Old problems and new challenges in subdivision

DOI10.1016/J.CAM.2018.06.012zbMath1415.65049OpenAlexW2809298098WikidataQ129638023 ScholiaQ129638023MaRDI QIDQ1713133

Ulrich Reif, Malcolm A. Sabin

Publication date: 24 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.cam.2018.06.012

zbMATH Keywords

subdivisionopen problems

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (6)

An optimally convergent smooth blended B-spline construction for semi-structured quadrilateral and hexahedral meshes ⋮ Point-normal subdivision curves and surfaces ⋮ SMART 2017. Second conference on subdivision, geometric and algebraic methods, isogeometric analysis and refinability in Italy ⋮ A few conjectures on a four-point interpolatory subdivision scheme ⋮ Non-stationary subdivision schemes: state of the art and perspectives ⋮ Fundamental functions for local interpolation of quadrilateral meshes with extraordinary vertices

Cites Work

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• Guided spline surfaces
• On the volume of sets bounded by refinable functions
• A variational approach to subdivision
• A tree-based approach to joint spectral radius determination
• Smoothness analysis of subdivision schemes by proximity
• Hölder regularity of geometric subdivision schemes
• Nonlinear subdivision schemes on irregular meshes
• On the joint spectral radius of matrices of order 2 with equal spectral radius
• Analysis and design of univariate subdivision schemes
• \(C^1\)-continuity of the generalized four-point scheme
• TURBS - topologically unrestricted rational B-splines
• Exact computation of joint spectral characteristics of linear operators
• Generalized Lane-Riesenfeld algorithms
• Shape characterization of subdivision surfaces -- basic principles
• Shape characterization of subdivision surfaces --- case studies
• Subdivision surfaces
• A butterfly subdivision scheme for surface interpolation with tension control
• Smoothness Analysis of Subdivision Schemes on Regular Grids by Proximity
• Subdivision schemes in geometric modelling
• Stationary subdivision
• Computationally Efficient Approximations of the Joint Spectral Radius
• Curvature integrability of subdivision surfaces

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