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Extended octtree representation of free form surfaces

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Publication:580875
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DOI10.1016/0167-8396(87)90031-8zbMath0626.65009OpenAlexW1990973499MaRDI QIDQ580875

Dolors Ayala, Pere Brunet

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-8396(87)90031-8


zbMATH Keywords

geometric modelingBézier splinebiquadratic Bézier- Bernstein patchesocttree encodingsolid-surface operationsthreedimensional surfacesvolume computations


Mathematics Subject Classification ID

Numerical computation using splines (65D07) Surfaces in Euclidean and related spaces (53A05) Graphical methods in numerical analysis (65S05)


Related Items (3)

SURFACE RECONSTRUCTION OF FREEFORM OBJECTS BASED ON HIERARCHICAL SPACE DECOMPOSITION ⋮ Cavitation in flow through a micro-orifice inside a silicon microchannel ⋮ Unstructured triangular surface grid generation and intrinsic grid analysis using rational triangular patches



Cites Work

  • Design techniques for the definition of solid objects with free-form geometry
  • Piecewise algebraic surface patches
  • A survey of curve and surface methods in CAGD
  • Algorithm for algebraic curve intersection
  • Connected Component Labeling Using Quadtrees


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