Interpolating Subdivision for meshes with arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
A multiresolution framework for variational subdivision
ACM Transactions on Graphics (TOG)
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Generalizing the C4 four-directional box spline to surfaces of arbitrary topology
Mathematical Methods for Curves and Surfaces
Eigenanalysis and Continuity of Non-Uniform Doo-Sabin Surfaces
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Mesh mutation in programmable graphics hardware
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
Composite primal/dual √3-subdivision schemes
Computer Aided Geometric Design
Geometry compression of normal meshes using rate-distortion algorithms
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
A geometric database for gene expression data
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Progressive point set surfaces
ACM Transactions on Graphics (TOG)
A concept for parametric surface fitting which avoids the parametrization problem
Computer Aided Geometric Design
Surface fairing and featuring by mean curvature motions
Journal of Computational and Applied Mathematics - Special issue on proceedings of the international symposium on computational mathematics and applications
Adaptive surfaces fairing by geometric diffusion
Geometric modeling
A simple manifold-based construction of surfaces of arbitrary smoothness
ACM SIGGRAPH 2004 Papers
BD-tree: output-sensitive collision detection for reduced deformable models
ACM SIGGRAPH 2004 Papers
Subdivision scheme tuning around extraordinary vertices
Computer Aided Geometric Design
Combining 4- and 3-direction subdivision
ACM Transactions on Graphics (TOG)
On C2 triangle/quad subdivision
ACM Transactions on Graphics (TOG)
Lofting curve networks using subdivision surfaces
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
A realtime GPU subdivision kernel
ACM SIGGRAPH 2005 Papers
A pattern-based data structure for manipulating meshes with regular regions
GI '05 Proceedings of Graphics Interface 2005
Biorthogonal loop-subdivision wavelets
Computing - Geometric modelling dagstuhl 2002
Convergence and C1 analysis of subdivision schemes on manifolds by proximity
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Interpolation over Arbitrary Topology Meshes Using a Two-Phase Subdivision Scheme
IEEE Transactions on Visualization and Computer Graphics
C2 subdivision over triangulations with one extraordinary point
Computer Aided Geometric Design
Intrinsic subdivision with smooth limits for graphics and animation
ACM Transactions on Graphics (TOG)
Modified subdivision surfaces with continuous curvature
ACM SIGGRAPH 2006 Papers
Edge subdivision schemes and the construction of smooth vector fields
ACM SIGGRAPH 2006 Papers
A mesh refinement library based on generic design
Proceedings of the 43rd annual Southeast regional conference - Volume 1
Modeling with multiresolution subdivision surfaces
ACM SIGGRAPH 2006 Courses
Introduction to SIGGRAPH and computer graphics
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
A framework for multi-dimensional adaptive subdivision objects
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Finite element modeling of lipid bilayer membranes
Journal of Computational Physics
Using multimedia and Web3D to enhance anatomy teaching
Computers & Education
An interpolating 4-point C2 ternary non-stationary subdivision scheme with tension control
Computer Aided Geometric Design
Composite 2 subdivision surfaces
Computer Aided Geometric Design
Direct manipulation of subdivision surfaces on GPUs
ACM SIGGRAPH 2007 papers
Introduction to SIGGRAPH and computer graphics
ACM SIGGRAPH 2007 courses
Selectively refinable subdivision meshes
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Neuroinformatics for Genome-Wide 3-D Gene Expression Mapping in the Mouse Brain
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
From extension of Loop's approximation scheme to interpolatory subdivisions
Computer Aided Geometric Design
Introduction to SIGGRAPH and interactive computer graphics
ACM SIGGRAPH 2008 classes
Exact evaluation of limits and tangents for non-polynomial subdivision schemes
Computer Aided Geometric Design
Polynomial reproduction by symmetric subdivision schemes
Journal of Approximation Theory
Non-uniform subdivision for B-splines of arbitrary degree
Computer Aided Geometric Design
Journal of Computational and Applied Mathematics
Computer-Aided Design
Introduction to computer graphics
ACM SIGGRAPH ASIA 2008 courses
Convergence of geodesics on triangulations
Computer Aided Geometric Design
NURBS with extraordinary points: high-degree, non-uniform, rational subdivision schemes
ACM SIGGRAPH 2009 papers
High-order approximation of implicit surfaces by G1 triangular spline surfaces
Computer-Aided Design
An interpolating 6-point C2 non-stationary subdivision scheme
Journal of Computational and Applied Mathematics
Digital Modeling of Material Appearance
Digital Modeling of Material Appearance
Sketch-based subdivision models
Proceedings of the 6th Eurographics Symposium on Sketch-Based Interfaces and Modeling
Convergence and C1 analysis of subdivision schemes on manifolds by proximity
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Surface interpolation of meshes by geometric subdivision
Computer-Aided Design
Subdivision surfaces for CAD-an overview
Computer-Aided Design
Dynamic surfel set refinement for high-quality rendering
Computers and Graphics
Non-stationary subdivision schemes for surface interpolation based on exponential polynomials
Applied Numerical Mathematics
Efficient substitutes for subdivision surfaces
ACM SIGGRAPH 2009 Courses
Local and singularity-free G 1 triangular spline surfaces using a minimum degree scheme
Computing - Geometric Modelling, Dagstuhl 2008
Progressive curve representation based on reverse subdivision
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartI
Geodesic as limit of geodesics on PL-surfaces
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Introduction to computer graphics
ACM SIGGRAPH ASIA 2010 Courses
Advances in Computational Mathematics
Technical Section: Multiresolutions numerically from subdivisions
Computers and Graphics
Polynomial-based non-uniform interpolatory subdivision with features control
Journal of Computational and Applied Mathematics
Advances in Computational Mathematics
Algebraic conditions on non-stationary subdivision symbols for exponential polynomial reproduction
Journal of Computational and Applied Mathematics
Introduction to computer graphics
SIGGRAPH Asia 2011 Courses
A modified nielson's side-vertex triangular mesh interpolation scheme
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and its Applications - Volume Part I
Hybrid segmentation framework for tissue images containing gene expression data
MICCAI'05 Proceedings of the 8th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
An approach for embedding regular analytic shapes with subdivision surfaces
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Optimizing mesh construction for quad/triangle schemes
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Exponential splines and minimal-support bases for curve representation
Computer Aided Geometric Design
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
An heuristic analysis of the classification of bivariate subdivision schemes
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
The importance of polynomial reproduction in piecewise-uniform subdivision
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Artifacts in box-spline surfaces
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Composite √2 subdivision surfaces
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
A new class of non-stationary interpolatory subdivision schemes based on exponential polynomials
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Computation of normals for stationary subdivision surfaces
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Full length article: Bivariate interpolation based on univariate subdivision schemes
Journal of Approximation Theory
A discrete approach to multiresolution curves and surfaces
Transactions on Computational Science VI
Discrete bi-Laplacians and biharmonic b-splines
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods
Computer Graphics Forum
Isoparametric finite element analysis for Doo-Sabin subdivision models
Proceedings of Graphics Interface 2012
Computer Graphics Forum
An overview of procedures for refining triangulations
ICCSA'12 Proceedings of the 12th international conference on Computational Science and Its Applications - Volume Part I
Real-time point cloud refinement
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Similarity-Based appearance-prior for fitting a subdivision mesh in gene expression images
MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
Cubic subdivision schemes with double knots
Computer Aided Geometric Design
Efficient and adaptive rendering of 2-D continuous scatterplots
EuroVis'09 Proceedings of the 11th Eurographics / IEEE - VGTC conference on Visualization
Interproximate curve subdivision
Journal of Computational and Applied Mathematics
A unified interpolatory subdivision scheme for quadrilateral meshes
ACM Transactions on Graphics (TOG)
A generalized surface subdivision scheme of arbitrary order with a tension parameter
Computer-Aided Design
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From the Publisher:The world's leading animation houses rely increasingly on subdivision methods for creating realistic-looking complex shapes. However, until now there was no one book devoted to this powerful geometric modeling technique. Subdivision Methods for Geometric Design does the job with authority and precision, providing all that is needed to understand how subdivision works its magic, and how to make that magic work. Throughout the book, icons cue readers to visit a companion Web site loaded with interactive exercises, implementations of the book's images, and supplementary material. Rich in theory, analysis, and practical information, this book is the complete resource for subdivision methods. Features The result of a collaboration between a leading university researcher and an industry practitioner. The only book devoted exclusively and comprehensively to this important new technology. Provides solid background and theoretical analysis of subdivision as well as a wide variety of specific applications. Addresses algorithms for Bezier and uniform B-Spline curves, Catmull-Clark subdivision for quad meshes, and regularity tests for polyhedral meshes. Via the companion Web site, (www.subdivision.com), provides opportunities for readers to experiment hands-on with implementations in a richly interactive environment. Includes a foreword by Tony DeRose, recipient of the 1999 ACM Computer Graphics Achievement Award for his seminal work in subdivision methods. Author Biography: Joe Warren, Professor of Computer Science at Rice University since 1986, is one of the world's leading experts on subdivision. Of his nearly 50 computer science papers-published in prestigious forums such as SIGGRAPH, Transactions on Graphics, Computer-Aided Geometric Design, and The Visual Computer-a dozen specifically address subdivision and its applications to computer graphics. Prof. Warren received both his M.S. and Ph.D. in Computer Science at Cornell University. His research interests focus on mathematical methods for representing geometric shape. Henrik Weimer is a research scientist at the DaimlerChrysler Corporate Research Center in Berlin, where he works on knowledge-based support for the design and creation of engineering products. Dr. Weimer obtained his Ph.D. in Computer Science from Rice University.