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Modeling with rational biquadratic splines
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DOI：10.1016/j.cad.2011.08.024.png)
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We develop a rational biquadratic G(1) analogue of the non-uniform C(1) B-spline paradigm. These G(1) splines can exactly reproduce parts of multiple basic shapes, such as cyclides and quadrics, and combine them into one smoothly-connected structure. This enables a design process that starts with basic shapes, re-represents them in spline form and uses the spline form to provide shape handles for localized free-form modification that can preserve, in the large, the initial fair, basic shapes. (C) 2011 Elsevier Ltd. All rights reserved.
Keyword:
Rational spline
Geometric continuity
Quadratic
Reproduction
Cyclide
Quadric
Surface of revolution
Free-form
Design
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