Piecewise smooth surface reconstruction
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
A unified approach to subdivision algorithms near extraordinary vertices
Computer Aided Geometric Design
A variational approach to subdivision
Computer Aided Geometric Design
Analysis of Algorithms Generalizing B-Spline Subdivision
SIAM Journal on Numerical Analysis
Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Computer Aided Geometric Design
A unified framework for primal/dual quadrilateral subdivision schemes
Computer Aided Geometric Design
A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
CHARMS: a simple framework for adaptive simulation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Composite primal/dual √3-subdivision schemes
Computer Aided Geometric Design
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Generalized B-Spline Subdivision-Surface Wavelets for Geometry Compression
IEEE Transactions on Visualization and Computer Graphics
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)
Smooth subdivision of tetrahedral meshes
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Interpolatory ternary subdivision surfaces
Computer Aided Geometric Design
Composite 2 subdivision surfaces
Computer Aided Geometric Design
Non-uniform subdivision for B-splines of arbitrary degree
Computer Aided Geometric Design
A symmetric, non-uniform, refine and smooth subdivision algorithm for general degree B-splines
Computer Aided Geometric Design
Computer-Aided Design
Selective knot insertion for symmetric, non-uniform refine and smooth B-spline subdivision
Computer Aided Geometric Design
NURBS with extraordinary points: high-degree, non-uniform, rational subdivision schemes
ACM SIGGRAPH 2009 papers
Interpolatory ternary subdivision surfaces
Computer Aided Geometric Design
Single-set and class-of-sets semantics for geometric models
Computer-Aided Design
Subdivision surfaces for CAD-an overview
Computer-Aided Design
Smooth image surface approximation by piecewise cubic polynomials
CIARP'07 Proceedings of the Congress on pattern recognition 12th Iberoamerican conference on Progress in pattern recognition, image analysis and applications
Technical Section: Multiresolutions numerically from subdivisions
Computers and Graphics
Non-uniform recursive Doo-Sabin surfaces
Computer-Aided Design
An approach for embedding regular analytic shapes with subdivision surfaces
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Composite √2 subdivision surfaces
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
A unified framework for primal/dual quadrilateral subdivision schemes
Computer Aided Geometric Design
A subdivision scheme for surfaces of revolution
Computer Aided Geometric Design
Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods
Computer Graphics Forum
Mesh connection with RBF local interpolation and wavelet transform
Proceedings of the Third Symposium on Information and Communication Technology
A unified interpolatory subdivision scheme for quadrilateral meshes
ACM Transactions on Graphics (TOG)
Local fairing with local inverse
Proceedings of Graphics Interface 2013
A generalized surface subdivision scheme of arbitrary order with a tension parameter
Computer-Aided Design
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We introduce a new class of subdivision surfaces which generalize uniform tensor product B-spline surfaces of any bi-degree to meshes of arbitrary topology. Surprisingly, this can be done using subdivision rules that involve direct neighbors only. Consequently, our schemes are very easy to implement, regardless of degree. The famous Catmull-Clark scheme is a special case. Similarly we show that triangular box splines of total degree 3m+1 can be generalized to arbitrary triangulations. Loop subdivision surfaces are a special case when m=1. Our new schemes should be of interest to the high-end design market where surfaces of bi-degree up to 7 are common.