Conditions for tangent plane continuity over recursively generated B-spline surfaces
ACM Transactions on Graphics (TOG)
A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
Cubic recursive division with bounded curvature
Curves and surfaces
Efficient, fair interpolation using Catmull-Clark surfaces
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
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
Interpolating Subdivision for meshes with arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
The simplest subdivision scheme for smoothing polyhedra
ACM Transactions on Graphics (TOG)
Analysis of Algorithms Generalizing B-Spline Subdivision
SIAM Journal on Numerical Analysis
Subdivision surfaces in character animation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Non-uniform recursive subdivision surfaces
Proceedings of the 25th 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
Edge and vertex insertion for a class of C1 subdivision surfaces
Computer Aided Geometric Design
Displaced subdivision surfaces
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Reversing subdivision rules: local linear conditions and observations on inner products
Journal of Computational and Applied Mathematics - Special issue/Dedicated to Prof. Larry L. Schumaker on the occasion of his 60th birthday
Approximate Boolean operations on free-form solids
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Subdivision Methods for Geometric Design: A Constructive Approach
Subdivision Methods for Geometric Design: A Constructive Approach
A Method for Analysis of C1-Continuity of Subdivision Surfaces
SIAM Journal on Numerical Analysis
Proceedings of the conference on Visualization '01
Geometric Modelling, Dagstuhl, Germany, 1996
Sharp features on multiresolution subdivision surfaces
Graphical Models - Pacific graphics 2001
Computer Aided Geometric Design
Adaptive Subdivision Curves and Surfaces
CGI '98 Proceedings of the Computer Graphics International 1998
Catmull-Clark Surface Fitting for Reverse Engineering Applications
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
Subdivision Surface Fitting to a Range of Points
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Composite primal/dual √3-subdivision schemes
Computer Aided Geometric Design
Analysis and application of subdivision surfaces
Analysis and application of subdivision surfaces
Interpolatory "2-Subdivision Surfaces
GMP '04 Proceedings of the Geometric Modeling and Processing 2004
√2 Subdivision for quadrilateral meshes
The Visual Computer: International Journal of Computer Graphics
A Factored Approach to Subdivision Surfaces
IEEE Computer Graphics and Applications
On subdivision schemes generalizing uniform B-spline surfaces of arbitrary degree
Computer Aided Geometric Design
Computer Aided Geometric Design
A unified framework for primal/dual quadrilateral subdivision schemes
Computer Aided Geometric Design
Trimming for subdivision surfaces
Computer Aided Geometric Design
A subdivision scheme for surfaces of revolution
Computer Aided Geometric Design
Non-iterative approach for global mesh optimization
Computer-Aided Design
NURBS with extraordinary points: high-degree, non-uniform, rational subdivision schemes
ACM SIGGRAPH 2009 papers
A vertex-first parametric algorithm for polyhedron blending
Computer-Aided Design
A simple and effective geometric representation for irregular porous structure modeling
Computer-Aided Design
A generalized curve subdivision scheme of arbitrary order with a tension parameter
Computer Aided Geometric Design
Technical Section: Multiresolutions numerically from subdivisions
Computers and Graphics
Modeling smooth shape using subdivision on differential coordinates
Computer-Aided Design
An overview of procedures for refining triangulations
ICCSA'12 Proceedings of the 12th international conference on Computational Science and Its Applications - Volume Part I
Subdivision surfaces integrated in a CAD system
Computer-Aided Design
A generalized surface subdivision scheme of arbitrary order with a tension parameter
Computer-Aided Design
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Subdivision surfaces refer to a class of modelling schemes that define an object through recursive subdivision starting from an initial control mesh. Similar to B-splines, the final surface is defined by the vertices of the initial control mesh. These surfaces were initially conceived as an extension of splines in modelling objects with a control mesh of arbitrary topology. They exhibit a number of advantages over traditional splines. Today one can find a variety of subdivision schemes for geometric design and graphics applications. This paper provides an overview of subdivision surfaces with a particular emphasis on schemes generalizing splines. Some common issues on subdivision surface modelling are addressed. Several key topics, such as scheme construction, property analysis, parametric evaluation and subdivision surface fitting, are discussed. Some other important topics are also summarized for potential future research and development. Several examples are provided to highlight the modelling capability of subdivision surfaces for CAD applications.