bmesh_curvature.C File Reference

Contains the implementation of the curvature computation classes for the BMESH class. More...

#include <iostream>
#include <vector>
#include <algorithm>
#include <cmath>
#include "mlib/points.H"
#include "mlib/linear_sys.H"
#include "mesh/bvert.H"
#include "mesh/bface.H"
#include "mesh/bmesh.H"
#include "mesh/bmesh_curvature.H"

Include dependency graph for bmesh_curvature.C:

Go to the source code of this file.

Functions
void	rot_coord_sys (const Wvec &old_u, const Wvec &old_v, const Wvec &new_norm, Wvec &new_u, Wvec &new_v)
	Rotate a coordinate system to be perpendicular to the given normal.
void	proj_curv (const Wvec &old_u, const Wvec &old_v, double old_ku, double old_kuv, double old_kv, const Wvec &new_u, const Wvec &new_v, double &new_ku, double &new_kuv, double &new_kv)
	Reproject a curvature tensor from the basis spanned by old_u and old_v (which are assumed to be unit-length and perpendicular) to the new_u, new_v basis.
void	proj_dcurv (const Wvec &old_u, const Wvec &old_v, const BMESHcurvature_data::dcurv_tensor_t &old_dcurv, const Wvec &new_u, const Wvec &new_v, BMESHcurvature_data::dcurv_tensor_t &new_dcurv)
	Like proj_curv(), but for the derivative of curvature.
void	diagonalize_curv (const Wvec &old_u, const Wvec &old_v, double ku, double kuv, double kv, const Wvec &new_norm, Wvec &pdir1, Wvec &pdir2, double &k1, double &k2)
	Given a curvature tensor, find principal directions and curvatures.
void	compute_edge_vectors (const BMESH *mesh, int face_idx, Wvec edges[3])
void	compute_ntb_coord_sys (const Wvec edges[3], Wvec &n, Wvec &t, Wvec &b)
void	compute_initial_vertex_coord_sys (const BMESH *mesh, vector< Wvec > &pdir1, vector< Wvec > &pdir2)

---

Detailed Description

Contains the implementation of the curvature computation classes for the BMESH class.

Note:

This code is taken almost verbatim from the TriMesh2 library written by Szymon Rusinkiewicz of Princeton University (http://www.cs.princeton.edu/gfx/proj/trimesh2/).

Definition in file bmesh_curvature.C.

---

Function Documentation

void compute_edge_vectors (  const BMESH *  mesh, int  face_idx, Wvec  edges[3] )  [inline]

Definition at line 648 of file bmesh_curvature.C. References BMESH::bf(), Bvert::loc(), Bface::v1(), Bface::v2(), and Bface::v3(). Referenced by BMESHcurvature_data::compute_corner_areas(), BMESHcurvature_data::compute_face_curvatures(), BMESHcurvature_data::compute_face_dcurv(), BMESHcurvature_data::compute_vertex_curvatures(), and BMESHcurvature_data::compute_vertex_dcurv().

void compute_initial_vertex_coord_sys (  const BMESH *  mesh, vector< Wvec > &  pdir1, vector< Wvec > &  pdir2 )  [inline]

Definition at line 672 of file bmesh_curvature.C. References BMESH::bf(), BMESH::bv(), mlib::cross(), Bvert::index(), Bvert::loc(), BMESH::nfaces(), Bvert::norm(), mlib::Vec4::normalized(), BMESH::nverts(), Bface::v1(), Bface::v2(), and Bface::v3(). Referenced by BMESHcurvature_data::compute_vertex_curvatures(), and BMESHcurvature_data::diagonalize_vertex_curvatures().

void compute_ntb_coord_sys (  const Wvec  edges[3], Wvec &  n, Wvec &  t, Wvec &  b )  [inline]

Definition at line 660 of file bmesh_curvature.C. References mlib::cross(), mlib::Vec4::normalized(), and mlib::Vec3< V >::normalized(). Referenced by BMESHcurvature_data::compute_face_curvatures(), BMESHcurvature_data::compute_face_dcurv(), BMESHcurvature_data::compute_vertex_curvatures(), and BMESHcurvature_data::compute_vertex_dcurv().

void diagonalize_curv (  const Wvec &  old_u, const Wvec &  old_v, double  ku, double  kuv, double  kv, const Wvec &  new_norm, Wvec &  pdir1, Wvec &  pdir2, double &  k1, double &  k2 )

Given a curvature tensor, find principal directions and curvatures. Makes sure that pdir1 and pdir2 are perpendicular to normal. Definition at line 615 of file bmesh_curvature.C. References mlib::cross(), rot_coord_sys(), and swap(). Referenced by BMESHcurvature_data::diagonalize_vertex_curvatures().

void proj_curv (  const Wvec &  old_u, const Wvec &  old_v, double  old_ku, double  old_kuv, double  old_kv, const Wvec &  new_u, const Wvec &  new_v, double &  new_ku, double &  new_kuv, double &  new_kv )

Reproject a curvature tensor from the basis spanned by old_u and old_v (which are assumed to be unit-length and perpendicular) to the new_u, new_v basis. Definition at line 553 of file bmesh_curvature.C. References mlib::cross(), and rot_coord_sys(). Referenced by BMESHcurvature_data::compute_face_dcurv(), and BMESHcurvature_data::compute_vertex_curvatures().

void proj_dcurv (  const Wvec &  old_u, const Wvec &  old_v, const BMESHcurvature_data::dcurv_tensor_t &  old_dcurv, const Wvec &  new_u, const Wvec &  new_v, BMESHcurvature_data::dcurv_tensor_t &  new_dcurv )

Like proj_curv(), but for the derivative of curvature. Definition at line 576 of file bmesh_curvature.C. References mlib::cross(), and rot_coord_sys(). Referenced by BMESHcurvature_data::compute_vertex_dcurv().

void rot_coord_sys (  const Wvec &  old_u, const Wvec &  old_v, const Wvec &  new_norm, Wvec &  new_u, Wvec &  new_v )

Rotate a coordinate system to be perpendicular to the given normal. Definition at line 527 of file bmesh_curvature.C. References mlib::cross(). Referenced by diagonalize_curv(), proj_curv(), and proj_dcurv().

---