Polyhedral subdivision methods for free-form surfaces
ACM Transactions on Graphics (TOG)
Conditions for tangent plane continuity over recursively generated B-spline surfaces
ACM Transactions on Graphics (TOG)
Automatic construction of surfaces with prescribed shape
Computer-Aided Design - Special issue on the shape of surfaces
Constrained B-spline curve and surface fitting
Computer-Aided Design
A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
Optimal approximate conversion of spline surfaces
Computer Aided Geometric Design
Parameter optimization in approximating curves and surfaces to measurement data
Computer Aided Geometric Design
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
Interpolating Subdivision for meshes with arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Fitting smooth surfaces to dense polygon meshes
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Automatic reconstruction of B-spline surfaces of arbitrary topological type
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Triangular mesh modelling for archaeological applications
GMCAD '96 Proceedings of the fifth IFIP TC5/WG5.2 international workshop on geometric modeling in computer aided design on Product modeling for computer integrated design and manufacture
Subdivision surfaces in character animation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Direct reconstruction of a displaced subdivision surface from unorganized points
Graphical Models - Pacific graphics 2001
A new and direct approach for loop subdivision surface fitting
Geometric modeling
Optimization methods for scattered data approximation with subdivision surfaces
Graphical Models - Solid modeling theory and applications
Modeling with multiresolution subdivision surfaces
ACM SIGGRAPH 2006 Courses
Optimization techniques for approximation with subdivision surfaces
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Interpolation by geometric algorithm
Computer-Aided Design
Technical Section: Subdivision surface watermarking
Computers and Graphics
Generating subdivision surfaces from profile curves
Computer-Aided Design
Subdivision surfaces for CAD-an overview
Computer-Aided Design
Chaos & Graphics: A recursive subdivision scheme for isosurface construction
Computers and Graphics
Fitting subdivision surface models to noisy and incomplete 3-D data
MIRAGE'07 Proceedings of the 3rd international conference on Computer vision/computer graphics collaboration techniques
LSM: A layer subdivision method for deformable object matching
Information Sciences: an International Journal
Meshes simplification based on reverse subdivision
ICAT'06 Proceedings of the 16th international conference on Advances in Artificial Reality and Tele-Existence
Weighted progressive interpolation of Loop subdivision surfaces
Computer-Aided Design
3D imaging application in the studies of micro air vehicles
Computers in Industry
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The objective of this research is to apply the subdivision surface for surface fitting problems when generating surfaces from data points or polyhedral models. The basic idea is to use the subdivision limit position (SLP) to adapt the control mesh of the subdivision surface to the data points. This method is not a time consuming process involving global optimization. It does, however, fail to capture local characteristics of data points. Consequently, the proposed method is not suitable for generating a surface that precisely interpolates the data points, but it will be useful for quickly generating a surface that captures the overall shape constituted by the data points. A prototype system has been developed to demonstrate several examples for purposes of evaluating the proposed method.