Method and apparatus for generating a free-form surface

Details Method and apparatus for generating a free-form surface Method and apparatus for generating a free-form surface

1992-10-23

1995-10-17

Herndon, Heather R.

395142, G06T 1720

Patent

active

054598214

ABSTRACT:
A method for generating a multisided patch in which the expression form of each boundary curve and topology of the curve network can freely be set, curve formulae can be simply input, and high continuity. By inputting data of boundary curves to multisided patch generator via editing means which generates and edits curves, and blending sweep surfaces in two stages, a free-form surface is generated as a surface interpolating them. That is, data of a plurality of boundary curves is inputted to multisided patch generator, each given curve is swept by sweeping means along the curves intersecting it to generate surfaces, and the surfaces are blended by blending means in two stages, thereby generating a free-form surface. Since the surface formulae can be defined on the basis of the curve formulae of the boundaries, topology of the curve network and the descriptive form of each curve can freely be set, so that the boundary curve formulae of a multisided patch can be simply input by directly drawing the curve shapes on defined two-dimensional planes. In addition, geometric continuity of the generated surface is high because continuity of the given curves is high.

REFERENCES:
A Multisided Generalization of Bezier Surfaces, C. T. Loop and T. D. Rose, Univ. of Wash., ACM Transactions on Graphics, vol. 8, No. 3, Jul. 1989, pp. 204-234.
Curvature Continuous Triangular Interpolants, H. Hagen & H. Pottman, Math. Methods in Computer Aided Geom. Design, 1989, pp. 373-384.
Sweep Surfaces Modelling Via Coordinate Transformations and Blending, K. Choi and C. Lee, Korean Adv. Inst. of Science, vol. 22, #2, Mar. 1990, pp. 87-96.

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