Work

Envelopes of Bisection Lines of Polygons

Year: 2024

Type: article

Abstract: A bisection line divides a convex planar curve into two parts with equal areas. It is natural to study the envelope of these lines, which in general present singularities. The polygonal case is particularly interesting, since there are several different notions of a discrete envelope. In this paper, we study three different notions of discrete envelopes of bisection lines and the connections between them.

Source: International Electronic Journal of Geometry

DOI: 10.36890/iejg.1512613

Authors: Joel Marques Da Silva, Marcos Craizer

Institution: Pontifícia Universidade Católica do Rio de Janeiro

Language: English

Topic: Computational Geometry and Mesh Generation

Subfield: Computer Graphics and Computer-Aided Design

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro

OpenAlex ID: W4402631904

FWCI:

Cites: 7

Cited by: 1

Related to: 10