科研之友
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摘要
We construct polar forms for diverse types of spaces, including trigonometric polynomials, hyperbolic polynomials and special Muntz spaces, by altering the diagonal property of the polar form for homogeneous polynomials. We use this polar form to develop recursive evaluation algorithms and subdivision procedures for the corresponding Bernstein Bezier curves. We also derive identities and properties of these Bernstein bases and Bernstein Bezier curves, including affine invariance, curvilinear precision, end point interpolation, a degree elevation formula, a differentiation formula, a Marsden identity, a convex hull property, total positivity, and the variation diminishing property.
- 出版日期2015-4
