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CAGD
2007
13 years 5 months ago
2007
All normalized totally positive bases satisfy the progressive iterative approximation property. The normalized B-basis has optimal shape preserving properties and we prove that it...
CAGD
2007
13 years 5 months ago
2007
Energies of curves and surfaces together with their discrete variants play a prominent role as fairness functionals in geometric modeling and computer aided geometric design. This ...
CAGD
2007
13 years 5 months ago
2007
For planar spline curves and bivariate box-spline functions, the cone of normals of a polynomial spline piece is enclosed by the cone of normals of its spline control polyhedron. ...
CAGD
2007
13 years 5 months ago
2007
In this paper, geometric interpolation of certain circle-like curves by parametric polynomial curves is studied. It is shown that such an interpolating curve of degree n achieves ...
CAGD
2007
13 years 5 months ago
2007
We present an algorithm which is able to compute all roots of a given univariate polynomial within a given interval. In each step, we use degree reduction to generate a strip boun...