C-curves: An extension of cubic curves

doi:10.1016/0167-8396(95)00022-4

Computer Aided Geometric Design

Volume 13, Issue 3, April 1996, Pages 199-217

https://doi.org/10.1016/0167-8396(95)00022-4 Get rights and content

Abstract

A linearly parametrized set of curves, named C-curves, is suggested with basis sin t, cos t, t, and 1. C-curves are an extension of cubic curves, they depend on a parameter α > 0, and their limiting case for α → 0 is a cubic curve. They can deal with free form curves and surfaces, and provide exact reproduction of circles and cylinders. So, they could be used to unify the representation and processing of both free and normal form curves and surfaces in engineering.

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C-curves: An extension of cubic curves

Abstract

Mathematical and practical possibilities of UNISURF

Computer Aided Geometric Design

Inserting new knots into B-spline curves

Computer-Aided Design

Surfaces for computer aided design of space forms

MIT Project MAC-TR-41