Results 11 to 20 of about 1,604 (193)

Shape theory and mathematical design of a general geometric kernel through regular stratified objects [PDF]

open access: yes, 2000
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
core   +8 more sources

Fast Reliable Ray-tracing of Procedurally Defined Implicit Surfaces Using Revised Affine Arithmetic [PDF]

open access: yes, 2009
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
core   +9 more sources

Strongly algebraic vector bundles over $R^d$

open access: yes, 2023
CM
Schabhüser, G.   +3 more
core   +1 more source

Central nullstellensätze in real analytic geometry [PDF]

open access: yes, 1992
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
core   +1 more source

Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets

open access: yes, 2019
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
core   +3 more sources

Some aspects of complexity in real algebraic geometry [PDF]

open access: yes, 1988
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
core   +1 more source

Implicit inequality constraints in a binary tree model [PDF]

open access: yes, 2011
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
core   +1 more source

Weak normalization and seminormalization in real algebraic geometry

open access: yes, 2021
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
core   +1 more source

Some Covariants Related to Steiner Surfaces

open access: yes, 2008
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
core   +1 more source

Tropical Methods in Geometry [PDF]

open access: yes, 2023
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 ...

core   +2 more sources

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