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Three-dimensional geometric metamorphosis based on harmonic maps

delete1998-10-09
delete67
PRE
AI
T
Takashi Kanai *
H
Hiromasa Suzuki
F
Fumihiko Kimura
DOI：10.1007/s003710050132delete
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Abstract

Abstract

En 中文
Animations with deforming objects are frequently used in computer graphics applications, Metamorphosis (or morphing) of 3D objects is one of the techniques that realize a shape transformation between two or more existing objects. We present a new algorithm for 3D geometric metamorphosis between two objects based on harmonic mapping. Our algorithm is applicable to arbitrary polyhedra that are homeomorphic to a 3D sphere or a 2D disk. In our algorithm, each of the two 3D objects is first embedded in the circular disk on the plane. This embedded model has the same graph structure as its 3D objects. We can overlap two embedded models and use the correspondence established between the two objects to generate intermediate objects. The user only specifies a boundary loop on an object and a vertex on that boundary to control interpolation.
Keywords:
geometric modeling
metamorphosis
harmonic mapping
correspondence problem

Journal

Visual Computer cover
Visual Computer
IF:
2.9
Papers:
4.6K
Citations:
6.5K

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No organization information available