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Master's Dissertation
DOI
10.11606/D.45.2016.tde-25072016-184451
Document
Author
Full name
Luís Fernando Schultz Xavier da Silveira
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2016
Supervisor
Committee
Fernandes, Cristina Gomes (President)
Mandel, Arnaldo
Stolfi, Jorge
Title in Portuguese
Algoritmos para união de círculos e polígonos
Keywords in Portuguese
Algoritmos
Círculos
Geometria computacional
Polígonos
Abstract in Portuguese
Este trabalho aborda dois problemas de geometria computacional: união de círculos e união de (vários) polígonos. Para o problema da união de círculos, os principais algoritmos da literatura são revisados e um algoritmo simples, porém ineficiente, é introduzido. Este algoritmo é então adaptado para resolver o problema da união de polígonos, produzindo um algoritmo que é competitivo com o estado da arte e, dependendo da aplicação, utiliza menos armazenamento.
Title in English
Algorithms for the union of circles and polygons
Keywords in English
Algorithms
Circles
Computational geometry
Polygons
Abstract in English
This work deals with two problems from the field of computational geometry: union of circles and union of (many) polygons. For the union of circles problem, the main algorithms in the literature are revised and a simple, albeit inefficient, algorithm is introduced. This algorithm is then adapted to solve the union of polygons problem, resulting in an algorithm that is competitive with the state of the art and, depending on the application, makes use of less storage.
 
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Publishing Date
2016-07-26
 
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