Calculation of Velocity on an Implicit Surface by Curvature Invariance

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Abstract

This paper presents an accurate method for computing the surface velocity which is used to advect the vertex in mesh-based surface tracking. We propose a curvature invariance condition that accurately captures the movement of a surface, especially in the case of rotating objects. The method uses the least-squares method and mesh fairing to solve the problem that the surface velocity would not be calculated when the implicit function defining the surface does not change. We show that the method works well in scenes including rotation and deformation.This paper presents an accurate method for computing the surface velocity which is used to advect the vertex in mesh-based surface tracking. We propose a curvature invariance condition that accurately captures the movement of a surface, especially in the case of rotating objects. The method uses the least-squares method and mesh fairing to solve the problem that the surface velocity would not be calculated when the implicit function defining the surface does not change. We show that the method works well in scenes including rotation and deformation.

This paper presents an accurate method for computing the surface velocity which is used to advect the vertex in mesh-based surface tracking. We propose a curvature invariance condition that accurately captures the movement of a surface, especially in the case of rotating objects. The method uses the least-squares method and mesh fairing to solve the problem that the surface velocity would not be calculated when the implicit function defining the surface does not change. We show that the method works well in scenes including rotation and deformation.

Journal

  • Journal of information processing

    Journal of information processing 21(4), 674-680, 2013-10-15

    Information Processing Society of Japan

Codes

  • NII Article ID (NAID)
    130003384881
  • NII NACSIS-CAT ID (NCID)
    AA00700121
  • Text Lang
    ENG
  • Article Type
    Article
  • ISSN
    1882-6652
  • Data Source
    J-STAGE  IPSJ 
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