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Cubic algebraic curves based on geometric constraints

✍ Scribed by Zhang Sanyuan; Bao Hujun; Wei Baogang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
105 KB
Volume
18
Category
Article
ISSN
0167-8396

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✦ Synopsis

Methods for curve modeling with cubic algebraic curves based on geometric constraints are introduced in this paper. A 1-parameter family of cubic curves with four given points as well as two tangent lines at the endpoints is constructed in the first part of the paper. A 1-parameter family and 2-parameter family of cubic curve constructions are presented for interpolating two given endpoints and two given tangent lines as well as two given curvatures at the endpoints in the last part of the paper.

πŸ“œ SIMILAR VOLUMES

On the Construction of Complete Sets of
On the Construction of Complete Sets of Geometric Invariants for Algebraic Curves
✍ Mustafa Unel; William A. Wolovich πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 153 KB

We provide a solution to the important problem of constructing complete independent sets of Euclidean and affine invariants for algebraic curves. We first simplify algebraic curves through polynomial decompositions and then use some classical geometric results to construct functionally independent s