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» On the topology of planar algebraic curves
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SIGGRAPH
1987
ACM
13 years 11 months ago
Direct least-squares fitting of algebraic surfaces
In the course of developing a system for fitting smooth curves to camera input we have developed several direct (i.e. noniterative) methods for fitting a shape (line, circle, conic...
Vaughan R. Pratt
CG
2004
Springer
13 years 7 months ago
A barcode shape descriptor for curve point cloud data
In this paper, we present a complete computational pipeline for extracting a compact shape descriptor for curve point cloud data. Our shape descriptor, called a barcode, is based ...
Anne D. Collins, Afra Zomorodian, Gunnar Carlsson,...
GMP
2002
IEEE
172views Solid Modeling» more  GMP 2002»
14 years 13 days ago
Classifying the Nonsingular Intersection Curve of Two Quadric Surfaces
We present new results on classifying the morphology of the nonsingular intersection curve of two quadrics by studying the roots of the characteristic equation, or the discriminan...
Changhe Tu, Wenping Wang, Jiaye Wang
COMPGEOM
2001
ACM
13 years 11 months ago
Computing a 3-dimensional cell in an arrangement of quadrics: exactly and actually!
We present two approaches to the problem of calculating a cell in a 3-dimensional arrangement of quadrics. The first approach solves the problem using rational arithmetic. It work...
Nicola Geismann, Michael Hemmer, Elmar Schöme...
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