EVOLUÇÃO DE UNIÃO DE BOLAS A PARTIR DO EIXO MEDIAL / EVOLUTION OF UNION OF BALLS FROM ITS MEDIAL AXIS

AUTOR(ES)

CYNTHIA DE OLIVEIRA LAGE FERREIRA

DATA DE PUBLICAÇÃO

2005

RESUMO

The computational study of unions of balls has applications in several domains of the Mathematics. The purpose of this dissertation is to propose a simplification of the union of balls in R2 through a movement that obeys the direction of the medial axis in order to simplify it, maintaining the major geometric elements of its shape. The disconnection of the shape is an essential property of the evolution. In some cases, it could mean an important division of the object. In others, it may be undesirable because we would like to have a simplified version connected of this shape.

ASSUNTO(S)

uniao de bolas medial axis geometria computacional union of balls eixo medial computational geometry

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