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LICS
1997
IEEE
13 years 11 months ago
Induction and Recursion on the Partial Real Line via Biquotients of Bifree Algebras
The partial real line is the continuous domain of compact real intervals ordered by reverse inclusion. The idea is that singleton intervals represent total real numbers, and that ...
Martín Hötzel Escardó, Thomas S...
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,...
ENTCS
2002
101views more  ENTCS 2002»
13 years 7 months ago
Hypergeometric Functions in Exact Geometric Computation
Most problems in computational geometry are algebraic. A general approach to address nonrobustness in such problems is Exact Geometric Computation (EGC). There are now general lib...
Zilin Du, Maria Eleftheriou, José E. Moreir...
DAGSTUHL
2008
13 years 9 months ago
Theory of Real Computation According to EGC
The Exact Geometric Computation (EGC) mode of computation has been developed over the last decade in response to the widespread problem of numerical non-robustness in geometric al...
Chee-Keng Yap
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