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ACM Transactions on Graphics (TOG) - Special issue on interactive sculpting, Volume 13 Issue 2, April 1994

Dynamic NURBS with geometric constraints for interactive sculpting
Demetri Terzopoulos, Hong Qin
Pages: 103-136
DOI: 10.1145/176579.176580
This article develops a dynamic generalization of the nonuniform rational B-spline (NURBS) model. NURBS have become a defacto standard in commercial modeling systems because of their power to represent free-form shapes as well as common analytic...

Simple constrained deformations for geometric modeling and interactive design
Paul Borrel, Ari Rappoport
Pages: 137-155
DOI: 10.1145/176579.176581
Deformations are a powerful tool for shape modeling and design. We present a new model for producing controlled spatial deformations, which we term Simple Constrained Deformations (Scodef). The user defines a set of constraint...

Interactive design of smooth objects with probabilistic point constraints
Ari Rappoport, Yaacov Hel-Or, Michael Werman
Pages: 156-176
DOI: 10.1145/176579.176582
Point displacement constraints constitute an attractive technique for interactive design of smooth curves, surfaces, and volumes. The user defines an arbitrary number of “control points” on the object and specifies their desired...

Multiresolution stochastic hybrid shape models with fractal priors
B. C. Vemuri, A. Radisavljevic
Pages: 177-207
DOI: 10.1145/176579.176583
3D shape modeling has received enormous attention in computer graphics and computer vision over the past decade. Several shape modeling techniques have been proposed in literature, some are local (distributed parameter) while others are global...