A tensor optimization algorithm for Bézier Shape Deformation
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Other documents of the author: Hilario Pérez, Lucia; Falco, Antonio; Montes Sánchez, Nicolás; Mora, Marta Covadonga
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comunitat-uji-handle2:10234/7035
comunitat-uji-handle3:10234/8617
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Title
A tensor optimization algorithm for Bézier Shape DeformationDate
2015-01Publisher
ElsevierBibliographic citation
HILARIO, L., et al. A tensor optimization algorithm for Bézier Shape Deformation. Journal of Computational and Applied Mathematics, 2016, vol. 291, p. 264-280.Type
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S0377042715001053Subject
Abstract
In this paper we propose a tensor based description of the Bézier Shape Deformation (BSD) algorithm, denoted as T-BSD. The BSD algorithm is a well-known technique, based on the deformation of a Bézier curve through a ... [+]
In this paper we propose a tensor based description of the Bézier Shape Deformation (BSD) algorithm, denoted as T-BSD. The BSD algorithm is a well-known technique, based on the deformation of a Bézier curve through a field of vectors. A critical point in the use of real-time applications is the cost in computational time. Recently, the use of tensors in numerical methods has been increasing because they drastically reduce computational costs. Our formulation based in tensors T-BSD provides an efficient reformulation of the BSD algorithm. More precisely, the evolution of the execution time with respect to the number of curves of the BSD algorithm is an exponentially increasing curve. As the numerical experiments show, the T-BSD algorithm transforms this evolution into a linear one. This fact allows to compute the deformation of a Bézier with a much lower computational cost. [-]
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Journal of Computational and Applied Mathematics Vo. 291, January 2016Rights
Copyright © 2015 Elsevier B.V. All rights reserved.
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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