Results 11 to 20 of about 1,604 (193)
Shape theory and mathematical design of a general geometric kernel through regular stratified objects [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This dissertation focuses on the mathematical design of a unified shape kernel for geometric computing, with possible applications to computer aided design (
Gomes, Abel Joao Padrao
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Fast Reliable Ray-tracing of Procedurally Defined Implicit Surfaces Using Revised Affine Arithmetic [PDF]
Fast and reliable rendering of implicit surfaces is an important area in the field of implicit modelling. Direct rendering, namely ray-tracing, is shown to be a suitable technique for obtaining good-quality visualisations of implicit surfaces. We present
Fryazinov, Oleg +2 more
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Central nullstellensätze in real analytic geometry [PDF]
We give an algebraic characterization for ideals of analytic functions vanishing on subsets of real analytic sets consisting of central points (i.e., those where the dimension is maximal).
Moussa, Ousmane
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Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets
We investigate connections between Lipschitz geometry of real algebraic varieties and properties of their arc spaces. First we define a real motivic integral which admits a change of variable formula not only for the birational but also for generically ...
Parusinski, Adam
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Some aspects of complexity in real algebraic geometry [PDF]
This paper gives a description of some aspects of complexity in real algebraic geometry: explicit bounds for the topology of real algebraic and semi-algebraic sets are given in term of the degree of the equations and inequations (results by Milnor-Thom),
Risler, Jean-Jacques
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Implicit inequality constraints in a binary tree model [PDF]
In this paper we investigate the geometry of a discrete Bayesian network whose graph is a tree all of whose variables are binary and the only observed variables are those labeling its leaves.
Zwiernik, Piotr +3 more
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Weak normalization and seminormalization in real algebraic geometry
This version contains some inaccuracies about centrality issues. A new version will appear soon.International audienceWe define the weak normalization and the seminormalization of a central real algebraic variety.
Monnier, Jean-Philippe +2 more
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Some Covariants Related to Steiner Surfaces
A Steiner surface is the generic case of a quadratically parameterizable quartic surface used in geometric modeling. This paper studies quadratic parameterizations of surfaces under the angle of Classical Invariant Theory.
Bruchou, Claude +4 more
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Tropical Methods in Geometry [PDF]
The workshop "Tropical methods in geometry" was devoted to a wide discussion and exchange of ideas between the leading experts representing various points of view on the subject including tropical methods in symplectic and Lagrangian geometry, topology ...
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