Three-dimensional surface display method

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364521, G06F 3153

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048294560

ABSTRACT:
The characteristic curve is moved only along the first control curve, and the resultant curve is subjected to a rotation and a homothetic deformation keeping the similarity, thereby generating an intermediate curve having the ends located on the first and second control curves. A plurality of such intermediate curves can be generated by executing this operation with various values of distances by which the characteristic curve is moved. Data associated with the surface to be generated is obtained from the group of the intermediate curves and is then subjected to a perspective transformation for projecting data onto a desired two-dimensional screen; as a result, the generated data is displayed on a display unit.

REFERENCES:
patent: 4491906 (1985-01-01), Kishi et al.
patent: 4523270 (1985-06-01), Kishi et al.
Computational Techniques for Processing Parametric Surfaces-Kopaikai et al., Comp. Vision, Graphics and Image Processing 28, 303-320, 1984.
Local Invariants and Twist Vectors in Computer Aided Geometric Design Selesnick-CGIP 17, pp. 147-160 (1981).
Discrete B-Splines and Subdivision Techniques in Computer Aided Design and Computer Graphic-Cohen et al. CGIP 14, pp. 87-111 (1980).
Gasson P. C., "Geometry of Spatial Forms" John Wiley & Sons Limited-pp. 483-505-1983.

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