Fuzzy volumes, principles and applications

Authors:
Khaled Benfriha;Ameziane Aoussat
Affiliations:
Laboratoire CPI, Ecole Nationale Superieure des Arts et Metiers, 151, Boulevard de lhopital, 75013 Paris, France.;Laboratoire CPI, Ecole Nationale Superieure des Arts et Metiers, 151, Boulevard de lhopital, 75013 Paris, France
Venue:
International Journal of Computer Applications in Technology
Year:
2004

Citing 7
Cited 0

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Geometric modeling
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Curve intersection using Be´zier clipping

Computer-Aided Design - Special Issue: Be´zier Techniques
A method for intersecting algebraic surfaces with rational polynomial patches in presented

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Fuzzy convex hull determination in 2-D space

Pattern Recognition Letters
Some shape definitions in fuzzy geometry of space

Pattern Recognition Letters
SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS

SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS

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Abstract

The 3D simulation of objects in an evolutionist environment is hard to implement when we consider the amount of parameters and the high cost of computer resources. These facts bring us to introduce the notion of associated fuzzy volumes. This concept is based on the fuzzy geometry principles, which can be used in production with robot assistance. The technique is the associating to complex objects and their environment some fuzzy volumes, constitute of peaks network (points positioned in 3D) in which these points are situated around an object or on its surface in order to approach a target object. With the algorithm developed in this paper, which is based on a genetic algorithm, it is possible to detect interference during the simulation time. The industrial manipulator is used as first application of this technology, the second application is the NC machining.