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Gauss map computation for free-form surfaces

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Publication:5958434
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DOI10.1016/S0167-8396(01)00066-8zbMath0984.68162MaRDI QIDQ5958434

Rida T. Farouki, Tait S. Smith

Publication date: 3 March 2002

Published in: Computer Aided Geometric Design (Search for Journal in Brave)


zbMATH Keywords

Gauss mapstereographic projectionGaussian curvatureBernstein formfree-form surfaceparabolic linequadtree decompositionsurface normal


Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)


Related Items

Cutter selection for 5-axis milling of sculptured surfaces based on accessibility analysis, Optimal slicing of free-form surfaces



Cites Work

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  • Robust arithmetic for multivariate Bernstein-form polynomials
  • Algorithms for polynomials in Bernstein form
  • Contour machining of free-form surfaces with real-time PH curve CNC interpolators
  • Visibility maps and spherical algorithms
  • Cone visibility decomposition of freeform surfaces.
  • Neighbor finding techniques for images represented by quadtrees
  • Orientation-based differential geometric representations for computer vision applications
  • On the Numerical Condition of Bernstein-Bezier Subdivision Processes
  • COMPUTING MINKOWSKI SUMS OF PLANE CURVES
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