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Journals ACM SIGAPL APL Quote Quad Volume 32 Issue 1

Scientific APL2 Computing: Bezier, BSPLINES, NURBS (Curves & Surfaces) Jean-Claude Duguet Pierre Bezier, graduated by the High Schools "ARTS et METIERS" and "Ecole Superieure D'electricite", also Doctor in Mathematics. He invented the Machines-Transfert, exported by Renault world-wide, revolutionizing the automation for the sequential tooling of motor-blocs etc. As Director of Renault General Management, he became in 1965 the world pioneer for Computer Manufacturing Aided Design(CFAO) by the software UNISURF (FORTRAN), exported world-wide. He was also Vice-President of the "Societe des Ingenieurs Civils De France" and President of the mathematical Cercle Pierre De Jumieges, and died at the end of November, 1999. His idea was that "all objects should be represented by little numbers, an interactive method of mathematical computing permitting to create and draw 2/3D-Curves". Reminds their definition: geometric location of successive barycenters for a giving number of fixed poles, their sum of masses remaining equal to one. 3D-Surfaces are generated by moving 2D-Curves along the third dimension and parametric modified along the x and y axis in function of the z value and, if animation, of the time. You can verify this in the algorithms which uses a double contracted (matrix) product. If you permute the transposed

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Scientific APL2 computing: Bezier, BSPLINES, NURBS (curves & surfaces)

Duguet, Jean-Claude
ACM SIGAPL APL Quote Quad , Volume 32 (1)
Association for Computing Machinery – Sep 21, 2001

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