Computer Aided Geometric Design
Filling polygonal holes with rectangular patches
Theory and practice of geometric modeling
Computer Aided Geometric Design
Curvature continuous interpolation of curve meshes
Computer Aided Geometric Design
Irregular C2 surface construction using bi-polynomial rectangular patches
Computer Aided Geometric Design
Modelings surfaces from meshes of arbitrary topology
Computer Aided Geometric Design
C2 free-form surfaces of degree (3,5)
Computer Aided Geometric Design
A simple manifold-based construction of surfaces of arbitrary smoothness
ACM SIGGRAPH 2004 Papers
Shape characterization of subdivision surfaces: case studies
Computer Aided Geometric Design
Second order smoothness over extraordinary vertices
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Modified subdivision surfaces with continuous curvature
ACM SIGGRAPH 2006 Papers
Concentric tessellation maps and curvature continuous guided surfaces
Computer Aided Geometric Design
Computer Aided Geometric Design
Computer Aided Geometric Design
G2 tensor product splines over extraordinary vertices
SGP '08 Proceedings of the Symposium on Geometry Processing
An introduction to guided and polar surfacing
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
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The guided spline approach to surface construction separates surface design and surface representation by constructing local guide surfaces and sampling these by splines of moderate degree. This paper explains a construction based on tessellating the domain into V-shaped regions so that the resulting C2 surfaces have G2 transitions across the boundaries of the V-shapes and consist of tensor-product splines of degree (6,6) with patches of degree (4,4) forming a central cap.