Surface deformation with differential geometric structures

Authors:
Masahiro Kimura;Takafumi Saito;Mikio Shinya
Affiliations:
NTT Communication Science Laboratories, Seika-cho, Kyoto 619-02, Japan;NTT Human Interface Laboratories, Musashino, Tokyo 180, Japan;NTT Human Interface Laboratories, Musashino, Tokyo 180, Japan
Venue:
Computer Aided Geometric Design
Year:
1996

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Abstract

This paper considers the deformation of a given surface to a surface that smoothly connects to previously designed surfaces while reflecting the overall shape of the initial surface. We introduce deformation energy using a Laplacian-based functional, which is defined by the global differential geometric structures of the initial surface. It is shown that the proposed deformation energy does not depend on representations of the initial surface, and relates to the mean curvature vector, a geometric quantity correlated to overall surface shape, and also has a good computational property. An example is presented to demonstrate the effectiveness of our method.