A hybrid non-stationary subdivision scheme based on triangulation

DOI10.1007/s40819-021-01114-2zbMath1499.65041OpenAlexW3190988189MaRDI QIDQ2114613

Mahendra Kumar Jena, Hrushikesh Jena

Publication date: 15 March 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-021-01114-2

zbMATH Keywords

convergencearbitrary topologytrigonometric B-splinesCourant elementbivariate box splinedirectional convolution

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (3)

An introduction to a hybrid trigonometric box spline surface producing subdivision scheme ⋮ Shape preserving rational [3/2 Hermite interpolatory subdivision scheme] ⋮ Annihilation operators for exponential spaces in subdivision

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularity of non-stationary subdivision: a matrix approach
• Scalar multivariate subdivision schemes and box splines
• Algebraic conditions on non-stationary subdivision symbols for exponential polynomial reproduction
• Subdivision algorithms for the generation of box spline surfaces
• Box splines
• Convergence of univariate non-stationary subdivision schemes via asymptotic similarity
• Analysis of non-stationary Hermite subdivision schemes reproducing exponential polynomials
• Polynomial reproduction of multivariate scalar subdivision schemes
• Convergence and normal continuity analysis of nonstationary subdivision schemes near extraordinary vertices and faces
• Construction of trigonometric box splines and the associated non-stationary subdivision schemes
• Construction and analysis of unified 4-point interpolating nonstationary subdivision surfaces
• Unified framework of approximating and interpolatory subdivision schemes for construction of class of binary subdivision schemes
• Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix
• A non-stationary subdivision scheme for generalizing trigonometric spline surfaces to arbitrary meshes
• Elementary factorisation of box spline subdivision
• CONSTRUCTION OF COMPACTLY SUPPORTED WAVELETS FROM TRIGONOMETRIC B-SPLINES
• A butterfly subdivision scheme for surface interpolation with tension control
• Spline Functions on Triangulations
• Modeling of Curves and Surfaces with MATLAB®
• Stationary subdivision
• A subdivision algorithm for trigonometric spline curves

This page was built for publication: A hybrid non-stationary subdivision scheme based on triangulation