Constructions of spacelike Bézier Surfaces in theThree-dimensional Minkowski space

摘要

Several applications of Minkowski 3-space in geometric modeling are known. These applications are connected with Minkowski Pythagorean hodograph curves and space-like Bézier curves. Another application of Minkowski 3-space is given in this paper. We study space-like polynomial surfaces which are tensor-product Bézier patches. Examples of such surfaces of low degree are considered.