Abstract
A method to deform non-planar parametric surfaces based on B-splines is presented. To develop this method, an energy functional and its variational formulation are introduced. The deformation of the non-planar surface is made moving the control points of the surface. In order to do that, the space will be discretized and a ordinary differential equation has to be solved. To do it, an analytical solution will be used taking into account the features of B-splines as a finite elements. Our method will be fast because only a reduced number of control points will be moved instead of all the surface points. So, our method can be used to make simulations.
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González-Hidalgo, M., Jaume-i-Capó, A., Mir, A., Nicolau-Bestard, G. (2010). Analytical Simulation of Non-planar B-Spline Surfaces Deformation. In: Perales, F.J., Fisher, R.B. (eds) Articulated Motion and Deformable Objects. AMDO 2010. Lecture Notes in Computer Science, vol 6169. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14061-7_21
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DOI: https://doi.org/10.1007/978-3-642-14061-7_21
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