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PG
2002
IEEE
14 years 15 days ago
Approximation with Active B-Spline Curves and Surfaces
An active contour model for parametric curve and surface approximation is presented. The active curve or surface adapts to the model shape to be approximated in an optimization al...
Helmut Pottmann, Stefan Leopoldseder, Michael Hofe...
SMA
2008
ACM
182views Solid Modeling» more  SMA 2008»
13 years 7 months ago
Voronoi diagram computations for planar NURBS curves
We present robust and efficient algorithms for computing Voronoi diagrams of planar freeform curves. Boundaries of the Voronoi diagram consist of portions of the bisector curves b...
Joon-Kyung Seong, Elaine Cohen, Gershon Elber
SIGGRAPH
1993
ACM
13 years 11 months ago
Radiosity algorithms using higher order finite element methods
Many of the current radiosity algorithms create a piecewise constant approximation to the actual radiosity. Through interpolation and extrapolation, a continuous solution is obtai...
Roy Troutman, Nelson L. Max
SIAMSC
2008
191views more  SIAMSC 2008»
13 years 7 months ago
ORBIT: Optimization by Radial Basis Function Interpolation in Trust-Regions
Abstract. We present a new derivative-free algorithm, ORBIT, for unconstrained local optimization of computationally expensive functions. A trust-region framework using interpolati...
Stefan M. Wild, Rommel G. Regis, Christine A. Shoe...
CIE
2005
Springer
13 years 9 months ago
Domain-Theoretic Formulation of Linear Boundary Value Problems
Abstract. We present a domain theoretic framework for obtaining exact solutions of linear boundary value problems. Based on the domain of compact real intervals, we show how to app...
Dirk Pattinson