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» Approximate Implicitization Using Monoid Curves and Surfaces
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ICPR
2004
IEEE
14 years 8 months ago
Linear and Non-linear Geometric Object Matching with Implicit Representation
This paper deals with the matching of geometric objects including points, curves, surfaces, and subvolumes using implicit object representations in both linear and non-linear sett...
Alex D. Leow, Henry S. C. Huang, Hillary Protas, L...
SMA
2010
ACM
187views Solid Modeling» more  SMA 2010»
13 years 8 months ago
Polygonizing extremal surfaces with manifold guarantees
Extremal surfaces are a class of implicit surfaces that have been found useful in a variety of geometry reconstruction applications. Compared to iso-surfaces, extremal surfaces ar...
Ruosi Li, Lu Liu, Ly Phan, Sasakthi S. Abeysinghe,...
COMPGEOM
2005
ACM
13 years 9 months ago
Inequalities for the curvature of curves and surfaces
In this paper, we bound the difference between the total mean curvatures of two closed surfaces in R3 in terms of their total absolute curvatures and the Fr´echet distance betwee...
David Cohen-Steiner, Herbert Edelsbrunner
CAD
2011
Springer
12 years 11 months ago
Industrial design using interpolatory discrete developable surfaces
Design using free-form developable surfaces plays an important role in manufacturing industry. Currently most commercial systems can only support converting free-form surfaces int...
Yong-Jin Liu, Kai Tang, Wen-Yong Gong, Tie-Ru Wu
SMA
2003
ACM
120views Solid Modeling» more  SMA 2003»
14 years 29 days ago
Three-dimensional halfspace constructive solid geometry tree construction from implicit boundary representations
This paper presents a new method to compute constructive solid geometry (CSG) tree representations of an object whose faces consist of planar and non-planar surfaces. The algorith...
Suzanne F. Buchele, Richard H. Crawford