4--8 Subdivision
From MaRDI portal
Publication:5941355
DOI10.1016/S0167-8396(01)00039-5zbMath0969.68157MaRDI QIDQ5941355
No author found.
Publication date: 20 August 2001
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
subdivision schemesquincunx latticebinary 4-8 refinementfour-directional gridslaves tilingstwo-pass smoothing
Related Items
Computational analysis of mesh simplification using global error ⋮ Elementary factorisation of box spline subdivision ⋮ A generative classification of mesh refinement rules with lattice transformations ⋮ Subdivision scheme tuning around extraordinary vertices ⋮ Four-triangles adaptive algorithms for RTIN terrain meshes ⋮ Non-uniform Doo-Sabin subdivision surface via eigen polygon ⋮ A new cross subdivision scheme for surface design ⋮ Analyzing a generalized Loop subdivision scheme ⋮ Fast flow computation methods on unstructured tetrahedral meshes for rapid reservoir modelling ⋮ Feature-aware reconstruction of trimmed splines using Ricci flow with metric optimization ⋮ \(G^1\) spline functions for point cloud fitting ⋮ Non-uniform interpolatory subdivision surface ⋮ Biorthogonal wavelets with 4-fold axial symmetry for quadrilateral surface multiresolution processing ⋮ Topological mesh operators ⋮ Generalized Richardson extrapolation procedures for estimating grid-independent numerical solutions ⋮ An alternative method for constructing interpolatory subdivision from approximating subdivision ⋮ Quadrilateral mesh generation. III: Optimizing singularity configuration based on Abel-Jacobi theory ⋮ Triangular \(\sqrt 7\) and quadrilateral \(\sqrt 5\) subdivision schemes: regular case ⋮ Artifact analysis on B-splines, box-splines and other surfaces defined by quadrilateral polyhedra ⋮ A bivariate \(C^1\) subdivision scheme based on cubic half-box splines ⋮ Number systems, \(\alpha\)-splines and refinement ⋮ On subdivision schemes generalizing uniform B-spline surfaces of arbitrary degree ⋮ A unified framework for primal/dual quadrilateral subdivision schemes ⋮ Noninterpolatory Hermite subdivision schemes ⋮ Matrix-valued subdivision schemes for generating surfaces with extraordinary vertices ⋮ Smoothing the Antagonism between Extraordinary Vertex and Ordinary Neighbourhood on Subdivision Surfaces ⋮ Jet subdivision schemes on the \(k\)-regular complex ⋮ Refinable bivariate quartic and quintic \(C^{2}\)-splines for quadrilateral subdivisions ⋮ Bi-frames with 4-fold axial symmetry for quadrilateral surface multiresolution processing ⋮ Block-balanced meshes in iterative uniform refinement ⋮ Composite \(\sqrt{2}\) subdivision surfaces ⋮ Biorthogonal wavelets based on gradual subdivision of quadrilateral meshes ⋮ Optimal $C^2$ two-dimensional interpolatory ternary subdivision schemes with two-ring stencils ⋮ Quasi-interpolating bivariate dual \(\sqrt{ 2}\)-subdivision using 1D stencils ⋮ A cascadic geometric filtering approach to subdivision. ⋮ Matrix-valued symmetric templates for interpolatory surface subdivisions. I: Regular vertices ⋮ Subdivision as a fundamental building block of digital geometry processing algorithms ⋮ The refinability of the four point scheme
Cites Work
- Unnamed Item
- Unnamed Item
- A unified approach to subdivision algorithms near extraordinary vertices
- Edge and vertex insertion for a class of \(C^{1}\) subdivision surfaces
- Box splines
- Smoothness of stationary subdivision on irregular meshes
- Mesh Refinement Processes Based on the Generalized Bisection of Simplices
- A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
- Stationary subdivision
- Cyclic Interlaced Quadtree Algorithms for Quincunx Multiresolution
- Stability and Orthonormality of Multivariate Refinable Functions
- A Method for Analysis ofC1-Continuity of Subdivision Surfaces
- Multivariate Splines with Nondegenerate Partitions
- Quasi 4--8 subdivision
- Right-triangulated irregular networks