Best bounds on the approximation of polynomials and splines by their control structure
From MaRDI portal
Publication:1575204
DOI10.1016/S0167-8396(00)00014-5zbMath0952.41011OpenAlexW2046389495MaRDI QIDQ1575204
Publication date: 21 August 2000
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-8396(00)00014-5
B-splineslocal boundsBézier curvesbest constanttensor product B-splinesglobal boundsBézier triangles
Related Items (20)
Global optimization with spline constraints: a new branch-and-bound method based on B-splines ⋮ Sleves for planar spline curves ⋮ Weighting Shepard-type operators ⋮ A simple and efficient approximation of a Bézier piece by its cutdown polygon ⋮ Computing intersections of planar spline curves using knot insertion ⋮ Convergence of geodesics on triangulations ⋮ Consolidated sharp bounds for Bézier curve approximation with cutdown polygon and corner cutting polygon ⋮ Best bounds on the distance between 3-direction quartic box spline surface and its control net ⋮ Approximation of a continuous curve by its Bernstein-Bézier operator ⋮ A formula for estimating the deviation of a binary interpolatory subdivision curve from its data polygon ⋮ Certificates of positivity in the Bernstein basis ⋮ Mean Distance from a Curve to Its Control Polygon ⋮ Optimized refinable enclosures of multivariate polynomial pieces ⋮ A bound on the approximation of a Catmull-Clark subdivision surface by its limit mesh ⋮ Estimating error bounds for quaternary subdivision schemes ⋮ An effective bound on the gap between the control polytype and the graph of a real polynomial on a simplex ⋮ The distance of a subdivision surface to its control polyhedron ⋮ Sharp bounds on the approximation of a Bézier polynomial by its quasi-control polygon ⋮ Estimating error bounds for tensor product binary subdivision volumetric model ⋮ Error bounds for Loop subdivision surfaces
This page was built for publication: Best bounds on the approximation of polynomials and splines by their control structure