Title :
Using tangent balls to find plane sections of natural quadrics
Author :
Miller, James R. ; Goldman, Ronald N.
Author_Institution :
Dept. of Comput. Sci., Kansas Univ., Lawrence, KS, USA
fDate :
3/1/1992 12:00:00 AM
Abstract :
Geometric constructions for computing plane sections of the natural quadric surfaces that operate on planes and natural quadrics in general position and orientation are developed. The procedures separate geometric descriptions of the resulting conic sections. The algorithms are extremely fast, numerically robust, and do not employ coordinate system transformations of any sort.<>
Keywords :
computational geometry; computer graphics; computer graphics; conic sections; geometric constructions; geometric descriptions; natural quadrics; plane sections; system transformations; tangent balls; Computational geometry; Computer aided manufacturing; Design automation; Design engineering; Equations; Polynomials; Robustness; Solid modeling; Systems engineering and theory; Virtual manufacturing;
Journal_Title :
Computer Graphics and Applications, IEEE