mirror of https://github.com/CGAL/cgal
Finaly I have finished the DOC for Nef_2 polyhedron !!!
This commit is contained in:
Radu Ursu
parent
a536133b2e
commit
6ca8ebeb32
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@ -15,18 +15,42 @@
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<LI><A href="#close_window">Close the current window</A></LI>
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<LI><A href="#quit">Quit the application</A></LI>
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</UL><br>
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Editing
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Nef_2 visualisation using lists
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<UL>
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<LI><A href="#sel">Select nef for visualisation</A></LI>
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<LI><A href="#unsel">Toggle ON/OFF nef visualisation</A></LI>
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</UL><br>
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Building and erasing nefs
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<UL>
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<LI><A href="#gen_tr">Generate Delaunay triangulation</A></LI>
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<LI><A href="#insert_vertex">Insert a new vertex</A></LI>
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<LI><A href="#delete_vertex">Delete existing vertex</A></LI>
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<LI><A href="#move_vertex">Move existing vertex</A></LI>
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<LI><A href="#line_walk">Input a line to display line_walk</A></LI>
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</UL>
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<LI><A href="#build_nef_p">Create a Nef polyhedron consisting of one
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point</A></LI>
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<LI><A href="#build_nef_l">Create a Nef polyhedron consisting of
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a halfplane</A></LI>
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<LI><A href="#build_nef_poly">Create a Nef polyhedron from a simple
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polygon</A></LI>
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<LI><A href="#erase_nef">Erase an existing Nef polyhedron</A></LI>
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</UL><br>
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Constructive Operations
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<UL>
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<LI><A href="#op_intersection">Intersection</A></LI>
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<LI><A href="#op_uninon">Union</A></LI>
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<LI><A href="#op_difference">Difference</A></LI>
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<LI><A href="#op_symmetric_difference">Symmetric Difference</A></LI>
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<LI><A href="#op_complement">Complement</A></LI>
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<LI><A href="#op_interior">Interior</A></LI>
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<LI><A href="#op_closure">Closure</A></LI>
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<LI><A href="#op_boundary">Boundary</A></LI>
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<LI><A href="#op_regularization">Regularization</A></LI>
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</UL><br>
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Persistance
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<UL>
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<LI><A href="#save_triangulation">Save the current triangulation</A></LI>
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<LI><A href="#load_triangulation">Load an existing triangulation</A></LI>
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<LI><A href="#save_nef">Save the current Nef polyhedron</A></LI>
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<LI><A href="#load_nef">Load an existing Nef polyhedron</A></LI>
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<LI><A href="#load_poly">Load an existing simple polygon and construct
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the Nef polyhedron from this polygon</A></LI>
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</UL>
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<P align="left"><STRONG><FONT size="5"></FONT></STRONG> </P>
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@ -41,7 +65,7 @@
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<P align="left"><STRONG>
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<FONT color="#3300cc" size="3">Reset application</FONT></STRONG></P>
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Press Ctrl+N combination keys or go to File menu and choose "New".
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The triangulation will be erased, the window's viewport will be set
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All nefs constructed will be erased, the window's visible area will be set
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to default. (-1, 1, -1, 1)
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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@ -51,8 +75,8 @@
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<P align="left"><STRONG>
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<FONT color="#3300cc" size="3">Create a new window</FONT></STRONG></P>
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Press Ctrl+W combination keys or go to File menu and choose "New Window".
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A new window will appear, modifying the viewport to make the
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triangulation fit in the new window.
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A new window will appear, the window's visible area will be set
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to default. (-1, 1, -1, 1)
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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<A name="print"></A></FONT></STRONG> </P>
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@ -62,7 +86,8 @@
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<FONT color="#3300cc" size="3">Print</FONT></STRONG></P>
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Press Ctrl+P combination keys or go to File menu and choose "Print".
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The visible area on the screen will be outputed to the print device
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of your choice.
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of your choice. There are printers that does not support the raster
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opertions. I have used XOR to achieve the transparency effect.
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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@ -87,121 +112,272 @@
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When you quit the application, all the windows you have created will
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be destroyed.
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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<A name="gen_tr"></A></FONT></STRONG> </P>
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<A name="sel"></A></FONT></STRONG> </P>
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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</FONT></STRONG> </P>
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<P align="left"><STRONG>
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<FONT color="#3300cc" size="3">Generate Delaunay triangulation</FONT>
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<FONT color="#3300cc" size="3">Select Nef for visualisation</FONT>
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</STRONG></P>
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To generate a Delaunay triangulation, go to Edit menu and choose
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"Generate Triangulation" button, or press Ctrl+G combination keys.
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Each time you generate the triangulation, the old one will be erased.
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You can visualise at most two nef polyhedrons at one time. There are two
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lists that correspond to each nef you can display. The left one
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corresponds to the blue nef, the right one correspons to the gray one. To
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select a nef polyhedron from the list just press the left mouse button
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over the item's text. You should see the result on the widget, if the
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polyhedron corresponds to the current visible area. The default one
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is (-1, 1, -1, 1).
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You should notice that you can see both nef polyhedrons even if there are
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overlapping parts. The gray one is always on top.
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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<A name="insert_vertex"></A></FONT></STRONG> </P>
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<A name="unsel"></A></FONT></STRONG> </P>
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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</FONT></STRONG> </P>
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<P align="left"><STRONG>
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<FONT color="#3300cc" size="3">Insert a new vertex</FONT></STRONG></P>
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<IMG SRC="help/input_point_layer.gif"></IMG>
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<FONT color="#3300cc" size="3">Toggle ON/OFF nef visualisation</FONT>
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</STRONG></P>
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Selecting and unselecting nef items from the nef_2 lists, you can toggle
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ON or OFF the visualisation of nefs already created. To unselect an item
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just press once again on it using the left mouse button.
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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<A name="build_nef_p"></A></FONT></STRONG> </P>
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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</FONT></STRONG> </P>
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<P align="left"><STRONG>
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<FONT color="#3300cc" size="3">Create a Nef polyhedron consisting of
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one point</FONT>
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</STRONG></P>
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Left click on the "Input point" layer. Be sure there is no layer
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activated in standard toolbar that eat events. To be sure, press the
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arrow button situated on the standard toolbar. Left Click anywhere on the
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application's drawing area (the black rectangle) to insert the vertex.
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The vertex is inserted in the triangulation. To see the conflict zone
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keep the left mouse button pressed. The vertex is inserted when you
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release the button.<br>
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<table border=0><tr><td><IMG SRC="help/conflict_zone.gif" HEIGHT=70></IMG>
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</td><td><IMG SRC="help/conflict_zone_after.gif" HEIGHT=70></IMG></td>
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</tr></table>
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To insert more than one vertex, keep clicking on the rectangle without
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deactivating the "Input point" layer. To deactivate this layer, just
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press the arrow button situated on the same toolbar.
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application's drawing area (the black rectangle) to create the new nef_2.
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This one will be also added at the end of both nef_2 lists. You will see
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only the new created nef on the screen, and the lists will reflect the
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changes.
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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<A name="delete_vertex"></A></FONT></STRONG> </P>
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<P align="left"><STRONG><FONT color="#3300cc" size="4"></FONT>
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</STRONG> </P>
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<P align="left"><STRONG>
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<FONT color="#3300cc" size="3">Delete an existing vertex</FONT>
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</STRONG></P>
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<IMG SRC="help/movedelete_point_layer.gif"></IMG>
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(1)Left click on the "Move/Delete vertex" layer. If the "Input point"
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layer was active, it will deactivate itself. (2)Right click on the
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drawing area (the black rectangle) near an existing vertex. A popup menu
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will apear and the selected vertex will be highlighted. If the popup
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doesn't appear, press the arrow button on the "standard toolbar" to
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deactivate all layers that could eat the events. (3)Choose "Delete".
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The vertex will be removed from the triangulation. To delete more than
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one vertex, repeat the process from (2) to (3). To deactivate this layer,
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just press the arrow button situated on the same toolbar.
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<A name="build_nef_l"></A></FONT></STRONG> </P>
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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<A name="move_vertex"></A></FONT></STRONG> </P>
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<P align="left"><STRONG><FONT color="#3300cc" size="4"></FONT>
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</STRONG> </P>
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</FONT></STRONG> </P>
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<P align="left"><STRONG>
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<FONT color="#3300cc" size="3">Move existing vertex</FONT></STRONG></P>
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<IMG SRC="help/movedelete_point_layer.gif"></IMG>
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(1)Left click on the "Move/Delete vertex" layer. If the "Input point"
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or "Input line" layer was active, it will deactivate itself. (2)Right
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click on the drawing area (the black rectangle) near an existing vertex.
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A popup menu will apear and the selected vertex will be highlighted.
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(3)Choose "Move". From this moment, the vertex will move as you move the
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mouse. The triangulation will reflect the changes. (4)Left click on the
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drawing area will position the vertex at the mouse coordinates. You may
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repeat the process from the step (2) to (4). To deactivate this layer,
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just press the arrow button situated on the same toolbar.
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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<A name="line_walk"></A></FONT></STRONG> </P>
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<P align="left"><STRONG><FONT color="#3300cc" size="4"></FONT>
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</STRONG> </P>
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<P align="left"><STRONG>
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<FONT color="#3300cc" size="3">Input line to display the line_walk
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</FONT></STRONG></P>
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<IMG SRC="help/input_line_layer.gif"></IMG>
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Left Click on the "Input Line" layer. If the "Input point" or
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"Move/Delete vertex" layer was active, it will deactivate itself. Lef
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click on the drawing area to define the first point of the line. Move the
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mouse where you want the second point be situated. As you move the mouse
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you will see a line defined by the first point and the point situated at
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mouse coordinates. Click the left mouse button. The final line will be
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displayed and you can see the result of the line walk alghoritm, the
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triangles intersected by this line will be highlighted on the screen.
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<FONT color="#3300cc" size="3">Create a Nef polyhedron consisting of
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a halfplane</FONT></STRONG></P>
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Left click on the "Input line" layer. Be sure there is no layer
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activated in standard toolbar that eat events. To be sure, press the
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arrow button situated on the standard toolbar. Left Click anywhere on the
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application's drawing area (the black rectangle) to fix the first point
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that generates the line. Use the mouse to position the second point. Once
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you have determined the second point, press the left mouse button once
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again. This will create a Nef consisting of a halfplane determined by the
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oriented line, the line being also included.
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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<A name="save_triangulation"></A></FONT></STRONG> </P>
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<A name="build_nef_poly"></A></FONT></STRONG> </P>
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<P align="left"><STRONG><FONT color="#3300cc" size="4"></FONT>
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</STRONG> </P>
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<P align="left"><STRONG>
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<FONT color="#3300cc" size="3">Save the current triangulation</FONT>
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<FONT color="#3300cc" size="3">Create a Nef polyhedron from a simple
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polygon</FONT>
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</STRONG></P>
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Left Click on the "Input Simple Polygon" layer. Be sure there is no layer
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activated in the standard toolbar that eat events. To be sure, press the
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arrow button situated on the standard toolbar. Left Click anywhere on the
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application's drawing area (the black rectangle) to insert points in the
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polygon. You may press "Esc" key if you want to erase the last point.
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Once you have completed the polygon press the right click to close the
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polygon. This will create a Nef polyhedron from the simple polygon, the
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boundary line being included.
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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<A name="erase_nef"></A></FONT></STRONG> </P>
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<P align="left"><STRONG><FONT color="#3300cc" size="4"></FONT>
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</STRONG> </P>
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<P align="left"><STRONG>
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<FONT color="#3300cc" size="3">Erase an existing Nef polyhedron</FONT>
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</STRONG></P>
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To erase an existing Nef polyhedron, you have to select one from the list,
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it does not matter which one, the left or the right, and to press delete
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key. This action will remove the nef selected from the lists of the
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current window and from all the other lists opened in different windows.
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This happens in case you are working with multiple windows.
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There is one problem that I could not get rid of. If you are working with
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multiple windows and remove one nef that is currently displayed in some
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other window, that window will continue to display the removed nef. I
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will try to remove this drawback in the near future. The workaround could
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be to reselect the desired nefs in that window before doing more
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operations.
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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<A name="op_intersection"></A></FONT></STRONG> </P>
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<P align="left"><STRONG><FONT color="#3300cc" size="4"></FONT>
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</STRONG> </P>
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<P align="left"><STRONG>
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<FONT color="#3300cc" size="3">Intersection</FONT>
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</STRONG></P>
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After selecting the blue Nef from the left list and the gray Nef from the
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right list, press the "INTERSECTION" button on the operations toolbar.
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This will compute the INTERSECTION between those two nefs. The exact
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operation is AND(BLUE, GRAY). You will see the new Nef added in both top
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lists.
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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<A name="op_union"></A></FONT></STRONG> </P>
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<P align="left"><STRONG><FONT color="#3300cc" size="4"></FONT>
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</STRONG> </P>
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<P align="left"><STRONG>
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<FONT color="#3300cc" size="3">Union</FONT>
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</STRONG></P>
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After selecting the blue Nef from the left list and the gray Nef from the
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right list, press the "UNION" button on the operations toolbar.
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This will compute the UNION between those two nefs. The exact operation is
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OR(BLUE ,GRAY). You will see the new Nef added in both top lists.
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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<A name="op_difference"></A></FONT></STRONG> </P>
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<P align="left"><STRONG><FONT color="#3300cc" size="4"></FONT>
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</STRONG> </P>
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<P align="left"><STRONG>
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<FONT color="#3300cc" size="3">Difference</FONT>
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</STRONG></P>
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After selecting the blue Nef from the left list and the gray Nef from the
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right list, press the "DIFFERENCE" button on the operations toolbar.
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This will compute the DIFFERENCE between those two nefs. The exact
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operation is DIF(BLUE, GRAY). You will see the new Nef added in both top
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lists.
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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<A name="op_symmetric_difference"></A></FONT></STRONG> </P>
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<P align="left"><STRONG><FONT color="#3300cc" size="4"></FONT>
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</STRONG> </P>
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<P align="left"><STRONG>
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<FONT color="#3300cc" size="3">Symmetric Difference</FONT>
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</STRONG></P>
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After selecting the blue Nef from the left list and the gray Nef from the
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right list, press the "SYMMETRIC DIFFERENCE" button on the operations
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toolbar.
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This will compute the SYMMETRIC DIFFERENCE between those two nefs. The
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exact operation is SYM_DIF(BLUE, GRAY) = OR(DIF(BLUE, GRAY),
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DIF(GRAY, BLUE)). You will see the new Nef added in both top
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lists.
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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<A name="op_complement"></A></FONT></STRONG> </P>
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<P align="left"><STRONG><FONT color="#3300cc" size="4"></FONT>
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</STRONG> </P>
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<P align="left"><STRONG>
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<FONT color="#3300cc" size="3">Complement</FONT>
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</STRONG></P>
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This unary operation returns the complement of the BLUE Nef polyhedron in
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the plane. Select the Nef polyhedron of your choice and press the
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COMPLEMENT toolbar button.
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You will see the new Nef added in both top lists.
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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<A name="op_interior"></A></FONT></STRONG> </P>
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<P align="left"><STRONG><FONT color="#3300cc" size="4"></FONT>
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</STRONG> </P>
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<P align="left"><STRONG>
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<FONT color="#3300cc" size="3">Interior</FONT>
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</STRONG></P>
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This unary operation returns the interior of the BLUE Nef polyhedron
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selected. Select the Nef polyhedron of your choice and press the
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INTERIOR toolbar button.
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You will see the new Nef added in both top lists.
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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<A name="op_closure"></A></FONT></STRONG> </P>
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<P align="left"><STRONG><FONT color="#3300cc" size="4"></FONT>
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</STRONG> </P>
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<P align="left"><STRONG>
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<FONT color="#3300cc" size="3">Closure</FONT>
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</STRONG></P>
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This unary operation returns the closure of the BLUE Nef polyhedron
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selected. Select the Nef polyhedron of your choice and press the
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CLOSURE toolbar button.
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You will see the new Nef added in both top lists.
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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<A name="op_boundary"></A></FONT></STRONG> </P>
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<P align="left"><STRONG><FONT color="#3300cc" size="4"></FONT>
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</STRONG> </P>
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<P align="left"><STRONG>
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<FONT color="#3300cc" size="3">Boundary</FONT>
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</STRONG></P>
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This unary operation returns the boundary of the BLUE Nef polyhedron
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selected. Select the Nef polyhedron of your choice and press the
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BOUNDARY toolbar button.
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You will see the new Nef added in both top lists.
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<P align="left"><STRONG><FONT color="#3300cc" size="4">
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<A name="op_regularization"></A></FONT></STRONG> </P>
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<P align="left"><STRONG><FONT color="#3300cc" size="4"></FONT>
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</STRONG> </P>
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<P align="left"><STRONG>
|
||||
<FONT color="#3300cc" size="3">Regularization</FONT>
|
||||
</STRONG></P>
|
||||
This unary operation returns the regularized polyhedron of the BLUE Nef
|
||||
polyhedron selected. It is in fact the closure of the interior. Select the
|
||||
Nef polyhedron of your choice and press the REGULARIZATION toolbar button.
|
||||
You will see the new Nef added in both top lists.
|
||||
|
||||
|
||||
|
||||
<P align="left"><STRONG><FONT color="#3300cc" size="4">
|
||||
<A name="save_nef"></A></FONT></STRONG> </P>
|
||||
<P align="left"><STRONG><FONT color="#3300cc" size="4"></FONT>
|
||||
</STRONG> </P>
|
||||
<P align="left"><STRONG>
|
||||
<FONT color="#3300cc" size="3">Save the current Nef polyhedron</FONT>
|
||||
</STRONG></P>
|
||||
Press Ctrl+S combination keys or go to File menu, then choose
|
||||
"Save Triangulation". A save file dialog will appear, the default name
|
||||
given is "triangulation.cgal". You may change the name then press "Save"
|
||||
"Save Nef_2". A save file dialog will appear, the default name
|
||||
given is "nef_2.cgal". You may change the name then press "Save"
|
||||
or hit "Enter" key. To cancel the save process just press Esc key.<br>
|
||||
<FONT SIZE=3 COLOR="#0000FF"> The triangulation saved does not contain
|
||||
<FONT SIZE=3 COLOR="#0000FF"> The Nef polyhedron saved does not contain
|
||||
the visible area.</FONT>
|
||||
|
||||
|
||||
<P align="left"><STRONG><FONT color="#3300cc" size="4">
|
||||
<A name="load_triangulation"></A></FONT></STRONG> </P>
|
||||
<A name="load_nef"></A></FONT></STRONG> </P>
|
||||
<P align="left"><STRONG><FONT color="#3300cc" size="4"></FONT>
|
||||
</STRONG> </P>
|
||||
<P align="left"><STRONG>
|
||||
<FONT color="#3300cc" size="3">Load an existing triangulation</FONT>
|
||||
<FONT color="#3300cc" size="3">Load an existing Nef polyhedron</FONT>
|
||||
</STRONG></P>
|
||||
Press Ctrl+L combination keys or go to File menu and choose "Load
|
||||
Triangulation". A load file dialog will appear, having a filter that
|
||||
Nef_2". A load file dialog will appear, having a filter that
|
||||
displays only the files with "cgal" extension. Choose a file then press
|
||||
"Open" button or hit "Enter" key.<br>
|
||||
<FONT SIZE=3 COLOR="#0000FF"> The triangulation saved does not contain
|
||||
the visible area. The application will change the current visible area
|
||||
to fit the bounding box of the triangualtion.</FONT>
|
||||
<FONT SIZE=3 COLOR="#0000FF"> The Nef polyhedron saved does not contain
|
||||
the visible area.</FONT>
|
||||
|
||||
<P align="left"><STRONG><FONT color="#3300cc" size="4">
|
||||
<A name="load_poly"></A></FONT></STRONG> </P>
|
||||
<P align="left"><STRONG><FONT color="#3300cc" size="4"></FONT>
|
||||
</STRONG> </P>
|
||||
<P align="left"><STRONG>
|
||||
<FONT color="#3300cc" size="3">Load an existing simple polygon and
|
||||
construct the Nef polyhedron from this polygon</FONT>
|
||||
</STRONG></P>
|
||||
Press Ctrl+O combination keys or go to File menu and choose "Load
|
||||
Polygon_2". A load file dialog will appear, having a filter that
|
||||
displays only the files with "cgal" extension. Choose a file then press
|
||||
"Open" button or hit "Enter" key.<br>
|
||||
<FONT SIZE=3 COLOR="#0000FF"> The CGAL polygon saved does not contain
|
||||
the visible area.</FONT>
|
||||
<P align="left"><STRONG><FONT size="5"></FONT></STRONG> </P>
|
||||
<P align="left"><STRONG><FONT size="5"></FONT></STRONG> </P>
|
||||
|
||||
|
|
@ -210,7 +386,7 @@
|
|||
<hr>
|
||||
<!-- Created: Mon Jan 13 15:27:00 MET 2003 -->
|
||||
<!-- hhmts start -->
|
||||
Last modified: Wed May 28 10:50:23 MEST 2003
|
||||
Last modified: Tue Jun 3 10:59:20 MEST 2003
|
||||
<!-- hhmts end -->
|
||||
</body>
|
||||
</html>
|
||||
|
|
|
|||
Loading…
Reference in New Issue