Reconstructing multi-scale variational partition of unity implicit surfaces with attributes
Graphical Models - Special issue on SMI 2004
A programmable particle system framework for shape modeling
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Technical Section: Progressive refinement rendering of implicit surfaces
Computers and Graphics
Sketching Variational Hermite-RBF implicits
Proceedings of the Seventh Sketch-Based Interfaces and Modeling Symposium
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In 1994, Witkin and Heckbert developed a method forinteractively modeling implicit surfaces by simultaneouslyconstaining a particle system to lie on an implicit surfaceand vice-versa.This interface was demonstrated to be effective and easy to use on example models containing afew blobby spheres and cylinders.This system becomesmuch more difficult to implement and operate on more complex implicit models.The derivatives needed for the particle system behavior can become laborious and error-prone when implemented for more complex models. We have developed, implemented and tested techniques for automatic and numerical differentiation of the implicit surface function.Complex modelsalso require a large number of parameters, and the managementand control of these parameters is often not intuitive.We have developed adapters, which are special shape-transformation operators that automatically adjust the underlying parameters to yield thesame effect as the transformation.These new techniquesallow constrained particle systems to sample and controlmore complex models than before possible.