Using tangent balls to find plane sections of natural quadrics
- 1 March 1992
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Computer Graphics and Applications
- Vol. 12 (2) , 68-82
- https://doi.org/10.1109/38.124290
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
This publication has 6 references indexed in Scilit:
- Natural quadrics: Projections and intersectionsIBM Journal of Research and Development, 1989
- Geometric method of intersecting natural quadrics represented in trimmed surface formComputer-Aided Design, 1989
- Analysis of quadric-surface-based solid modelsIEEE Computer Graphics and Applications, 1988
- Precise Implementation of Cad Primitives using Rational Parameterizations of Standard SurfacesPublished by Springer Nature ,1984
- Algebraic methods for intersections of quadric surfaces in GMSOLIDComputer Vision, Graphics, and Image Processing, 1983
- Mathematical models for determining the intersections of quadric surfacesComputer Graphics and Image Processing, 1979