Geometry and asymptotics of wavefronts
type: Item
instance of: scholarly article
title: Geometry and asymptotics of wavefronts
zbMATH Open document ID: 1171.53006
DOI: 10.3103/S1066369X08030031
author: J. Martínez
published in: Russian Mathematics
publication date: 2009-03-26T00:00:00Z
review text: 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.
reviewed by: Dorin Andrica
Mathematics Subject Classification ID: 53A05
Mathematics Subject Classification ID: 52A10
zbMATH DE Number: 5533459
zbMATH Keywords: bisector of a set
zbMATH Keywords: symmetric points
zbMATH Keywords: normally symmetric points
zbMATH Keywords: pseudovertices
zbMATH Keywords: wavefront set
zbMATH Keywords: measure of nonconvexity
MaRDI profile type: Publication
cites work: Q5595759
cites work: Q3317773
cites work: Q5428614
description: scientific article; zbMATH DE number 5533459