mirror of https://github.com/CGAL/cgal
fix typos and links
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@ -70,12 +70,12 @@ returns a representative \f$ x\f$-monotone curve associated with `e`.
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const X_monotone_curve_2& curve () const;
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/*!
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return an iterator for the first \f$ x\f$-monotone curve associated with `e`.
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returns an iterator for the first \f$ x\f$-monotone curve associated with `e`.
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*/
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Curve_const_iterator curves_begin () const;
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/*!
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return a past-the-end iterator for the \f$ x\f$-monotone curves associated with `e`.
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returns a past-the-end iterator for the \f$ x\f$-monotone curves associated with `e`.
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*/
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Curve_const_iterator curves_end () const;
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@ -75,12 +75,12 @@ returns the number of \f$ x\f$-monotone curves associated with `v`.
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Size number_of_curves () const;
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/*!
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return an iterator for the first \f$ x\f$-monotone curve associated with `v`.
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returns an iterator for the first \f$ x\f$-monotone curve associated with `v`.
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*/
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Curve_const_iterator curves_begin () const;
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/*!
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return a past-the-end iterator for the \f$ x\f$-monotone curves associated with `v`.
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returns a past-the-end iterator for the \f$ x\f$-monotone curves associated with `v`.
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*/
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Curve_const_iterator curves_end () const;
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@ -76,11 +76,11 @@ traversing both diagrams in parallel.
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\section env2_secenv_diag The Envelope Diagram
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The package basically contains two sets of free functions:
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`lower_envelope_x_monotone_2 (begin, end, diag)` (similarly
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`upper_envelope_x_monotone_2()`) construct the envelope diagram
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\link lower_envelope_x_monotone_2() `lower_envelope_x_monotone_2(begin, end, diag)`\endlink
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(similarly `upper_envelope_x_monotone_2()`) construct the envelope diagram
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for a given range of \f$ x\f$-monotone curves, while
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`lower_envelope_2 (begin, end, diag)` (similarly
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`upper_envelope_2()`) construct the envelope diagram for a
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\link lower_envelope_x_monotone_2() `lower_envelope_2(begin, end, diag)`\endlink
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(similarly `upper_envelope_2()`) construct the envelope diagram for a
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range of <I>arbitrary</I> (not necessarily \f$ x\f$-monotone) curves.
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In this section we explain more on the structure of the envelope
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diagram these functions output.
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@ -57,6 +57,7 @@ from the \cgal 3D point, or as a `std::pair<Point_3<K>, Vector_3<K>>`,
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or as a `boost::tuple<..,Point_3<K>, ..., Vector_3<K> >`.
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The following classes described in Chapter \ref chapterProperty_map
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"CGAL and Boost Property Maps"
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provide property maps for the implementations of points with normals
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listed above:
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@ -160,7 +161,7 @@ Point set simplification through grid-based clustering. Removed points are depic
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\section Point_set_processing_3Smoothing Smoothing
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Function `jet_smooth_point_set` smooths the input point set by
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Function `jet_smooth_point_set()` smooths the input point set by
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projecting each point onto a smooth parametric surface patch
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(so-called jet surface) fitted over its `k` nearest neighbors.
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@ -115,7 +115,7 @@ by \f$ x\f$ (resp. \f$ y\f$) are:
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\anchor eqtaylor_along_line
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\f[
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\begin{equation}
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k_1(x) = k_1 + b_0x + \frac{P_1}{2(k_1-k_2)}x^2 +\hot , \quad \quad \quad
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k_1(x) = k_1 + b_0x + \frac{P_1}{2(k_1-k_2)}x^2 + ... , \quad \quad \quad
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P_1= 3b_1^2+(k_1-k_2)(c_0-3k_1^3).
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\end{equation}
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\f]
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@ -123,7 +123,7 @@ P_1= 3b_1^2+(k_1-k_2)(c_0-3k_1^3).
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\anchor eqtaylor_along_red_line
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\f[
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\begin{equation}
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k_2(y) = k_2 + b_3y + \frac{P_2}{2(k_2-k_1)}y^2 +\hot , \quad \quad \quad
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k_2(y) = k_2 + b_3y + \frac{P_2}{2(k_2-k_1)}y^2 + ... , \quad \quad \quad
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P_2= 3b_2^2+(k_2-k_1)(c_4-3k_2^3).
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\end{equation}
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\f]
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@ -3,7 +3,7 @@ namespace CGAL {
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/*!
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\ingroup PkgSnapRounding2
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The first two parameters denote the first and after-the-last iterators
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The first two parameters denote the first and past-the-end iterators
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of the input segments. The third parameter is a reference to a
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container of the output polylines. Since a polyline is composed of a
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sequence of points, a polyline is a container itself. The fifth
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