Re: Calculating principal radii of curvature ?



--

"broli" <Broli00@xxxxxxxxx> wrote in message
news:41db9035-0bc0-4d93-8f1b-9843e445284d@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
How to go about doing this for a triangular mesh ? I want to find out
the principal radii of curvature for every triangular surface. I have
the following information -

1. Vertex coordinates v0, v1, v2.
2. Triangle normal.
3. Every vertex stores a list of all triangles that share it.
4. Normal at every vertex.
5. Edge list which stores the vertex end points, triangle faces shared
by edge.

http://www.geometrictools.com/LibFoundation/Meshes/Meshes.html
See the section "Estimate principal curvatures at the vertices of a
triangle mesh".

--
Dave Eberly
http://www.geometrictools.com


.



Relevant Pages

  • Re: Calculating principal radii of curvature ?
    ... The principal curvatures at any triangle ... (positions, normals, principal curvatures, principal directions). ... You could treat the ray-triangle intersection as another vertex ... Is it possible to use the principal radii of curvature at the vertices ...
    (comp.graphics.algorithms)
  • Re: Need help with method of least squares
    ... I take reciprocals to find out the two principal radii of curvature ... the triangle edges. ... than unknowns then such a surface does not usually exist. ...
    (sci.math)
  • Re: General Relativity toppling triangle paradox
    ... occurred to me while trying to understand the curvature of space. ... components imply that the vertical plane has negative curvature. ... equilateral triangle would actually be less that 60 degrees, ... So each of its angles would be greater than 60 degrees - ...
    (sci.physics.relativity)
  • General Relativity toppling triangle paradox
    ... occurred to me while trying to understand the curvature of space. ... I mean massive enough for General Relativity ... components imply that the vertical plane has negative curvature. ... equilateral triangle would actually be less that 60 degrees, ...
    (sci.physics.relativity)
  • Re: General Relativity toppling triangle paradox
    ... occurred to me while trying to understand the curvature of space. ... components imply that the vertical plane has negative curvature. ... equilateral triangle would actually be less that 60 degrees, ... So each of its angles would be greater than 60 degrees - ...
    (sci.physics.relativity)