Recovery of 3D Shape Based on Generalized Symmetry
Toshimitsu Tanaka, Seiichiro Naito, Tokiichiro Takahashi, Isao Masuda · Systems and Computers in Japan · 1989
Abstract With the widening range of applications of computer graphics, simple methods of feeding graphic information into computers which matches the human senses are demanded. This paper proposes a method of reconstructing a 3D (three‐dimensional) shape from a line drawing by using generalized symmetry. Generalized symmetry is an extended concept of skewed symmetry and represents the synmetrical characteristics of an object in terms of its curvilinear symmetrical axes. First, this paper defines generalized symmetry and describes its property; then it describes an algorithm which reconstructs the 30 shape of an object satisfying the generalized symmetry from an orthographically projected image of the object and such additional information as auxiliary lines. This algorithm produces a description of a 3D shape by using a line drawing and a small amount of additional information. This paper also demonstrates a computer simulation of the reconstruction of a complex 3D shape (such as one described by the generalized cylinder) drawn by using a data tablet.