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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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References

  • Agin G and Binford T (1976) Representation and recognition of curved objects. IEEE Trans Comput C-25:439–449

    Google Scholar 

  • Barr A (1984) Global and local deformations of solid primitives. Comput Graph ACM SIGGRAPH 18(3):21–30

    Google Scholar 

  • Kanade T (1980) Recovery of the 3-dimensional shape of an object from a single view. Artif Intell 17:409–460

    Google Scholar 

  • Oppenheimer P (1986) Real time design and animation of fractal plants and trees. Comput Graph ACM SIGGRAPH 20(4):55–64

    Google Scholar 

  • Pentland A (1986) Perceptual organization and the representation of natural form. Artif Intell 28(3):293–331

    Google Scholar 

  • Reeves W (1983) Particle system — a technique for modelling a class of fuzzy object. Comput Graph ACM SIGGRAPH 17(3):359–376

    Google Scholar 

  • Sederberg T (1986) Free-form deformation of solid geometric models. Comput Graph ACM SIGGRAPH 20(4):151–160

    Google Scholar 

  • Shani U (1984) Spline as embeddings for generalized cylinders. Computer Vision, Graphics, and Image Processing 27:129–156

    Google Scholar 

  • Smith A (1984) Plants, fractals, and formal languages. Comput Graph ACM SIGGRAPH 18(3):1–10

    Google Scholar 

  • Woodward C (1987) B2-splines. In: Kunii TL (ed) Computer Graphics 1987. Springer, Tokyo Berlin Heidelberg New York, pp 197–206

    Google Scholar 

Download references

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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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