Piecewise algebraic surface patches

DOI10.1016/0167-8396(85)90007-XzbMath0578.65147OpenAlexW1989708343MaRDI QIDQ1066657

Thomas W. Sederberg

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0167-8396(85)90007-x

zbMATH Keywords

contourcontrol pointscomputer aided geometric designpolynomial equationalgebraic surface patchBernstein-Bézier-Farin polynomialsmodelling solids

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multidimensional problems (41A63) Approximation by polynomials (41A10) Graphical methods in numerical analysis (65S05)

Related Items

Implicit surface reconstruction with total variation regularization, Convexity preserving interpolation by algebraic curves and surfaces, Modeling contours of trivariate data, Computational issues in solid boundary evaluation, Quartic supercyclides I: Basic theory, On computing the intersection of a pair of algebraic surfaces, The Bernstein polynomial basis: a centennial retrospective, The Cayley-Bacharach theorem for continuous piecewise algebraic curves over cross-cut triangulations, On the numerical condition of algebraic curves and surfaces. I: Implicit equations, \(C^{1}\) modeling with A-patches from rational trivariate functions, The Bézout number for linear piecewise algebraic curves, Extended octtree representation of free form surfaces, Piecewise algebraic surface computation and smoothing from a discrete model, Cubicoids: modeling and visualization, Local smooth surface interpolation: A classification, On zero curves of bivariate polynomials, Unnamed Item, Free-Form Modeling in Bilateral Brep and CSG Representation Schemes

Cites Work

• Three- and four-dimensional surfaces
• A trivariate Clough-Tocher scheme for tetrahedral data
• Planar piecewise algebraic curves
• A survey of curve and surface methods in CAGD
• Implicit representation of parametric curves and surfaces
• A constructive geometry for computer graphics