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Generalized symmetry and its application to 3D shape generation

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Abstract

A new method for easily and rapidly generating three-dimensional shapes from two-dimensional line-drawings is presented. This method is based on the generalized symmetry constraint. Generalized symmetry is an extended concept of threedimensional symmetry and its axis is a 3D smooth curve. This paper first develops the definition and constraint of generalized symmetry, and then describes an algorithm which generates the three-dimensional shape of an object from its linedrawing. The generation algorithm is extended to generate generalized cylindrical objects from line-drawings. Several experiments by computer simulation verify that the algorithm can generate three-dimensional shapes from line-drawings.

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Authors and Affiliations

  1. Visual Media Laboratory, NTT Human Interface Laboratories, 1-2356, Take, Yokosuka-Shi, 238-03, Kanagawa, Japan

    Toshimitsu Tanaka & Tokiichiro Takahashi

  2. Information Science Research Laboratory, NTT Basic Research Laboratories, 3-9-11, Midori-Cho, Musashino-Shi, 180, Tokyo, Japan

    Seiichiro Naito

Authors
  1. Toshimitsu Tanaka
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  2. Seiichiro Naito
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  3. Tokiichiro Takahashi
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Tanaka, T., Naito, S. & Takahashi, T. Generalized symmetry and its application to 3D shape generation. The Visual Computer 5, 83–94 (1989). https://doi.org/10.1007/BF01901484

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  • DOI: https://doi.org/10.1007/BF01901484

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