Optimal slicing of free-form surfaces

DOI10.1016/S0167-8396(01)00088-7zbMath0984.68169OpenAlexW2147608215MaRDI QIDQ5958570

Mohammad al-Kandari, Rida T. Farouki, Tait S. Smith, Helmut Pottmann

Publication date: 3 March 2002

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(01)00088-7

zbMATH Keywords

Gauss mapstereographic projectionmedial axis transformfree-form surfacesurface normalcontour machiningplanar slicingscallop height

Mathematics Subject Classification ID

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

Cites Work

• The approximation of non-degenerate offset surfaces
• On the numerical condition of polynomials in Bernstein form
• Algorithms for polynomials in Bernstein form
• Bounds on a polynomial
• Contour machining of free-form surfaces with real-time PH curve CNC interpolators
• Voronoi diagram and medial axis algorithm for planar domains with curved boundaries. II: Detailed algorithm description
• Voronoi diagram and medial axis algorithm for planar domains with curved boundaries. I: Theoretical foundations
• Effect of cutter mark on surface roughness and scallop height in sculptured surface machining
• Visibility maps and spherical algorithms
• Cone visibility decomposition of freeform surfaces.
• Mathematical theory of medial axis transform
• Medial Axis Transformation of a Planar Shape
• Gauss map computation for free-form surfaces
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