Computer Aided Geometric Design
A unified approach to subdivision algorithms near extraordinary vertices
Computer Aided Geometric Design
Curvature continuous spline surfaces over irregular meshes
Computer Aided Geometric Design
Computer Aided Geometric Design
Subdivision surfaces in character animation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Irregular C2 surface construction using bi-polynomial rectangular patches
Computer Aided Geometric Design
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
C2 free-form surfaces of degree (3,5)
Computer Aided Geometric Design
Geometric continuity: a parametrization independent measure of continuity for computer aided geometric design (curves, surfaces, splines)
Modified subdivision surfaces with continuous curvature
ACM SIGGRAPH 2006 Papers
Constructing curvature-continuous surfaces by blending
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
ACM SIGGRAPH 2008 papers
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
Efficient substitutes for subdivision surfaces
ACM SIGGRAPH 2009 Courses
G2 tensor product splines over extraordinary vertices
SGP '08 Proceedings of the Symposium on Geometry Processing
Population-based fitting of medial shape models with correspondence optimization
IPMI'07 Proceedings of the 20th international conference on Information processing in medical imaging
Guided C2 spline surfaces with V-shaped tessellation
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
Manifold-based surfaces with boundaries
Computer Aided Geometric Design
G2 B-spline interpolation to a closed mesh
Computer-Aided Design
C2 splines covering polar configurations
Computer-Aided Design
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
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Catmull & Clark subdivision is now a standard for smooth free-form surface modeling. These surfaces are everywhere curvature continuous except at points corresponding to vertices not incident on four edges. While the surface has a continuous tangent plane at such a point, the lack of curvature continuity presents a severe problem for many applications. Topologically, each n-valent extraordinary vertex of a Catmull & Clark limit surface corresponds to an n-sided hole in the underlying 2-manifold represented by the control mesh. The problem we address here is: How to fill such a hole in a Catmull & Clark surface with exactly n tensor product patches that meet the surrounding bicubic patch network and each other with second order continuity. We convert the problem of filling the hole with n tensor product patches in the spatial domain into the problem of filling the hole in the n frequency modes with a single bidegree 7 tensor product patch.