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Elastic Morphing of 2D and 3D Objects on a Shape Manifold

  • C. Samir
  • P. Van Dooren
  • D. Laurent
  • K. A. Gallivan
  • P. -A. Absil
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5627)

Abstract

We present a new method for morphing 2D and 3D objects. In particular we focus on the problem of smooth interpolation on a shape manifold. The proposed method takes advantage of two recent works on 2D and 3D shape analysis to compute elastic geodesics between any two arbitrary shapes and interpolations on a Riemannian manifold. Given a finite set of frames of the same (2D or 3D) object from a video sequence, or different expressions of a 3D face, our goal is to interpolate between the given data in a manner that is smooth. Experimental results are presented to demonstrate the effectiveness of our method.

Keywords

Riemannian Manifold Control Point Euclidean Plane Closed Curf Lagrange Interpolation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • C. Samir
    • 1
  • P. Van Dooren
    • 1
  • D. Laurent
    • 1
  • K. A. Gallivan
    • 2
  • P. -A. Absil
    • 1
  1. 1.Dept of Mathematical EngineeringUniversité catholique de LouvainBelgium
  2. 2.Dept of MathematicsFlorida State UniversityTallahasseeUSA

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