Skip to main content
Article thumbnail
Location of Repository

Curvature Computation for Triangular Meshes based on Local

By 

Abstract

A local parametrization based curvature computation technique for triangular meshes is presented. The computation process starts with interpolating the interested region of the given mesh with a Loop subdivision surface. The interpolation technique guarantees that the resulting surface reflects the local shape of the mesh, including features such as edges and corners; no data simplification is necessary. A blending technique is then applied to vicinities of extra-ordinary vertices to ensure continuity and boundedness of curvature at each extra-ordinary vertex. This blending process does not change the value of the surface at the extra-ordinary points. Curvatures for each given point are subsequently computed based on standard parametrization for Loop surfaces. Advantages of the new technique include that curvature can be computed in any direction for any point of the given mesh and higher accuracy of the computed results due to precise representation obtained by the interpolation process. Test results showing the effectiveness of the new technique are included

Topics: DOI, 10.3722/cadaps.2008.xxx-yyy
Year: 2009
OAI identifier: oai:CiteSeerX.psu:10.1.1.134.4236
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.cs.uky.edu/~cheng/P... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.