Geometric nonrobustness is a problem wherein branching decisions in computational geometry algorithms are based on approximate numerical computations.
INTRODUCTION. Nonrobustness refers to qualitative or catastrophic failures in geometric algorithms arising from numerical errors.
INTRODUCTION. Nonrobustness refers to qualitative or catastrophic failures in geometric algorithms arising from numerical errors.
An interactive exploration of numeric robustness issues based on Robust Arithmetic Notes by Mikola Lysenko + demo of robust-predicates.
Computational geometry develops algorithms for geometry and topology problems. The algorithms assume that arithmetic operations have.
I've produced algorithms and implementations for performing the 2D and 3D orientation and incircle tests correctly and reasonably quickly.
Geometric algorithms characterize the combinatorial structure by numerically computing the discrete relations (that are embodied in geometric predicates) ...
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We give a survey1 on techniques that have been proposed and successfully used to attack robustness problems in the implementation of geometric algorithms.
Apr 15, 2013 · There are two types of geometric calculations, or primitives, found in geometric algorithms: predicates, which make a two-way or three-way ...
Geometric computation software tends to be fragile and fails occasionally. This robustness problem is rooted in the difficulty of making unambiguous.