mirror of https://github.com/CGAL/cgal
remove EdgeCollapsableSurfaceMesh concepts and use BGL ones
This commit is contained in:
Sébastien Loriot
parent
e2f89318e5
commit
d93ab6432b
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@ -13,7 +13,7 @@ and the derived visitor will never be used polymorphically at runtime (is perfec
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and hide a non-virtual method in the context of the static polymorphism used in the simplification algorithm).
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\tparam ECM is the type of surface mesh being simplified, and must be a model of the `EdgeCollapsableSurfaceMesh` concept.
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\tparam ECM is the type of surface mesh being simplified, and must be a model of the `MutableFaceGraph` and `HalfedgeListGraph` concepts.
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\cgalModels `EdgeCollapseSimplificationVisitor`
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@ -8,7 +8,7 @@ namespace Surface_mesh_simplification {
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The class `Count_ratio_stop_predicate` is a model for the `StopPredicate` concept
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which returns `true` when the relation between the initial and current number of edges drops below a certain ratio.
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\tparam ECM is the type of surface mesh being simplified, and must be a model of the `EdgeCollapsableSurfaceMesh` concept.
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\tparam ECM is the type of surface mesh being simplified, and must be a model of the `MutableFaceGraph` and `HalfedgeListGraph` concepts.
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\cgalModels `StopPredicate`
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@ -8,7 +8,7 @@ namespace Surface_mesh_simplification {
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The class `Count_stop_predicate` is a model for the `StopPredicate` concept,
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which returns `true` when the number of current edges drops below a certain threshold.
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\tparam ECM is the type of surface mesh being simplified, and must be a model of the `EdgeCollapsableSurfaceMesh` concept.
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\tparam ECM is the type of surface mesh being simplified, and must be a model of the `MutableFaceGraph` and `HalfedgeListGraph` concepts.
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\cgalModels `StopPredicate`
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@ -8,7 +8,7 @@ namespace Surface_mesh_simplification {
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The class `Edge_length_cost` is a model for the `GetCost` concept,
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which computes the collapse cost as the squared length of the edge.
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\tparam ECM is the type of surface mesh being simplified, and must be a model of the `EdgeCollapsableSurfaceMesh` concept.
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\tparam ECM is the type of surface mesh being simplified, and must be a model of the `MutableFaceGraph` and `HalfedgeListGraph` concepts.
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\cgalModels `GetCost`
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@ -7,7 +7,7 @@ namespace Surface_mesh_simplification {
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The class `Edge_profile` provides a model for the `EdgeProfile` concept.
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\tparam ECM is the type of surface mesh being simplified, and must be a model of the `EdgeCollapsableSurfaceMesh` concept.
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\tparam ECM is the type of surface mesh being simplified, and must be a model of the `MutableFaceGraph` and `HalfedgeListGraph` concepts.
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\cgalModels `EdgeProfile`
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@ -8,7 +8,7 @@ The class `LindstromTurk_cost` provides a model for the `GetCost` concept.
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It computes the collapse cost following the Lindstrom-Turk strategy
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(Section \ref SurfaceMeshSimplificationLindstromTurkStrategy)
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\tparam ECM is the type of surface mesh being simplified, and must be a model of the `EdgeCollapsableSurfaceMesh` concept.
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\tparam ECM is the type of surface mesh being simplified, and must be a model of the `MutableFaceGraph` and `HalfedgeListGraph` concepts.
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\cgalModels `GetCost`
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@ -10,7 +10,7 @@ It computes the placement, that is, the new position for the remaining vertex af
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a halfedge-collapse, following the Lindstrom-Turk strategy
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(Section \ref SurfaceMeshSimplificationLindstromTurkStrategy).
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\tparam ECM is the type of surface mesh being simplified, and must be a model of the `EdgeCollapsableSurfaceMesh` concept.
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\tparam ECM is the type of surface mesh being simplified, and must be a model of the `MutableFaceGraph` and `HalfedgeListGraph` concepts.
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\cgalModels `GetPlacement`
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@ -8,7 +8,7 @@ namespace Surface_mesh_simplification {
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The class `Midpoint_placement` is a model for the `GetPlacement` concept
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which computes the placement as the midpoint position along the edge.
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\tparam ECM is the type of surface mesh being simplified, and must be a model of the `EdgeCollapsableSurfaceMesh` concept.
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\tparam ECM is the type of surface mesh being simplified, and must be a model of the `MutableFaceGraph` and `HalfedgeListGraph` concepts.
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\cgalModels `GetPlacement`
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@ -7,7 +7,7 @@ namespace Surface_mesh_simplification {
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Simplifies `surface_mesh` in-place by collapsing edges, and returns
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the number of edges effectively removed.
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@tparam TriangleMesh a model of `EdgeCollapsableSurfaceMesh`
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@tparam TriangleMesh a model of the `MutableFaceGraph` and `HalfedgeListGraph` concepts.
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@tparam StopPolicy a model of `StopPredicate`
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@tparam NamedParameters a sequence of \ref sms_namedparameters "Named Parameters"
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@ -35,8 +35,6 @@ the number of edges effectively removed.
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\cgalParamBegin{edge_is_constrained_map}
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The property map containing the constrained-or-not status of each edge of `pmesh`
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\attention If this parameter is provided, `surface_mesh` must be a model of the
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`EdgeCollapsableSurfaceMeshWithConstraints` concept.
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\cgalParamEnd
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\cgalParamBegin{visitor}
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@ -1,98 +0,0 @@
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/*!
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\ingroup PkgSurfaceMeshSimplificationConcepts
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\cgalConcept
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The concept `EdgeCollapsableSurfaceMesh` describes the requirements for the type of
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triangulated surface mesh that can be passed to the
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simplification algorithm.
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The surface mesh must be structurally equivalent to a polyhedral surface
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having only triangular faces.
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It can have any number of connected components, boundaries
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(borders and holes) and handles (arbitrary genus).
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\cgalRefines `MutableFaceGraph`
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\cgalHeading{Valid Expressions}
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Let `v0v1` an edge of the triangulated surface mesh `ecm` and
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`v0` and `v1` being the source and target vertices of that edge.
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The surface mesh simplification algorithm requires the call to the function `Euler::edge_collapse(e,ecm)`
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to be valid and to return the vertex not removed after collapsing
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the edge `e` with the two halfedges `v0v1` and `v1v0`.
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For `h` \f$ \in \{\f$ `v0v1,v1v0` \f$ \}\f$, let `en` and `ep` be the next and previous
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edges, that is `en = next(h, surface_mesh)`, `ep = prev(h,surface_mesh)`, and let
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`eno` and `epo` be their opposite edges, that is
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`eno = opposite(en, surface_mesh)` and `epo = opposite(ep,surface_mesh)`.
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Then, after the collapse of `(v0v1,v1v0)` the following holds:
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<UL>
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<LI>The edge `e` is no longer in `surface_mesh`.
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<LI>One of \f$ \{\f$`v0,v1`\f$ \}\f$ is no longer in `surface_mesh` while the other remains.
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\cgalFootnote{Most of the time v0 is the vertex being removed but in some cases removing the edge e requires v1 to be removed. See Figure \ref CollapseFigure5.}
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Let `vgone` be the removed vertex and `vkept` be the remaining vertex.
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<LI>If `e` was a border edge, that is `get(CGAL::is_border, e, surface_mesh) == true`, then `next(ep) == en`, and `prev(en) == ep`.
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<LI>If `e` was not a border edge, that is `get(is_border, e, surface_mesh) == false`, then `ep` and `epo` are no longer in `surface_mesh` while `en` and `eno` are kept in `surface_mesh`.
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<LI>For all edges `ie` in `in_edges(vgone,surface_mesh)`, `target(ie,surface_mesh) == vkept` and `source(opposite(ie,surface_mesh),surface_mesh) == vkept`.
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<LI>No other incidence information has changed in `surface_mesh`.
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</UL>
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\image html general_collapse.png
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\image latex general_collapse.png
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<center><b>
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General case. The following surface mesh elements are removed: triangles (\f$ v0,v1,vL\f$) and (\f$ v1,v0,vR\f$), edges \f$ (e,e')\f$, \f$ (ep,epo)\f$ and \f$ (ep',epo')\f$, and vertex \f$ v0\f$.
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</b></center>
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\image html border_collapse3.png "When the collapsing edge is not itself a border, but is incident upon a border edge that is removed, the operation is the same as in the general case."
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\image latex border_collapse3.png "When the collapsing edge is not itself a border, but is incident upon a border edge that is removed, the operation is the same as in the general case."
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\image html border_collapse2.png
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\image latex border_collapse2.png
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<center><b>
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When the collapsing edge is not itself a border, but is incident upon
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a border edge that is <I>not</I> removed, the operation is still the
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same as in the general case.
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</b></center>
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\image html border_collapse1.png
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\image latex border_collapse1.png
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<center><b>
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When the collapsing edge is itself a border, only 1 triangle is
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removed. Thus, even if \f$ (ep',epo')\f$ exists, it's not removed.
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</b></center>
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\anchor CollapseFigure5
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\image html border_collapse4.png
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\image latex border_collapse4.png
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<center><b>
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This figure illustrates the single exceptional case when removing \f$
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(v0,v1)\f$ neccesarily implies removing \f$ (v1)\f$, thus \f$ (v0)\f$
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remains.
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</b></center>
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\cgalHasModel `CGAL::Polyhedron_3<Traits>` (If it has only triangular faces),
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using the specialization \link BGLPolyGT `boost::graph_traits< CGAL::Polyhedron_3<Traits> >` \endlink.
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\sa \link BGLPolyGT `boost::graph_traits< CGAL::Polyhedron_3<Traits> >` \endlink
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*/
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class EdgeCollapsableSurfaceMesh {
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public:
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}; /* end EdgeCollapsableSurfaceMesh */
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/*!
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Collapses the undirected edge `(v0v1,v1v0)` replacing it with `v0` or `v1`,
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as described in the paragraph above.
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\pre This function requires `surface_mesh` to be an oriented 2-manifold with or without boundaries. Furthermore, the undirected edge `(v0v1,v1v0)` must satisfy the <I>link condition</I> \cgalCite{degn-tpec-98}, which guarantees that the surface mesh is also 2-manifold after the edge collapse.
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\relates EdgeCollapsableSurfaceMesh
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*/
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template<class EdgeCollapsableSurfaceMesh>
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typename boost::graph_traits<EdgeCollapsableSurfaceMesh>::vertex_descriptor
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halfedge_collapse(typename boost::graph_traits<EdgeCollapsableSurfaceMesh>::edge_descriptor const& ue, EdgeCollapsableSurfaceMesh& surface_mesh);
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@ -1,60 +0,0 @@
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/*!
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\ingroup PkgSurfaceMeshSimplificationConcepts
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\cgalConcept
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The concept `EdgeCollapsableSurfaceMeshWithConstraints` describes additional requirements
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for the type of triangulated surface meshes that can be passed to the
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simplification algorithm.
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\cgalRefines `EdgeCollapsableSurfaceMesh`
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\cgalHeading{Valid Expressions}
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Let `v0v1` be an edge of the triangulated surface mesh `ecm` and
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`v0` and `v1` being the source and target vertices of that edge.
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The surface mesh simplification algorithm requires the call to the function `halfedge_collapse(v0v1,ecm)`
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to be valid and to return the vertex not removed after collapsing
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the undirected edge `(v0v1,v1v0)`.
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For `e` \f$ \in \{\f$ `v0v1,v1v0` \f$ \}\f$, let `en` and `ep` be the next and previous
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edges, that is `en = next_edge(e, surface_mesh)`, `ep = prev_edge(e,surface_mesh)`, and let
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`eno` and `epo` be their opposite edges, that is
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`eno = opposite_edge(en, surface_mesh)` and `epo = opposite_edge(ep,surface_mesh)`.
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Then, after the collapse of `(v0v1,v1v0)` the invariants described in the concept `EdgeCollapsableSurfaceMesh` hold
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if `ep` is not constrained. Otherwise, it is `en` that is removed from `ecm`.
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\image html collapse_constraints.png
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\image latex collapse_constraints.png
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\cgalHasModel `CGAL::Polyhedron_3<Traits>` (If it has only triangular faces),
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using the specialization \link BGLPolyGT `boost::graph_traits< CGAL::Polyhedron_3<Traits> >` \endlink.
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\sa \link BGLPolyGT `boost::graph_traits< CGAL::Polyhedron_3<Traits> >` \endlink
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*/
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class EdgeCollapsableSurfaceMeshWithConstraints {
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public:
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}; /* end EdgeCollapsableSurfaceMeshWithConstraints */
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/*!
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Collapses the undirected edge `(v0v1,v1v0)` replacing it with `v0` or `v1`,
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as described in the paragraph above and guarantees that a halfedge `he`, for which `get(edge_is_constrained_map, he)==true`, is not removed after the collapse.
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\tparam EdgeCollapsableSurfaceMeshWithConstraints a model of `HalfedgeGraph`
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\tparam EdgeIsConstrainedMap a model of `ReadablePropertyMap` with the edge descriptor of
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`EdgeCollapsableSurfaceMeshWithConstraints` as key type and a boolean as value type.
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It indicates if an edge is constrained or not.
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\pre This function requires `surface_mesh` to be an oriented 2-manifold with or without boundaries. Furthermore, the undirected edge `(v0v1,v1v0)` must satisfy the <I>link condition</I> \cgalCite{degn-tpec-98}, which guarantees that the surface mesh is also 2-manifold after the edge collapse.
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\pre `get(edge_is_constrained_map, v0v1)==get(edge_is_constrained_map, v1v0)==false`.
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\pre `v0` and `v1` are not both incident to a constrained edge.
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\relates EdgeCollapsableSurfaceMeshWithConstraints
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*/
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template<class EdgeCollapsableSurfaceMeshWithConstraints,class EdgeIsConstrainedMap>
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typename boost::graph_traits<EdgeCollapsableSurfaceMeshWithConstraints>::vertex_descriptor
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halfedge_collapse(typename boost::graph_traits<EdgeCollapsableSurfaceMeshWithConstraints>::edge_descriptor const& ue,
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EdgeCollapsableSurfaceMeshWithConstraints& surface_mesh,
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EdgeIsConstrainedMap edge_is_constrained_map);
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@ -16,7 +16,7 @@ public:
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/// @{
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/*!
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The type of the surface mesh to simplify. Must be a model of the `EdgeCollapsableSurfaceMesh` concept.
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The type of the surface mesh to simplify. Must be a model of the `MutableFaceGraph` and `HalfedgeListGraph` concepts.
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*/
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typedef unspecified_type ECM;
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@ -18,7 +18,7 @@ public:
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/// @{
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/*!
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The type of the surface mesh to simplify. Must be a model of the `EdgeCollapsableSurfaceMesh` concept.
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The type of the surface mesh to simplify. Must be a model of the `MutableFaceGraph` and `HalfedgeListGraph` concepts.
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*/
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typedef unspecified_type ECM;
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@ -18,7 +18,7 @@ public:
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/// @{
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/*!
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The type of the surface mesh to simplify. Must be a model of the `EdgeCollapsableSurfaceMesh` concept.
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The type of the surface mesh to simplify. Must be a model of the `MutableFaceGraph` and `HalfedgeListGraph` concepts.
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*/
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typedef unspecified_type ECM;
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@ -75,20 +75,20 @@ In addition to these named parameters, this package offers the following named p
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\cgalNPBegin{get_cost} \anchor SMS_get_cost
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is the policy which returns the collapse cost for an edge.\n
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<b>Type:</b> a model of the concept `GetCost`\n
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<b>Default:</b> The cost policy `CGAL::Surface_mesh_simplification::LindstromTurk_cost<EdgeCollapsableSurfaceMesh>`
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<b>Default:</b> The cost policy `CGAL::Surface_mesh_simplification::LindstromTurk_cost<TriangleMesh>`
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\cgalNPEnd
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\cgalNPBegin{get_placement} \anchor SMS_get_placement
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is the policy which returns the placement (position of the replacemet vertex) for an edge.\n
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<b>Type:</b> a model of the concept `GetPlacement`\n
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<b>Default:</b> The cost policy `CGAL::Surface_mesh_simplification::LindstromTurk_placement<EdgeCollapsableSurfaceMesh>`
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<b>Default:</b> The cost policy `CGAL::Surface_mesh_simplification::LindstromTurk_placement<TriangleMesh>`
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\cgalNPEnd
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\cgalNPBegin{visitor} \anchor SMS_visitor
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is the visitor that is called by the `edge_collapse()` function in certain points
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to allow the user to track the simplification process.being marked or not.
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If you wish to provide your own visitor, you can derive from:
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`CGAL::Surface_mesh_simplification::Edge_collapse_visitor_base<EdgeCollapsableSurfaceMesh>`
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`CGAL::Surface_mesh_simplification::Edge_collapse_visitor_base<TriangleMesh>`
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and override only the callbacks you are interested in.\n
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<b>Type:</b> user specific\n
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<b>Default:</b> an implementation-defined dummy visitor
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@ -22,8 +22,6 @@
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\cgalClassifedRefPages
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## Concepts ##
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- `EdgeCollapsableSurfaceMesh`
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- `EdgeCollapsableSurfaceMeshWithConstraints`
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- `EdgeProfile`
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- `StopPredicate`
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- `GetCost`
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@ -29,14 +29,7 @@ and the coordinates of the replacing vertex are determined by another user-suppl
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is met, such as reaching the desired number of edges.
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The algorithm implemented here is generic in the sense that it does not require the surface mesh
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to be of a particular type. Instead, it defines the concept of a `EdgeCollapsableSurfaceMesh`,
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which presents the surface mesh as being a halfedge data structure, and any surface mesh that
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is a model of that concept can be simplified. The concept is defined not in terms of a monolithic class, but in terms of a set
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of functions and traits, making it easy to adapt any concrete surface mesh type,
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even if it is not a halfedge data structure at all.
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In particular, the concept definition follows the design of the
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<A HREF="http://www.boost.org/libs/graph/doc/index.html"> Boost Graph Library (Bgl)</A>
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\cgalCite{cgal:sll-bgl-02}.
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to be of a particular type but to be a model of the `MutableFaceGraph` and `HalfedgeListGraph` concepts.
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The design is <A HREF="http://en.wikipedia.org/wiki/Policy-based_design"><I>policy-based</I></A>
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(<A HREF="http://en.wikipedia.org/wiki/Policy-based_design"><TT>http://en.wikipedia.org/wiki/Policy-based_design</TT></A>),
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@ -213,17 +206,7 @@ The simplification algorithm is implemented as the free template function
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There are two main parameters to the algorithm: the surface mesh to be simplified (in-place) and the stop predicate.
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The surface mesh to simplify must be a model of the `EdgeCollapsableSurfaceMesh` concept.
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Many concrete surface mesh types, such as `Polyhedron_3` with only triangular faces,
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become models of that concept via a technique known as
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<I>external adaptation</I>, which is described in \cgalCite{cgal:sll-bgl-02}
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and this <span class="textsc">Bgl</span> web page: <A HREF="http://www.boost.org/libs/graph/doc/leda_conversion.html"><TT>http://www.boost.org/libs/graph/doc/leda_conversion.html</TT></A>
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External adaptation is a way to add an interface to an
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object without coercing the type of the object (which happens when you adapt it by means
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of a wrapper). That is, the formal parameter to the `edge_collapse` function that
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implements the simplification is the concrete surface mesh object itself, not an adaptor
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which delegates the functionality to the concrete type.
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The surface mesh to simplify must be a model of the `MutableFaceGraph` and `HalfedgeListGraph` concepts.
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The stop predicate is called after each edge is selected for processing, <I>before</I>
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it is classified as collapsible or not (thus before it is collapsed). If the stop predicate
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113.9 444.1 m
|
||||
126.7 439.9 l 126.6 448.4 l 113.9 444.1 l h
|
||||
f*
|
||||
0 0 0 RG
|
||||
232 444.1 m
|
||||
230.6 444.1 l S
|
||||
229.2 444.1 m
|
||||
227.7 444.1 l S
|
||||
226.3 444.1 m
|
||||
224.8 444.1 l S
|
||||
223.4 444.1 m
|
||||
221.9 444.1 l S
|
||||
220.5 444.1 m
|
||||
219 444.1 l S
|
||||
217.6 444.1 m
|
||||
216.1 444.1 l S
|
||||
214.7 444.1 m
|
||||
213.3 444.1 l S
|
||||
211.8 444.1 m
|
||||
210.4 444.1 l S
|
||||
208.9 444.1 m
|
||||
207.5 444.1 l S
|
||||
206 444.1 m
|
||||
204.6 444.1 l S
|
||||
203.1 444.1 m
|
||||
201.7 444.1 l S
|
||||
200.2 444.1 m
|
||||
198.8 444.1 l S
|
||||
197.3 444.1 m
|
||||
195.9 444.1 l S
|
||||
194.5 444.1 m
|
||||
193 444.1 l S
|
||||
191.6 444.1 m
|
||||
190.1 444.1 l S
|
||||
188.7 444.1 m
|
||||
187.2 444.1 l S
|
||||
185.8 444.1 m
|
||||
184.3 444.1 l S
|
||||
182.9 444.1 m
|
||||
181.4 444.1 l S
|
||||
180 444.1 m
|
||||
178.6 444.1 l S
|
||||
177.1 444.1 m
|
||||
175.7 444.1 l S
|
||||
174.2 444.1 m
|
||||
172.8 444.1 l S
|
||||
171.3 444.1 m
|
||||
169.9 444.1 l S
|
||||
168.4 444.1 m
|
||||
167 444.1 l S
|
||||
165.5 444.1 m
|
||||
164.1 444.1 l S
|
||||
162.7 444.1 m
|
||||
161.2 444.1 l S
|
||||
159.8 444.1 m
|
||||
158.3 444.1 l S
|
||||
156.9 444.1 m
|
||||
155.4 444.1 l S
|
||||
154 444.1 m
|
||||
152.5 444.1 l S
|
||||
151.1 444.1 m
|
||||
149.6 444.1 l S
|
||||
148.2 444.1 m
|
||||
146.7 444.1 l S
|
||||
145.3 444.1 m
|
||||
143.9 444.1 l S
|
||||
142.4 444.1 m
|
||||
141 444.1 l S
|
||||
139.5 444.1 m
|
||||
138.1 444.1 l S
|
||||
136.6 444.1 m
|
||||
135.2 444.1 l S
|
||||
133.7 444.1 m
|
||||
132.3 444.1 l S
|
||||
130.8 444.1 m
|
||||
129.4 444.1 l S
|
||||
128 444.1 m
|
||||
126.5 444.1 l S
|
||||
125.1 444.1 m
|
||||
124.1 444.1 l S
|
||||
q 0 0 0 rg
|
||||
BT
|
||||
165.8 455.9 Td /F1 24 Tf <65> Tj
|
||||
ET
|
||||
Q
|
||||
q 0 0 0 rg
|
||||
BT
|
||||
183.8 493 Td /F1 24 Tf <65> Tj
|
||||
10.7 0 Td <6E> Tj
|
||||
ET
|
||||
Q
|
||||
q 0 0 0 rg
|
||||
BT
|
||||
218.4 507.9 Td /F1 24 Tf <65> Tj
|
||||
10.7 0 Td <6E> Tj
|
||||
12 0 Td <6F> Tj
|
||||
ET
|
||||
Q
|
||||
q 0 0 0 rg
|
||||
BT
|
||||
138.6 489.3 Td /F1 24 Tf <65> Tj
|
||||
10.7 0 Td <70> Tj
|
||||
ET
|
||||
Q
|
||||
q 0 0 0 rg
|
||||
BT
|
||||
99.1 509.7 Td /F1 24 Tf <65> Tj
|
||||
10.7 0 Td <70> Tj
|
||||
11.9 0 Td <6F> Tj
|
||||
ET
|
||||
Q
|
||||
q 0 0 0 rg
|
||||
BT
|
||||
95.5 437 Td /F1 24 Tf <76> Tj
|
||||
ET
|
||||
Q
|
||||
q 0 0 0 rg
|
||||
BT
|
||||
239.5 437.4 Td /F1 24 Tf <77> Tj
|
||||
ET
|
||||
Q
|
||||
0 0 0 rg
|
||||
44.6 392.1 m
|
||||
57 397.4 l 51.3 403.8 l 44.6 392.1 l h
|
||||
f*
|
||||
0 0 0 RG
|
||||
94.1 436 m
|
||||
93 435.1 l S
|
||||
91.9 434.1 m
|
||||
90.9 433.2 l S
|
||||
89.8 432.2 m
|
||||
88.7 431.2 l S
|
||||
87.6 430.3 m
|
||||
86.5 429.3 l S
|
||||
85.4 428.4 m
|
||||
84.4 427.4 l S
|
||||
83.3 426.5 m
|
||||
82.2 425.5 l S
|
||||
81.1 424.5 m
|
||||
80.1 423.6 l S
|
||||
78.9 422.6 m
|
||||
77.9 421.7 l S
|
||||
76.8 420.7 m
|
||||
75.7 419.7 l S
|
||||
74.6 418.8 m
|
||||
73.6 417.8 l S
|
||||
72.5 416.9 m
|
||||
71.4 415.9 l S
|
||||
70.3 414.9 m
|
||||
69.2 414 l S
|
||||
68.1 413 m
|
||||
67.1 412.1 l S
|
||||
66 411.1 m
|
||||
64.9 410.2 l S
|
||||
63.8 409.2 m
|
||||
62.7 408.2 l S
|
||||
61.7 407.3 m
|
||||
60.6 406.3 l S
|
||||
59.5 405.3 m
|
||||
58.4 404.4 l S
|
||||
57.3 403.4 m
|
||||
56.2 402.5 l S
|
||||
55.2 401.5 m
|
||||
54.1 400.5 l S
|
||||
53 399.6 m
|
||||
52.2 398.9 l S
|
||||
0 0 0 rg
|
||||
247.5 431.7 m
|
||||
251.5 418.9 l 258.4 423.8 l 247.5 431.7 l h
|
||||
f*
|
||||
0 0 0 RG
|
||||
282.1 383.5 m
|
||||
281.3 384.6 l S
|
||||
280.4 385.8 m
|
||||
279.6 387 l S
|
||||
278.8 388.2 m
|
||||
277.9 389.3 l S
|
||||
277.1 390.5 m
|
||||
276.2 391.7 l S
|
||||
275.4 392.9 m
|
||||
274.5 394 l S
|
||||
273.7 395.2 m
|
||||
272.8 396.4 l S
|
||||
272 397.6 m
|
||||
271.2 398.7 l S
|
||||
270.3 399.9 m
|
||||
269.5 401.1 l S
|
||||
268.6 402.2 m
|
||||
267.8 403.4 l S
|
||||
266.9 404.6 m
|
||||
266.1 405.8 l S
|
||||
265.3 406.9 m
|
||||
264.4 408.1 l S
|
||||
263.6 409.3 m
|
||||
262.7 410.5 l S
|
||||
261.9 411.7 m
|
||||
261 412.8 l S
|
||||
260.2 414 m
|
||||
259.3 415.2 l S
|
||||
258.5 416.3 m
|
||||
257.7 417.5 l S
|
||||
256.8 418.7 m
|
||||
256 419.9 l S
|
||||
255.1 421 m
|
||||
254.3 422.2 l S
|
||||
253.4 423.4 m
|
||||
253.4 423.4 l S
|
||||
q 0 0 0 rg
|
||||
BT
|
||||
164.6 420 Td /F1 24 Tf <65> Tj
|
||||
10.7 0 Td <27> Tj
|
||||
ET
|
||||
Q
|
||||
q 0 0 0 rg
|
||||
BT
|
||||
73.7 395.9 Td /F1 24 Tf <65> Tj
|
||||
10.7 0 Td <6E> Tj
|
||||
12 0 Td <27> Tj
|
||||
ET
|
||||
Q
|
||||
q 0 0 0 rg
|
||||
BT
|
||||
242.6 383.5 Td /F1 24 Tf <65> Tj
|
||||
10.7 0 Td <70> Tj
|
||||
11.9 0 Td <27> Tj
|
||||
ET
|
||||
Q
|
||||
0 0 0 rg
|
||||
454 545.2 m
|
||||
449.8 532.5 l 458.3 532.5 l 454 545.2 l h
|
||||
f*
|
||||
0 0 0 RG
|
||||
454.4 449.6 m
|
||||
454.1 535 l S
|
||||
0 0 0 rg
|
||||
461.3 450.8 m
|
||||
465.5 463.6 l 457 463.6 l 461.3 450.8 l h
|
||||
f*
|
||||
0 0 0 RG
|
||||
461 541.3 m
|
||||
461.3 461 l S
|
||||
q 0 0 0 rg
|
||||
BT
|
||||
471.5 497.3 Td /F1 24 Tf <65> Tj
|
||||
10.7 0 Td <6E> Tj
|
||||
11.9 0 Td <6F> Tj
|
||||
ET
|
||||
Q
|
||||
q 0 0 0 rg
|
||||
BT
|
||||
417.1 498.6 Td /F1 24 Tf <65> Tj
|
||||
10.7 0 Td <6E> Tj
|
||||
ET
|
||||
Q
|
||||
q 0 0 0 rg
|
||||
BT
|
||||
449.9 425.6 Td /F1 24 Tf <77> Tj
|
||||
ET
|
||||
Q
|
||||
0 0 0 rg
|
||||
338.5 382.8 m
|
||||
351.9 384 l 348.4 391.8 l 338.5 382.8 l h
|
||||
f*
|
||||
0 0 0 RG
|
||||
443.8 429.1 m
|
||||
442.5 428.6 l S
|
||||
441.2 428 m
|
||||
439.9 427.4 l S
|
||||
438.5 426.8 m
|
||||
437.2 426.3 l S
|
||||
435.9 425.7 m
|
||||
434.6 425.1 l S
|
||||
433.2 424.5 m
|
||||
431.9 423.9 l S
|
||||
430.6 423.3 m
|
||||
429.3 422.8 l S
|
||||
427.9 422.2 m
|
||||
426.6 421.6 l S
|
||||
425.3 421 m
|
||||
424 420.4 l S
|
||||
422.7 419.8 m
|
||||
421.3 419.3 l S
|
||||
420 418.7 m
|
||||
418.7 418.1 l S
|
||||
417.4 417.5 m
|
||||
416 416.9 l S
|
||||
414.7 416.4 m
|
||||
413.4 415.8 l S
|
||||
412.1 415.2 m
|
||||
410.7 414.6 l S
|
||||
409.4 414 m
|
||||
408.1 413.4 l S
|
||||
406.8 412.9 m
|
||||
405.5 412.3 l S
|
||||
404.1 411.7 m
|
||||
402.8 411.1 l S
|
||||
401.5 410.5 m
|
||||
400.2 410 l S
|
||||
398.8 409.4 m
|
||||
397.5 408.8 l S
|
||||
396.2 408.2 m
|
||||
394.9 407.6 l S
|
||||
393.6 407 m
|
||||
392.2 406.5 l S
|
||||
390.9 405.9 m
|
||||
389.6 405.3 l S
|
||||
388.3 404.7 m
|
||||
386.9 404.1 l S
|
||||
385.6 403.5 m
|
||||
384.3 403 l S
|
||||
383 402.4 m
|
||||
381.6 401.8 l S
|
||||
380.3 401.2 m
|
||||
379 400.6 l S
|
||||
377.7 400.1 m
|
||||
376.4 399.5 l S
|
||||
375 398.9 m
|
||||
373.7 398.3 l S
|
||||
372.4 397.7 m
|
||||
371.1 397.1 l S
|
||||
369.7 396.6 m
|
||||
368.4 396 l S
|
||||
367.1 395.4 m
|
||||
365.8 394.8 l S
|
||||
364.5 394.2 m
|
||||
363.1 393.7 l S
|
||||
361.8 393.1 m
|
||||
360.5 392.5 l S
|
||||
359.1 391.9 m
|
||||
357.8 391.3 l S
|
||||
356.5 390.7 m
|
||||
355.2 390.2 l S
|
||||
353.8 389.6 m
|
||||
352.5 389 l S
|
||||
351.2 388.4 m
|
||||
349.9 387.8 l S
|
||||
348.5 387.2 m
|
||||
347.8 386.9 l S
|
||||
0 0 0 rg
|
||||
468 427.3 m
|
||||
477.5 417.8 l 481.3 425.5 l 468 427.3 l h
|
||||
f*
|
||||
0 0 0 RG
|
||||
576 374.1 m
|
||||
574.7 374.8 l S
|
||||
573.4 375.4 m
|
||||
572.1 376.1 l S
|
||||
570.8 376.7 m
|
||||
569.5 377.3 l S
|
||||
568.2 378 m
|
||||
566.9 378.6 l S
|
||||
565.6 379.3 m
|
||||
564.3 379.9 l S
|
||||
563 380.5 m
|
||||
561.7 381.2 l S
|
||||
560.4 381.8 m
|
||||
559.1 382.4 l S
|
||||
557.8 383.1 m
|
||||
556.5 383.7 l S
|
||||
555.2 384.4 m
|
||||
553.9 385 l S
|
||||
552.6 385.6 m
|
||||
551.3 386.3 l S
|
||||
550 386.9 m
|
||||
548.8 387.5 l S
|
||||
547.5 388.2 m
|
||||
546.2 388.8 l S
|
||||
544.8 389.5 m
|
||||
543.5 390.1 l S
|
||||
542.3 390.7 m
|
||||
541 391.4 l S
|
||||
539.7 392 m
|
||||
538.4 392.6 l S
|
||||
537.1 393.3 m
|
||||
535.8 393.9 l S
|
||||
534.5 394.6 m
|
||||
533.2 395.2 l S
|
||||
531.9 395.8 m
|
||||
530.6 396.5 l S
|
||||
529.3 397.1 m
|
||||
528 397.8 l S
|
||||
526.7 398.4 m
|
||||
525.4 399 l S
|
||||
524.1 399.7 m
|
||||
522.8 400.3 l S
|
||||
521.5 400.9 m
|
||||
520.2 401.6 l S
|
||||
518.9 402.2 m
|
||||
517.6 402.9 l S
|
||||
516.3 403.5 m
|
||||
515 404.1 l S
|
||||
513.7 404.8 m
|
||||
512.4 405.4 l S
|
||||
511.1 406 m
|
||||
509.8 406.7 l S
|
||||
508.5 407.3 m
|
||||
507.2 408 l S
|
||||
505.9 408.6 m
|
||||
504.7 409.2 l S
|
||||
503.3 409.9 m
|
||||
502 410.5 l S
|
||||
500.7 411.1 m
|
||||
499.5 411.8 l S
|
||||
498.2 412.4 m
|
||||
496.9 413.1 l S
|
||||
495.6 413.7 m
|
||||
494.3 414.3 l S
|
||||
493 415 m
|
||||
491.7 415.6 l S
|
||||
490.4 416.2 m
|
||||
489.1 416.9 l S
|
||||
487.8 417.5 m
|
||||
486.5 418.2 l S
|
||||
485.2 418.8 m
|
||||
483.9 419.5 l S
|
||||
482.6 420.1 m
|
||||
481.3 420.7 l S
|
||||
480 421.4 m
|
||||
478.7 422 l S
|
||||
477.4 422.7 m
|
||||
477.1 422.8 l S
|
||||
q 0 0 0 rg
|
||||
BT
|
||||
390.4 385.3 Td /F1 24 Tf <65> Tj
|
||||
10.7 0 Td <6E> Tj
|
||||
12 0 Td <27> Tj
|
||||
ET
|
||||
Q
|
||||
q 0 0 0 rg
|
||||
BT
|
||||
496.2 379.8 Td /F1 24 Tf <65> Tj
|
||||
10.7 0 Td <70> Tj
|
||||
12 0 Td <27> Tj
|
||||
ET
|
||||
Q
|
||||
0 0 0 rg
|
||||
365.4 460.6 m
|
||||
343 468.1 l 343 453.2 l 365.4 460.6 l h
|
||||
f*
|
||||
278.8 462.8 m
|
||||
347.4 462.8 l 347.4 458.5 l 278.8 458.5 l 278.8 462.8 l
|
||||
h
|
||||
f*
|
||||
0 0 0 RG
|
||||
101.2 431 m
|
||||
100.7 431 l 100.2 431 l 99.8 431 l 99.3 431.1 l 98.8 431.2 l
|
||||
98.4 431.3 l 97.9 431.4 l 97.5 431.6 l 97 431.7 l 96.6 431.9 l 96.2 432 l
|
||||
95.7 432.2 l 95.3 432.4 l 94.9 432.7 l 94.5 432.9 l 94.1 433.1 l 93.7 433.4 l
|
||||
93.4 433.7 l 93 434 l 92.7 434.3 l 92.3 434.6 l 92 434.9 l 91.7 435.3 l
|
||||
91.4 435.6 l 91.1 436 l 90.8 436.3 l 90.5 436.7 l 90.3 437.1 l 90 437.5 l
|
||||
89.8 437.9 l 89.5 438.3 l 89.3 438.8 l 89.1 439.2 l 89 439.7 l 88.8 440.1 l
|
||||
88.6 440.6 l 88.5 441 l 88.4 441.5 l 88.3 442 l 88.2 442.5 l 88.1 442.9 l
|
||||
88 443.5 l 88 444 l 88 444.5 l 88 445 l 88 445.5 l 88 446 l 88 446.5 l
|
||||
88.1 447 l 88.2 447.5 l 88.3 448 l 88.4 448.4 l 88.5 448.9 l 88.6 449.4 l
|
||||
88.8 449.9 l 89 450.3 l 89.1 450.7 l 89.3 451.2 l 89.5 451.6 l 89.8 452 l
|
||||
90 452.4 l 90.3 452.8 l 90.5 453.2 l 90.8 453.6 l 91.1 454 l 91.4 454.3 l
|
||||
91.7 454.7 l 92 455 l 92.3 455.4 l 92.7 455.7 l 93 456 l 93.4 456.3 l
|
||||
93.7 456.6 l 94.1 456.8 l 94.5 457.1 l 94.9 457.3 l 95.3 457.5 l 95.7 457.7 l
|
||||
96.2 457.9 l 96.6 458.1 l 97 458.3 l 97.5 458.4 l 97.9 458.5 l 98.4 458.7 l
|
||||
98.8 458.8 l 99.3 458.8 l 99.8 458.9 l 100.2 458.9 l 100.7 459 l 101.2 459 l
|
||||
101.7 459 l 102.1 458.9 l 102.6 458.9 l 103.1 458.8 l 103.5 458.8 l
|
||||
104 458.7 l 104.5 458.5 l 104.9 458.4 l 105.4 458.3 l 105.8 458.1 l
|
||||
106.2 457.9 l 106.6 457.7 l 107 457.5 l 107.5 457.3 l 107.9 457.1 l
|
||||
108.2 456.8 l 108.6 456.6 l 109 456.3 l 109.3 456 l 109.7 455.7 l 110 455.4 l
|
||||
110.4 455 l 110.7 454.7 l 111 454.3 l 111.3 454 l 111.6 453.6 l 111.8 453.2 l
|
||||
112.1 452.8 l 112.3 452.4 l 112.6 452 l 112.8 451.6 l 113 451.2 l 113.2 450.7 l
|
||||
113.4 450.3 l 113.6 449.9 l 113.7 449.4 l 113.9 448.9 l 114 448.4 l
|
||||
114.1 448 l 114.2 447.5 l 114.3 447 l 114.3 446.5 l 114.3 446 l 114.4 445.5 l
|
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Reference in New Issue