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EWC
2007
93views more  EWC 2007»
13 years 9 months ago
Approximation of involute curves for CAD-system processing
In numerous instances, accurate algorithms for approximating the original geometry is required. One typical example is a circle involute curve which represents the underlying geom...
Fumitaka Higuchi, Shuichi Gofuku, Takashi Maekawa,...
JANCL
2002
91views more  JANCL 2002»
13 years 9 months ago
A Modal Walk Through Space
We investigate the major mathematical theories of space from a modal standpoint: topology, affine geometry, metric geometry, and vector algebra. This allows us to see new fine-str...
Marco Aiello, Johan van Benthem
COMPGEOM
2011
ACM
13 years 1 months ago
Zigzag persistent homology in matrix multiplication time
We present a new algorithm for computing zigzag persistent homology, an algebraic structure which encodes changes to homology groups of a simplicial complex over a sequence of sim...
Nikola Milosavljevic, Dmitriy Morozov, Primoz Skra...
COCOA
2011
Springer
12 years 9 months ago
The Complexity of Testing Monomials in Multivariate Polynomials
The work in this paper is to initiate a theory of testing monomials in multivariate polynomials. The central question is to ask whether a polynomial represented by certain economi...
Zhixiang Chen, Bin Fu
JACM
2007
84views more  JACM 2007»
13 years 9 months ago
Polymorphic higher-order recursive path orderings
This paper extends the termination proof techniques based on reduction orderings to a higher-order setting, by defining a family of recursive path orderings for terms of a typed ...
Jean-Pierre Jouannaud, Albert Rubio