Add to ORKGAbstract: A simplified method of symbolic perturbation is proposed in this work. Main attention is concentrated on the types of geometric degeneracies that could be removed using this method. Also the conditions for applying the method to defined parts of big program are considered. We present the results of program realization of the method and its experimental behavior.Note: Research direction:Mathematical problems and theory of numerical method
This paper describes a general-purpose programming technique, called Simulation of Simplicity, that ...
This paper discusses the problem of geometric degeneracies and outlines possible solutions when conv...
As its name implies, symbolic and algebraic manipulation is an operational tool which not only can r...
Degenerate geometric data (e.g., three points on a line, four points on a circle) is known to create...
International audienceIn a classical Symbolic Perturbation scheme, degeneracies are handled by subst...
Many descriptions of algorithms in computational geometry exclude degeneracies by fiat. Practitioner...
In a classical Symbolic Perturbation scheme, degeneracies are handled by substituting some polynomia...
International audienceIn a classical Symbolic Perturbation scheme, degeneracies are handled by subst...
We study to problem of degeneracy in geometric algorithms and show that degeneracies arise even in s...
. This article defines input perturbations so that an algorithm designed under certain restrictions ...
AbstractIn a previous paper, we introduced a generic solution to the problem of data degeneracy in g...
In a classical Symbolic Perturbation scheme,degeneracies are handled by substituting some polynomia...
A basic technique for the numerical solution of ordinary differential equations is to express them a...
Existing methods for removing degeneracies in computational geometry can be classified as either app...
AbstractControlled Perturbation (CP, for short) is an approach to obtaining efficient and robust imp...
This paper describes a general-purpose programming technique, called Simulation of Simplicity, that ...
This paper discusses the problem of geometric degeneracies and outlines possible solutions when conv...
As its name implies, symbolic and algebraic manipulation is an operational tool which not only can r...
Degenerate geometric data (e.g., three points on a line, four points on a circle) is known to create...
International audienceIn a classical Symbolic Perturbation scheme, degeneracies are handled by subst...
Many descriptions of algorithms in computational geometry exclude degeneracies by fiat. Practitioner...
In a classical Symbolic Perturbation scheme, degeneracies are handled by substituting some polynomia...
International audienceIn a classical Symbolic Perturbation scheme, degeneracies are handled by subst...
We study to problem of degeneracy in geometric algorithms and show that degeneracies arise even in s...
. This article defines input perturbations so that an algorithm designed under certain restrictions ...
AbstractIn a previous paper, we introduced a generic solution to the problem of data degeneracy in g...
In a classical Symbolic Perturbation scheme,degeneracies are handled by substituting some polynomia...
A basic technique for the numerical solution of ordinary differential equations is to express them a...
Existing methods for removing degeneracies in computational geometry can be classified as either app...
AbstractControlled Perturbation (CP, for short) is an approach to obtaining efficient and robust imp...
This paper describes a general-purpose programming technique, called Simulation of Simplicity, that ...
This paper discusses the problem of geometric degeneracies and outlines possible solutions when conv...
As its name implies, symbolic and algebraic manipulation is an operational tool which not only can r...