2008
DOI: 10.1007/978-3-540-69387-1_13
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Particle Swarm Optimization for Bézier Surface Reconstruction

Abstract: Abstract. This work concerns the issue of surface reconstruction, that is, the generation of a surface from a given cloud of data points. Our approach is based on a metaheuristic algorithm, the so-called Particle Swarm Optimization. The paper describes its application to the case of Bézier surface reconstruction, for which the problem of obtaining a suitable parameterization of the data points has to be properly addressed. A simple but illustrative example is used to discuss the performance of the proposed met… Show more

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Cited by 37 publications
(13 citation statements)
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“…Genetic algorithms have been applied to this problem in both the discrete version (Sarfraz and Raza 2001) and the continuous version Yoshimoto et al 2003). Other metaheuristic approaches applied to this problem include the use of the popular particle swarm optimization technique (Gálvez et al 2008;Iglesias 2011, 2012), artificial immune systems (Gálvez et al 2013Gálvez and Iglesias 2016), firefly algorithm (Gálvez and Iglesias 2013b, c), estimation of distribution algorithms (Zhao et al 2011), memetic algorithms , and hybrid techniques (Gálvez and Iglesias 2013a), (Sarfraz and Raza 2001).…”
Section: Previous Workmentioning
confidence: 99%
“…Genetic algorithms have been applied to this problem in both the discrete version (Sarfraz and Raza 2001) and the continuous version Yoshimoto et al 2003). Other metaheuristic approaches applied to this problem include the use of the popular particle swarm optimization technique (Gálvez et al 2008;Iglesias 2011, 2012), artificial immune systems (Gálvez et al 2013Gálvez and Iglesias 2016), firefly algorithm (Gálvez and Iglesias 2013b, c), estimation of distribution algorithms (Zhao et al 2011), memetic algorithms , and hybrid techniques (Gálvez and Iglesias 2013a), (Sarfraz and Raza 2001).…”
Section: Previous Workmentioning
confidence: 99%
“…Applications to this domain include the EA in [33,34], where genetic algorithms were introduced to computer graphics. Later on, other evolutionary algorithms were also applied [14,2], while the most recent studies include also genetic algorithms [18] for polynomial Bspline surface reconstruction, particle swarm optimization [16] for the same problem and particle swarm optimization for Bézier surface reconstruction [15]. For example, Gálvez and Iglesias [17] applied the firefly algorithm [10,11] for polynomial Bézier surface parameterization, which is a well known problem in computer graphics.…”
Section: Introductionmentioning
confidence: 98%
“…Galvez et al [4] use PSO to perform surface fitting with a Bezier surface to a given cloud of data points. Delint et al [1] use PSO for curve fitting using NURBS.…”
Section: Introductionmentioning
confidence: 99%