The Viro Method for Construction of Cr Piecewise Algebraic Hypersurfaces

الملخص EN

We propose a new method to construct a real piecewise algebraic hypersurface of a given degree with a prescribed smoothness and topology.

The method is based on the smooth blending theory and the Viro method for construction of Bernstein-Bézier algebraic hypersurface piece on a simplex.