Geometry and asymptotics of wavefronts
The authors develop a numerically-analytical approach to finding pseudovertices of a curve, computation of the measure of nonconvexity of a plane set, and constructing front sets on the basis of these data. Also, they study the relation between nonsmoothness of wavefronts and singularity of the geometry of the initial set. The paper is divided into five sections as follows: 1. The bisector and pseudovertices of a set; 2. Conditions for existence of pseudovertices; 3. Computing points of the bisector; 4. Asymptotics of bisector; 5. Numerical constructing of wavefronts.
scientific article; zbMATH DE number 5533459