A unified approach to geometric modelling
SIGGRAPH '78 Proceedings of the 5th annual conference on Computer graphics and interactive techniques
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)
Interactive techniques for implicit modeling
I3D '90 Proceedings of the 1990 symposium on Interactive 3D graphics
Closed smooth piecewise bicubic surfaces
ACM Transactions on Graphics (TOG)
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
Free-form deformations with lattices of arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd 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
Blending, smoothing and interpolation of irregular meshes using N-sided Varady patches
Proceedings of the fifth ACM symposium on Solid modeling and applications
Piecewise smooth subdivision surfaces with normal control
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Towards hardware implementation of loop subdivision
HWWS '00 Proceedings of the ACM SIGGRAPH/EUROGRAPHICS workshop on Graphics hardware
Blending parametric patches with subdivision surfaces
Journal of Computer Science and Technology
Scattered Data Techniques for Surfaces
Dagstuhl '97, Scientific Visualization
Smooth surface representation over irregular meshes
Handbook of computer animation
Subdivision Surface Fitting to a Range of Points
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
A new and direct approach for loop subdivision surface fitting
Geometric modeling
Interpolation over Arbitrary Topology Meshes Using a Two-Phase Subdivision Scheme
IEEE Transactions on Visualization and Computer Graphics
Towards fast and smooth subdivision surface reconstruction
International Journal of Computers and Applications
Including and optimizing shape parameters in Doo-Sabin subdivision surfaces for interpolation
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Approximating Catmull-Clark subdivision surfaces with bicubic patches
ACM Transactions on Graphics (TOG)
Deducing interpolating subdivision schemes from approximating subdivision schemes
ACM SIGGRAPH Asia 2008 papers
Generating Sharp Features on Non-regular Triangular Meshes
ICCS '08 Proceedings of the 8th international conference on Computational Science, Part II
G2 tensor product splines over extraordinary vertices
SGP '08 Proceedings of the Symposium on Geometry Processing
Feature-adaptive GPU rendering of Catmull-Clark subdivision surfaces
ACM Transactions on Graphics (TOG)
A marching method for computing intersection curves of two subdivision solids
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
C2 Continuous spline surfaces over Catmull-Clark meshes
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
Weighted progressive interpolation of Loop subdivision surfaces
Computer-Aided Design
Construction of minimal catmull-clark's subdivision surfaces with given boundaries
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
An alternative method for constructing interpolatory subdivision from approximating subdivision
Computer Aided Geometric Design
Computer Aided Geometric Design
Technical note: A technical note on the geometric representation of a ship hull form
Computer-Aided Design
Interpolating meshes of boundary intersecting curves by subdivision surfaces
The Visual Computer: International Journal of Computer Graphics
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One of the central issues in computer-aided geometric design is the representation of free-form surfaces which are needed for many purposes in engineering and science. Several limitations are imposed on most available surface systems: the rectangularity of the network describing a surface and the manipulation of surfaces without regard to the volume enclosed are examples. Polyhedral subdivision methods suggest themselves as a solution to these problems. Their use, however, is not widespread for several reasons such as the lack of boundary control, and interpolation and interrogation capabilities.In this paper the original work on subdivision methods is extended to overcome these problems. Two methods are described, one for controlling the boundary curves of such surfaces, and another for interpolating points on irregular networks. A general surface/surface intersection algorithm is also provided: seven decisions need to be made in order to specify a particular implementation. The algorithm is also suitable for intersecting other classes of surfaces amongst which are the popular Bézier and B-spline surfaces.