6533b7dbfe1ef96bd12714a9

RESEARCH PRODUCT

Curvilinear constraints for free form deformations on subdivision surfaces

Sandrine LanquetinMarc NeveuRomain Raffin

subject

Surface (mathematics)ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION020101 civil engineering02 engineering and technologyDeformation (meteorology)Topology[INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG]0201 civil engineeringModelling and Simulation0202 electrical engineering electronic engineering information engineeringSubdivision surfaceComputingMilieux_MISCELLANEOUSComputingMethodologies_COMPUTERGRAPHICSMathematicsSubdivisionCurvilinear coordinatesbusiness.industry020207 software engineering[ INFO.INFO-GR ] Computer Science [cs]/Graphics [cs.GR]Object (computer science)[INFO.INFO-GR]Computer Science [cs]/Graphics [cs.GR]Computer Science ApplicationsRange (mathematics)Modeling and Simulation[ INFO.INFO-CG ] Computer Science [cs]/Computational Geometry [cs.CG]Free-form deformationbusiness

description

This paper presents a method to deform a subdivision surface with curvilinear constraints. It combines an intuitive free form deformation with a Loop subdivision algorithm. The main advantage of this method of deformation is that it uses only vertices of an object and satisfies the geometrical constraints provided by the user. It permits us to control the final shape of the deformed object, defining the range (i.e. the impact) of the deformation before applying it. The deformation takes into account the Loop properties to follow the subdivision scheme, allowing the user to fix some curvilinear constraints at the subdivision level he works on and to render the final object at the level he wants to. As the deformation uses an influence area defined by the user, we have implemented an adaptive object subdivision driven by the deformation influence.

10.1016/j.mcm.2009.08.002http://dx.doi.org/10.1016/j.mcm.2009.08.002