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Proximity.h
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// Copyright Contributors to the OpenVDB Project
// SPDX-License-Identifier: MPL-2.0
#ifndef OPENVDB_MATH_PROXIMITY_HAS_BEEN_INCLUDED
#define OPENVDB_MATH_PROXIMITY_HAS_BEEN_INCLUDED
#include <openvdb/Types.h>
namespace openvdb {
OPENVDB_USE_VERSION_NAMESPACE
namespace OPENVDB_VERSION_NAME {
namespace math {
/// @brief Closest Point on Triangle to Point. Given a triangle @c abc and a point @c p,
/// return the point on @c abc closest to @c p and the corresponding barycentric coordinates.
///
/// @details Algorithms from "Real-Time Collision Detection" pg 136 to 142 by Christer Ericson.
/// The closest point is obtained by first determining which of the triangles'
/// Voronoi feature regions @c p is in and then computing the orthogonal projection
/// of @c p onto the corresponding feature.
///
/// @param a The triangle's first vertex point.
/// @param b The triangle's second vertex point.
/// @param c The triangle's third vertex point.
/// @param p Point to compute the closest point on @c abc for.
/// @param uvw Barycentric coordinates, computed and returned.
OPENVDB_API Vec3d
closestPointOnTriangleToPoint(
const Vec3d& a, const Vec3d& b, const Vec3d& c, const Vec3d& p, Vec3d& uvw);
/// @brief Closest Point on Line Segment to Point. Given segment @c ab and point @c p,
/// return the point on @c ab closest to @c p and @c t the parametric distance to @c b.
///
/// @param a The segment's first vertex point.
/// @param b The segment's second vertex point.
/// @param p Point to compute the closest point on @c ab for.
/// @param t Parametric distance to @c b.
OPENVDB_API Vec3d
closestPointOnSegmentToPoint(
const Vec3d& a, const Vec3d& b, const Vec3d& p, double& t);
} // namespace math
} // namespace OPENVDB_VERSION_NAME
} // namespace openvdb
#endif // OPENVDB_TOOLS_MESH_TO_VOLUME_UTIL_HAS_BEEN_INCLUDED
OPENVDB_API
#define OPENVDB_API
Definition Platform.h:251
openvdb::v10_0::math::closestPointOnSegmentToPoint
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 ...
openvdb::v10_0::math::Vec3d
Vec3< double > Vec3d
Definition Vec3.h:664
openvdb::v10_0::math::closestPointOnTriangleToPoint
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...
openvdb
Definition Exceptions.h:13
Types.h
OPENVDB_VERSION_NAME
#define OPENVDB_VERSION_NAME
The version namespace name for this library version.
Definition version.h.in:121
OPENVDB_USE_VERSION_NAMESPACE
#define OPENVDB_USE_VERSION_NAMESPACE
Definition version.h.in:212