A GENERAL FRAMEWORK FOR IMPLICIT MODELING
Date
2002-03-15
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Abstract
A new implicit modeling method is introduced which represents a
complex object as a hierarchy of implicit surfaces, in which each level is
constrained by its parent. The method can be used in a variety of applications
in modeling and animation. Novel aspects of the method are its ability to
progressively refine the model, to create complex implicit objects through the
composition of blending, controlled blending, CSG Boolean operations, and
precise contact modeling, and to change the overall shape of the model while
maintaining the integrity of the object. Most implicit modeling techniques
build models that are collections of globally defined primitives or hierarchies
in which each level is unconstrained by its parent. Our method builds a
hierarchy of implicit surfaces progressively as new local details are
introduced. As in H-Splines, local details are added to constrained areas and
maintained during large scale shape changes. The method is well suited for
both interactive and procedural implicit modeling. In addition, we describe a
new methodology for the composition of implicit surfaces. We illustrate the
intuitiveness and effectiveness of the new method in a number of examples of
biological and engineering modeling and animation.
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Computer Science