Pseudoedge: nonintersected parametric quilt modeling of multiply connected objects

Bonner, D. L.; Jakiela, Mark J.; Watanabe, Masayuki; Kishi, Naoto

doi:10.1016/0010-4485(93)90005-9

Cited by 1 publication

(2 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For each node (of sufficient degree), an initial fit of the full basis [1; u; v; (u 2 +v 2 )] for interior nodes 3 . Boundary nodes, which will rarely have enough neighbors for a full fit, are treated specially: the parameterization is constructed so that the two boundary nodes lie on the 6u axis, and the basis functions [1; u; v; 1 2 u 2 ] are used.…”

Section: Local Coordinate Fittingmentioning

confidence: 99%

“…As in Bonner, et al's work with tubular structures [3], these shape control tools may be organized in a variety of ways through the use of deformation hierarchies (note that the deformations are not applied to the surface itself). In our system the resulting collections of shape control tools and character lines serve as "skeletons" supporting a triangulated surface skin.…”

Section: Building Structured Modelsmentioning

confidence: 99%

See 1 more Smart Citation

Free-form shape design using triangulated surfaces

Welch

Witkin

1994

Proceedings of the 21st Annual Conference on Computer Graphics and Interactive Techniques - SIGGRAPH '94

222

137

View full text Add to dashboard Cite

We present an approach to modeling with truly mutable yet completely controllable free-form surfaces of arbitrary topology. Surfaces may be pinned down at points and along curves, cut up and smoothly welded back together, and faired and reshaped in the large. This style of control is formulated as a constrained shape optimization, with minimization of squared principal curvatures yielding graceful shapes that are free of the parameterization worries accompanying many patch-based approaches. Triangulated point sets are used to approximate these smooth variational surfaces, bridging the gap between patch-based and particle-based representations. Automatic refinement, mesh smoothing, and re-triangulation maintain a good computational mesh as the surface shape evolves, and give sample points and surface features much of the freedom to slide around in the surface that oriented particles enjoy. The resulting surface triangulations are constructed and maintained in real time.

show abstract

Section: Local Coordinate Fittingmentioning

confidence: 99%

Section: Building Structured Modelsmentioning

confidence: 99%