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Proximity.h
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1 // Copyright Contributors to the OpenVDB Project
2 // SPDX-License-Identifier: MPL-2.0
3 
4 #ifndef OPENVDB_MATH_PROXIMITY_HAS_BEEN_INCLUDED
5 #define OPENVDB_MATH_PROXIMITY_HAS_BEEN_INCLUDED
6 
7 #include <openvdb/Types.h>
8 
9 
10 namespace openvdb {
12 namespace OPENVDB_VERSION_NAME {
13 namespace math {
14 
15 /// @brief Closest Point on Triangle to Point. Given a triangle @c abc and a point @c p,
16 /// return the point on @c abc closest to @c p and the corresponding barycentric coordinates.
17 ///
18 /// @details Algorithms from "Real-Time Collision Detection" pg 136 to 142 by Christer Ericson.
19 /// The closest point is obtained by first determining which of the triangles'
20 /// Voronoi feature regions @c p is in and then computing the orthogonal projection
21 /// of @c p onto the corresponding feature.
22 ///
23 /// @param a The triangle's first vertex point.
24 /// @param b The triangle's second vertex point.
25 /// @param c The triangle's third vertex point.
26 /// @param p Point to compute the closest point on @c abc for.
27 /// @param uvw Barycentric coordinates, computed and returned.
30  const Vec3d& a, const Vec3d& b, const Vec3d& c, const Vec3d& p, Vec3d& uvw);
31 
32 
33 /// @brief Closest Point on Line Segment to Point. Given segment @c ab and point @c p,
34 /// return the point on @c ab closest to @c p and @c t the parametric distance to @c b.
35 ///
36 /// @param a The segment's first vertex point.
37 /// @param b The segment's second vertex point.
38 /// @param p Point to compute the closest point on @c ab for.
39 /// @param t Parametric distance to @c b.
42  const Vec3d& a, const Vec3d& b, const Vec3d& p, double& t);
43 
44 } // namespace math
45 } // namespace OPENVDB_VERSION_NAME
46 } // namespace openvdb
47 
48 #endif // OPENVDB_TOOLS_MESH_TO_VOLUME_UTIL_HAS_BEEN_INCLUDED
GLboolean GLboolean GLboolean GLboolean a
Definition: glcorearb.h:1222
#define OPENVDB_USE_VERSION_NAMESPACE
Definition: version.h:239
OPENVDB_API Vec3d closestPointOnTriangleToPoint(const Vec3d &a, const Vec3d &b, const Vec3d &c, const Vec3d &p, Vec3d &uvw)
Closest Point on Triangle to Point. Given a triangle abc and a point p, return the point on abc close...
#define OPENVDB_API
Definition: Platform.h:280
GLboolean GLboolean GLboolean b
Definition: glcorearb.h:1222
GLdouble t
Definition: glad.h:2397
OPENVDB_API Vec3d closestPointOnSegmentToPoint(const Vec3d &a, const Vec3d &b, const Vec3d &p, double &t)
Closest Point on Line Segment to Point. Given segment ab and point p, return the point on ab closest ...
#define OPENVDB_VERSION_NAME
The version namespace name for this library version.
Definition: version.h:119