Genuine multi-sided parametric surface patches -- a survey

Cites Work

Transfinite mean value interpolation
A practical construction of \(G^{1}\) smooth biquintic B-spline surfaces over arbitrary topology
On the complexity of smooth spline surfaces from quad meshes
Polyhedral vertex blending with setbacks using rational S-patches
Construction and smoothing of triangular Coons patches with geodesic boundary curves
On transfinite interpolations with respect to convex domains
Elliptic grid generation techniques in the framework of isogeometric analysis applications
Overlap patches: a new scheme for interpolating curve networks with n- sided regions
Smooth interpolation in triangles
Smooth interpolation of a mesh of curves
Local surface interpolation with shape parameters between adjoining Gregory patches
Triangulations. Structures for algorithms and applications
A pentagonal surface patch for computer aided geometric design
Piecewise algebraic surface patches
Non-four-sided patch expressions with control points
Geometric continuity and convex combination patches
A \(C^ 2\) polygonal surface patch
Generating blend surfaces using partial differential equations
Generation of \(N\)-sided surface patches with holes
A rational finite element basis
Compatible smooth interpolation in triangles
The side-vertex method for interpolation in triangles
The Zheng-Ball construction without twist constraints
Continuity between Gregory-like patches
Surface modelling with an irregular network of curves via sweeping and blending
\(G^{2}\) interpolation of free form curve networks by biquintic Gregory patches
Control point surfaces over non-four-sided areas
Toric surface patches
Discrete Coons patches
The \(n\)-sided toric patches and \(\mathcal A\)-resultants
Ribbon-based transfinite surfaces
\(G^1\) continuity between toric surface patches
High quality local interpolation by composite parametric surfaces
Multisided generalisations of Gregory patches
Hermite mean value interpolation on polygons
Blowing up: application to \(G^2\)-continuous 8-sided filling patch
Colour interpolants for polygonal gradient meshes
An implicit \(\operatorname{G}^1\)-conforming bi-cubic interpolation for the analysis of smooth and folded Kirchhoff-Love shell assemblies
Exact sphere representations over Platonic solids based on rational multisided Bézier patches
Trimmed spline surfaces with accurate boundary control
\(h\)-refinement method for toric parameterization of planar multi-sided computational domain in isogeometric analysis
Surface patches with rounded corners
Multi-sided Bézier surfaces over curved, multi-connected domains
Splines for meshes with irregularities
Isogeometric analysis for trimmed CAD surfaces using multi-sided toric surface patches
Iterative coordinates
An improved algorithm for checking the injectivity of 2D toric surface patches
Multi-sided B-spline surfaces over curved, multi-connected domains
Smooth multi-patch discretizations in isogeometric analysis
Linear precision for toric surface patches
Gregory solid construction for polyhedral volume parameterization by sparse optimization
Mean value coordinates
Multisided arrays of control points for multisided Bézier patches
Enhancement of a multi-sided Bézier surface representation
The Draftsman's and related equations
Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
De Casteljau algorithm and degree elevation of toric surface patches
Weighted Extended B-Spline Approximation of Dirichlet Problems
Polygonal Spline Spaces and the Numerical Solution of the Poisson Equation
Seamless surface mappings
Flow aligned surfacing of curve networks
Geometric Continuity of Curves and Surfaces
A multisided generalization of Bézier surfaces
Creating multisided rational Bézier surfaces using base points
Pseudo-Harmonic Interpolation on Convex Domains
Tensorial Rational Surfaces with Base Points via Massic Vectors
Non-self-overlapping structured grid generation on ann-sided surface
A 3D contact smoothing method using Gregory patches
Cubic mean value coordinates
An Introduction to Guided and Polar Surfacing
Generalized barycentric coordinates and applications
Semi-analytic geometry with R-functions
Mathematics of Surfaces XI
Planar Parametrization in Isogeometric Analysis
The \(n-\)sided control point surfaces without twist constraints
Degree elevation for \(n-\)sided surfaces
Transfinite interpolation over implicitly defined sets
Implicit \(G^{n}\)-blending of vertices
Parametric \(G^n\) blending of curves and surfaces
Numerical quadrature for Gregory quads
Blending Bézier patch for multi-sided surface modeling
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item

This page was built for publication: Genuine multi-sided parametric surface patches -- a survey