Design of developable surfaces using duality between plane and point geometries

作者: R.M.C. Bodduluri , B. Ravani

DOI: 10.1016/0010-4485(93)90017-I

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摘要: Abstract The concept of duality between points and planes in 3D projective space is used to develop a new representation for developable surfaces terms plane geometry. In this manner, surface designed using control with appropriate basis functions. use rational Bezier B-spline bases focused on, technique the geometric design developed that has all characteristics existing methods curve design. It shown some constructions exist curves also generalize surfaces. particular, de Casteljau- Farin-Boehm-type construction algorithms are

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