P000066R1
The Viro Method for Construction of Real $C^r$ Piecewise Algebraic Hypersurfaces
*赖义生 (浙江工商大学统计与数学学院)
王仁宏 (大连理工大学数学科学学院)
We propose a new method to construction of Real $C^r$ piecewise algebraic hypersurface
with a prescribed topology. The method is based on smooth blending theory and the
Viro method for construction of Bernstein-B$\acute{e}$zier algebraic hypersurface piece on a simplex.