Method and apparatus for generating fillet surface between two s

Details Method and apparatus for generating fillet surface between two s Method and apparatus for generating fillet surface between two s

1991-12-19

1994-09-06

Herndon, Heather R.

Boots, shoes, and leggings

395119, 395120, 395155, 395161, 395141, 36447424, G06F 1562

Patent

active

053455460

ABSTRACT:
A 3-dimensional (3-D) Computer Aided Design (CAD) System generates a fillet surface which smoothly connects two surfaces to each other. This is accomplished by sliding a circle on a normal plane of a user-designated spine curve which is in contact with two surfaces. Then, the fillet surface is approximated by Gregory patches which are generated from trajectories of two tangent points between the circle and the two surfaces. The fillet surface thus expressed by the Gregory patches is easily and efficiently processed in computers such as those in 3D CAD systems. Because the fillet surface is generated along the spine curve, various fillet surfaces, including that generated by the conventional rolling-ball blending method, can be generated to satisfy various needs of designers of 3-D CAD Systems.

REFERENCES:
patent: 5119309 (1992-06-01), Cavendish et al.
Chiyokura et al. (Department of Precision Machinery Engineering, University of Tokyo), "Design of Solids with Free-Form Surfaces", Computer Graphics, vol. 17, No. 3 (1983).
Alyn P. Rockwood et al, "Blending Surfaces in Solid Modeling," Geometric Modeling, 1987, pp. 367-383.
Christoph Hoffman et al, "The Potential Method for Blending Surfaces and Corners", Geometric Modeling, 1987, pp. 347-365.
B. K. Choi et al, "Constant-radius blending in surface modelling", Computer Aided Design, vol. 21, No, 4, 1989, pp. 213-220.
Tamas Varady, "Rolling Ball Blends in Solid Modelling," Computer Applications in Production and Engineering, 1989, pp. 295-308.
M. A. Sanglikar et al, "Modelling rolling ball blends for computer aided geometric design," Computer Aided Geometric Design, 1990, pp. 399-413.

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