Subdivision algorithms for the generation of box spline surfaces
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Volume reconstruction based on the six-direction cubic box-spline
2023, Graphical ModelsCitation Excerpt :While splines generated by a B-spline can be efficiently evaluated via successive affine combination from coefficients using the de Boor algorithm, no algorithm exists for those generated by box-splines. For box-spline evaluation, a subdivision technique [11], which is not exact, and recursive techniques [12,13], which are too slow, have been proposed. Other families of evaluation techniques are based on Bernstein–Bézier (BB) forms to which each polynomial piece is converted.
B-spline scale-space of spline curves and surfaces
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2006, Studies in Computational MathematicsChapter 2 Multiresolution approximation
2003, Studies in Mathematics and its ApplicationsQuasi 4-8 subdivision
2001, Computer Aided Geometric DesignWavelet methods in numerical analysis
2000, Handbook of Numerical Analysis
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