Using particles to sample and control implicit surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Algorithm 755: ADOL-C: a package for the automatic differentiation of algorithms written in C/C++
ACM Transactions on Mathematical Software (TOMS)
The design and implementation of an object-oriented toolkit for 3D graphics and visualization
Proceedings of the 7th conference on Visualization '96
Guaranteeing the topology of an implicit surface polygonization for interactive modeling
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
ADIC: an extensible automatic differentiation tool for ANSI-C
Software—Practice & Experience
The visualization toolkit (2nd ed.): an object-oriented approach to 3D graphics
The visualization toolkit (2nd ed.): an object-oriented approach to 3D graphics
Shape transformation using variational implicit functions
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
Global and local deformations of solid primitives
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Implicit modeling of swept surfaces and volumes
VIS '94 Proceedings of the conference on Visualization '94
Curvature-aware adaptive re-sampling for point-sampled geometry
Computer-Aided Design
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In 1994, Witkin and Heckbert developed a method for interactively modeling implicit surfaces by simultaneously constaining a particle system to lie on an implicit surface and vice-versa. This interface was demonstrated to be effective and easy to use on example models containing a few blobby spheres and cylinders. This system becomes much 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 models also require a large number of parameters, and the management and 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 the same effect as the transformation. These new techniques allow constrained particle systems to sample and control more complex models than before possible.