Computer Aided Geometric Design
A multisided generalization of Bézier surfaces
ACM Transactions on Graphics (TOG)
A C2-quintic spline interpolation scheme on triangulation
Computer Aided Geometric Design
Modeling surfaces of arbitrary topology using manifolds
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Curvature continuous spline surfaces over irregular meshes
Computer Aided Geometric Design
Computer Aided Geometric Design
G2 interpolation of free form curve networks by biquintic Gregory patches
Computer Aided Geometric Design - Special issue: in memory of John Gregory
Degenerate Be´zier patches with continuous curvature
Computer Aided Geometric Design
Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
ArtDefo: accurate real time deformable objects
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Modelings surfaces from meshes of arbitrary topology
Computer Aided Geometric Design
Journal of Computational Physics
Subdivision Methods for Geometric Design: A Constructive Approach
Subdivision Methods for Geometric Design: A Constructive Approach
C2 free-form surfaces of degree (3,5)
Computer Aided Geometric Design
Flows on surfaces of arbitrary topology
ACM SIGGRAPH 2003 Papers
Global conformal surface parameterization
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Simple Manifolds for Surface Modeling and Parameterization (figures 3 and 6)
SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Spherical manifolds for adaptive resolution surface modeling
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
ACM SIGGRAPH 2006 Papers
Modified subdivision surfaces with continuous curvature
ACM SIGGRAPH 2006 Papers
Spectral surface quadrangulation
ACM SIGGRAPH 2006 Papers
Graphical Models - Special issue on SPM 05
Periodic global parameterization
ACM Transactions on Graphics (TOG)
Surface modeling and parameterization with manifolds
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Manifold-based approach to semi-regular remeshing
Graphical Models
Manifold splines with single extraordinary point
Proceedings of the 2007 ACM symposium on Solid and physical modeling
A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains
Journal of Computational Physics
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
Designing quadrangulations with discrete harmonic forms
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Journal of Computational Physics
Uniform approximation of near-singular surfaces
Theoretical Computer Science
User-controllable polycube map for manifold spline construction
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Manifold splines with a single extraordinary point
Computer-Aided Design
Computer-Aided Design
Computer Aided Geometric Design
Computer Aided Geometric Design
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
ACM SIGGRAPH 2009 papers
Mesh Smoothing for Parameterized Body Model with Loop Subdivision Algorithm
AST '09 Proceedings of the 2009 International e-Conference on Advanced Science and Technology
Piecewise Rational Manifold Surfaces with Sharp Features
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
C∞ smooth freeform surfaces over hyperbolic domains
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Quadrangle surface tiling through contouring
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
Scattered data fitting on surfaces using projected Powell-Sabin splines
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
Guided C2 spline surfaces with V-shaped tessellation
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
ASM: An adaptive simplification method for 3D point-based models
Computer-Aided Design
Manifold-based surfaces with boundaries
Computer Aided Geometric Design
Global parametrization of range image sets
Proceedings of the 2011 SIGGRAPH Asia Conference
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
A C1 globally interpolatory spline of arbitrary topology
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
A surface displaced from a manifold
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Constraints on curve networks suitable for G2 interpolation
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
Curve networks compatible with G2 surfacing
Computer Aided Geometric Design
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We present a smooth surface construction based on the manifold approach of Grimm and Hughes. We demonstrate how this approach can relatively easily produce a number of desirable properties which are hard to achieve simultaneously with polynomial patches, subdivision or variational surfaces. Our surfaces are C∞-continuous with explicit nonsingular C∞ parameterizations, high-order flexible at control vertices, depend linearly on control points, have fixed-size local support for basis functions, and have good visual quality.