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2013 Fiscal Year Final Research Report

Automatic shape matching between two 3-dimensional meshes

Research Project

  • PDF
Project/Area Number 23500133
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Media informatics/Database
Research InstitutionNihon University

Principal Investigator

YOSHIDA Norimasa  日本大学, 生産工学部, 教授 (70277846)

Co-Investigator(Kenkyū-buntansha) SAITO Takafumi  東京農工大学, 大学院・工学研究院, 教授 (60293007)
Project Period (FY) 2011 – 2013
Keywords3次元メッシュ / 自動対応付け / モーフィング
Research Abstract

The aim of this research is to construct an algorithm for automatically finding a correspondence between two 3D meshes. The basic idea is mapping the objet to a 2D rectangular parameter domain and moving each triangle in the parameter domain to find a correspondence. A correspondence is automatically found by minimizing the sum of the differences of squared distances from the sampled points in a triangle to the point of the mesh. We have implemented this algorithm and confirmed that the algorithm works. However, several problems remain, such as how to control the correspondence, etc.

  • Research Products

    (12 results)

All 2014 2013 2012 2011

All Journal Article (7 results) (of which Peer Reviewed: 7 results) Presentation (5 results)

  • [Journal Article] Shape Analysis of Cubic Bézier Curves - Correspondence to Four Primitive Cubics2014

    • Author(s)
      Takafumi Saito, Midori Yamada and Norimasa Yoshida
    • Journal Title

      Computer-Aided Design and Applications

      Volume: Vol. 11 Pages: 568-578

    • Peer Reviewed
  • [Journal Article] Quasi-Log-Aesthetic Curves in Polynomial Bézier Form2013

    • Author(s)
      Norimasa Yoshida, Ryo Fukuda, Toshio Saito and Takafumi Saito
    • Journal Title

      Computer-Aided Design and Applications

      Volume: Vol. 10, No. 6 Pages: 983-993

    • Peer Reviewed
  • [Journal Article] Planar two-point G1 Hermite interpolating log-aesthetic spirals2012

    • Author(s)
      D. S. Meek, T. Saito, D. J. Walton, N. Yoshida
    • Journal Title

      Journal of Computational and Applied Mathematics

      Volume: Volume 236 Pages: 4485-4493

    • Peer Reviewed
  • [Journal Article] The Evolutes of Log-Aesthetic Curves and The Drawable Boundaries of The Curve Segments2012

    • Author(s)
      N. Yoshida, T. Saito
    • Journal Title

      Computer-Aided Design and Applications

      Volume: Volume 9, Number 5 Pages: 721-731

    • Peer Reviewed
  • [Journal Article] Fitting G2 multispiral transition curve joining two straight lines2012

    • Author(s)
      R. Ziatdinov, N. Yoshida, T. Kim
    • Journal Title

      Computer-Aided Design

      Volume: Volume 44 Pages: 591-596

    • Peer Reviewed
  • [Journal Article] Analytic parametric equations of log-aesthetic curves in terms of incomplete gamma functions2012

    • Author(s)
      R. Ziatdinov, N. Yoshida, T. Kim
    • Journal Title

      Computer Aided Geometric Design

      Volume: Volume 29 Pages: 129-140

    • Peer Reviewed
  • [Journal Article] Compound-rhythm Log-aesthetic Space Curve Segments2011

    • Author(s)
      N. Yoshida, R. Fukuda, T. Saito, T. Saito
    • Journal Title

      Computer-Aided Design and Applications

      Volume: Vol. 8, No.2 Pages: 315-324

    • Peer Reviewed
  • [Presentation] Complete Log-Aesthetic Surfaces by Logarithmic Helical Sweep2013

    • Author(s)
      Kenji Shikano, Takafumi Saito, Norimasa Yoshida
    • Organizer
      SIAM Conference on Geometric Design(GD/SPM13)
    • Place of Presentation
      Denver, Colorado, USA
    • Year and Date
      2013-11-12
  • [Presentation] Mass-Spring Simulation Based on the Unconditionally Stable Explicit Method2012

    • Author(s)
      Yuji Fujii, Norimasa Yoshida, Makoto Kanda, Toshio Saito, Mikio Shinya
    • Organizer
      Image Electronics and Visual Computing Workshop
    • Place of Presentation
      Kuching, Malaysia
    • Year and Date
      2012-11-22
  • [Presentation] G1 Hermite interpolation with extended Tschirnhausen cubic spirals2012

    • Author(s)
      T. Saito and N. Yoshida
    • Organizer
      Eighth International Conference on Mathematical Methods for Curves and Surfaces
    • Place of Presentation
      Oslo, Norway
    • Year and Date
      2012-06-30
  • [Presentation] G1 Hermite Interpolation of Bezier Unit Quaternion Integral Curves2012

    • Author(s)
      N. Yoshida, Y. Kobayashi, T. Saito, K. Miura
    • Organizer
      Eighth International Conference on Mathematical Methods for Curves and Surfaces
    • Place of Presentation
      Oslo, Norway
    • Year and Date
      2012-06-29
  • [Presentation] Some characteristics of log-aesthetic planar curves2011

    • Author(s)
      N. Yoshida and T. Saito
    • Organizer
      SIAM Conference on Geometric and Physical Modeling (GD/SPM11)
    • Place of Presentation
      Orlando, Florida, USA
    • Year and Date
      2011-10-24

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Published: 2015-07-16  

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