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Automatic shape matching between two 3-dimensional meshes

Research Project

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
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Keywords3次元メッシュ / 自動対応付け / モーフィング / 3次元ポリゴンモデル
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.

Report

(4 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (19 results)

All 2014 2013 2012 2011

All Journal Article (11 results) (of which Peer Reviewed: 10 results) Presentation (8 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

    • Related Report
      2013 Final Research Report
    • 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

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Quasi-Log-Aesthetic Curves in Polynomial Bezier Form2013

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

      Computer-Aided Design and Applications

      Volume: 10(6) Issue: 6 Pages: 983-993

    • DOI

      10.3722/cadaps.2013.983-993

    • Related Report
      2013 Annual Research Report
    • 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

    • Related Report
      2013 Final Research Report 2012 Research-status Report
    • 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

    • Related Report
      2013 Final Research Report 2012 Research-status Report
    • 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

    • Related Report
      2013 Final Research Report
    • 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

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] 3次パラメトリック曲線の曲率変化の美的解析2012

    • Author(s)
      斎藤隆文,吉田典正
    • Journal Title

      情報処理学会グラフィクスとCAD研究会

      Volume: ,Vol.2012-CG-148, No. 1 Pages: 1-6

    • Related Report
      2012 Research-status Report
  • [Journal Article] The 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: Vol.29, Is. 2 Issue: 2 Pages: 129-140

    • DOI

      10.1016/j.cagd.2011.11.003

    • Related Report
      2011 Research-status Report
    • 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

    • Related Report
      2013 Final Research Report 2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Compound-rhythm Log-aesthetic Space Curve Segments2011

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

      Computer-Aided Design and Applications

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

    • DOI

      10.3722/cadaps.2011.315-324

    • Related Report
      2012 Research-status Report
    • 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
    • Related Report
      2013 Final Research Report
  • [Presentation] Complete Log-Aesthetic Surfaces by Logarithmic Helical Sweep2013

    • Author(s)
      Kenji Shikano, Takafumi Saito and Norimasa Yoshida
    • Organizer
      SIAM Conference on Geometric & Physical Modeling (GDSPM 13)
    • Place of Presentation
      Denver, USA
    • Related Report
      2013 Annual Research Report
  • [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
    • Related Report
      2013 Final Research Report 2012 Research-status Report
  • [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
    • Related Report
      2013 Final Research Report
  • [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
    • Related Report
      2013 Final Research Report
  • [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
    • Related Report
      2013 Final Research Report
  • [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, FL, USA
    • Related Report
      2011 Research-status Report
  • [Presentation] 単位球面上における接線方向の指定による空間曲線の生成2011

    • Author(s)
      小林勇貴,吉田典正,斎藤隆文
    • Organizer
      情報処理学会グラフィクスとCAD研究会
    • Place of Presentation
      筑波大学
    • Related Report
      2011 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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