Abstract
A new principle of generating three-dimensional shapes from two-dimensional images based on generalized symmetry is presented. Generalized symmetry is an extended concept of symmetry and represents the symmetrical characteristics of an object in terms of its curvilinear symmetry axis. This paper first develops the definition and the constraint of the generalized symmetry, and then describes an algorithm which generates the three-dimensional shape of an object from a line-drawing. This assumes that the line-drawing is an orthographic projection of an object which exhibits generalized symmetry. Several experiments by computer simulation verify that the algorithm can generate three-dimensional shapes from line-drawings.
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© 1988 Springer-Verlag Berlin Heidelberg
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Tanaka, T., Naito, S., Takahashi, T. (1988). Three-Dimensional Shape Generation Based on Generalized Symmetry. In: Magnenat-Thalmann, N., Thalmann, D. (eds) New Trends in Computer Graphics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83492-9_32
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DOI: https://doi.org/10.1007/978-3-642-83492-9_32
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83494-3
Online ISBN: 978-3-642-83492-9
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