A unified approach to subdivision algorithms near extraordinary vertices
Computer Aided Geometric Design
Computer Aided Geometric Design
Analysis of Algorithms Generalizing B-Spline Subdivision
SIAM Journal on Numerical Analysis
Shape characterization of subdivision surfaces: case studies
Computer Aided Geometric Design
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
On the curvature of guided surfaces
Computer Aided Geometric Design
Computer Aided Geometric Design
ACM SIGGRAPH 2009 papers
Technical Section: Assembling curvature continuous surfaces from triangular patches
Computers and Graphics
Finite Curvature Continuous Polar Patchworks
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Adjustable speed surface subdivision
Computer Aided Geometric Design
Efficient substitutes for subdivision surfaces
ACM SIGGRAPH 2009 Courses
Lens-shaped surfaces and C 2 subdivision
Computing - Geometric Modelling, Dagstuhl 2008
Guided C2 spline surfaces with V-shaped tessellation
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
An appropriate geometric invariant for the C2-analysis of subdivision surfaces
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
C2 splines covering polar configurations
Computer-Aided Design
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
An introduction to guided and polar surfacing
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods
Computer Graphics Forum
| Hi-index | 0.00 |
A multi-sided hole in a surface can be filled by a sequence of nested, smoothly joined surface rings. We show how to generate such a sequence so that (i) the resulting surface is C^2 (also in the limit), (ii) the rings consist of standard splines of moderate degree and (iii) the hole filling closely follows the shape of and replaces a guide surface whose good shape is desirable, but whose representation is undesirable. To preserve the shape, the guided rings sample position and higher-order derivatives of the guide surface at parameters defined and weighted by a concentric tessellating map. A concentric tessellating map maps the domains of n patches to an annulus in R^2 that joins smoothly with a @l-scaled copy of itself, 0