Conference Paper

Comparison of finite difference and B-spline deformable models in characterization of 3D data

Book Series cp
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
  • Volumen: 7931 LNCS
  • Número: PART 2
  • Fecha: 23 October 2013
  • Páginas: 230-240
  • ISSN: 03029743 16113349
  • ISBN: 9783642386213
  • Source Type: Book Series
  • DOI: 10.1007/978-3-642-38622-0_24
  • Document Type: Conference Paper
This paper shows a new matrix formulation for three-dimensional deformable models. The matrix formulation is developed in the spatial domain for the cases of B-spline and finite difference shape function. Then, the spatial equations are translated into the frequency domain by means of the discrete Fourier transform. Once the iterative algorithm of the multidimensional deformable models is arranged, a comparison between B-spline and finite differences deformable models is performed. As expected, results confirm the robustness of B-splines in noisy environments whereas finite differences shows a sharper and faster behaviour. © 2013 Springer-Verlag.

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