Anzeige
Erschienen in:
2008 | OriginalPaper | Buchkapitel
Analytical Simulation of B-Spline Surfaces Deformation
verfasst von : Manuel González-Hidalgo, Antoni Jaume Capó, Arnau Mir, Gabriel Nicolau-Bestard
Erschienen in: Articulated Motion and Deformable Objects
Verlag: Springer Berlin Heidelberg
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
In this paper an analytic solution of an evolution model is proposed in order to deform B-splines parametric surfaces. The deformation model is based on an associated energy functional to one surface and its variational formulation is introduced. After some simplifications including assumptions regarding the mass and damping matrices and taking into account the properties of B-splines when are used as finite elements, a second order differential equations is obtained which can be solved analytically. The spatial discretization where these finite elements are defined and computed appears as a reduced number of control points and is deformed instead of all the surface points, obtaining an efficient and fast method in order to simulate surface deformations.