Free deformation of multiresolution B-splines curves

• Rivera, Luis A ^[1] ; Pinto Carvalho, Paulo Cezar ^[2] ; Velho, Luiz ^[2]
  1. [1] Pontifícia Universidade Católica do Rio de Janeiro

     Pontifícia Universidade Católica do Rio de Janeiro

     Brasil

     
  2. [2] Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina, 110,22460-320, Bio de Janeiro, RJ, Brasil
• Localización: Pesquimat, ISSN-e 1609-8439, ISSN 1560-912X, Vol. 3, Nº. 1, 2000
• Idioma: inglés
• DOI: 10.15381/pes.v3i1.9244
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• Resumen

  • When a point oí the curve is dragged to another position, a local curve segment ís affected, whose size could be determined by propagating the deformation on lower resolution of the curve in multiresolution representation. Therefore, for a given point displacement, different relative local segments can be modífied, by varying local parameters given by a function which simulates a stiffness constant. Using this method, the designer can interactively modify the curve, in a natural manner, by controlling the size of the affected segment, avoiding the use of energy terma for deformation. We have tested our ideas with a prototype system for modeling uniform B-spline curves in multiresolution, using biorthogonal B-spline wavelets.