A new intersection algorithm for cyclides and swept surfaces using circle decomposition

DOI10.1016/0167-8396(93)90049-9zbMath0767.65004OpenAlexW2066873886WikidataQ126382656 ScholiaQ126382656MaRDI QIDQ1208492

John K. Johnstone

Publication date: 16 May 1993

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-8396(93)90049-9

zbMATH Keywords

quadricsintersection curveringed surfacesDupin-cyclidehigher degree surfaces

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Canal surfaces versus normal ringed surfaces, An algorithm for finding intersection between ball B-spline curves, Role of moving planes and moving spheres following Dupin cyclides, Construction of Bézier rectangles and triangles on the symmetric Dupin horn cyclide by means of inversion, On the parameterization of rational ringed surfaces and rational canal surfaces, Geometry of the ringed surfaces in \(\mathbb{R}^4\) that generate spatial Pythagorean hodographs, Intersection of a ruled surface with a free-form surface, \(G^{n}\)-continuous connections between normal ringed surfaces

Cites Work

• Cyclides in computer aided geometric design
• On cyclides in geometric modeling
• The approximation of non-degenerate offset surfaces
• Tracing surface intersections
• Geometric Hermite interpolation -- in memoriam Josef Hoschek
• A parametric algorithm for drawing pictures of solid objects composed of quadric surfaces
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