Interactive shape design using volumetric implicit PDEs
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
A shape design system using volumetric implicit PDEs
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
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In this paper we present a novel, interactive shapemodeling technique: Dynamic Implicit Solid Modeling,which unifies volumetric implicit functions and powerfulphysics-based modeling.Although implicit functions areextremely powerful in graphics, geometric design, andshape modeling, the full potential of implicit functions isyet to be fully realized due to the lack of flexible andinteractive design techniques.In order to broaden theaccessibility of implicit functions in geometric modeling,we marry the implicit solids, which are semi-algebraic setsof volumetric implicit functions, with the principle ofphysics-based models and formulate dynamic implicitsolids.By using "density springs "to connect the scalarvalues of implicit functions, we offer a viable solution tointro duce the elasticity into implicit representations.As aresult, our dynamic implicit solids respond to sculptingforces in a natural and predictive manner.The geometricand physical behaviors are tightly coupled in ourmodeling system.The flexibility four modeling techniqueallows users to easily modify the geometry and topology ofsculpted objects, while the inherent physical propertiescan provide a natural interface for direct, force-basedfree-from deformation.The additional constraints provideusers more control on the dynamic implicit solids.Wehave developed a sculpting system equipped with a largevariety of physics-based toolkits and an intuitive hapticinterface to facilitate the direct, natural editing of implicitfunctions in real-time.Our experiments demonstrate manyattractive advantages four dynamic approach forimplicit modeling such as intuitive control, directmanipulation, real-time haptic feedback, and capability tomodel complicated geometry and arbitrary topology.