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
Automatic reconstruction of B-spline surfaces of arbitrary topological type
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Surface simplification using quadric error metrics
Proceedings of the 24th 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
Displaced subdivision surfaces
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Approximate Boolean operations on free-form solids
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Rapid evaluation of Catmull-Clark subdivision surfaces
Proceedings of the seventh international conference on 3D Web technology
Designing Fair Curves and Surfaces: Shape Quality in Geometric Modeling and Computer-Aided Design
Designing Fair Curves and Surfaces: Shape Quality in Geometric Modeling and Computer-Aided Design
Curve and Surface Fitting: Saint-Malo 1999
Curve and Surface Fitting: Saint-Malo 1999
Proceedings of the conference on Visualization '01
Direct reconstruction of a displaced subdivision surface from unorganized points
Graphical Models - Pacific graphics 2001
GRIN'01 No description on Graphics interface 2001
Catmull-Clark Surface Fitting for Reverse Engineering Applications
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
Subdivision Surface Fitting from a Dense Triangle Mesh
GMP '02 Proceedings of the Geometric Modeling and Processing — Theory and Applications (GMP'02)
Subdivision Surface Fitting to a Range of Points
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
PG '00 Proceedings of the 8th Pacific Conference on Computer Graphics and Applications
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Stationary subdivision and multiresolution surface representations
Stationary subdivision and multiresolution surface representations
A concept for parametric surface fitting which avoids the parametrization problem
Computer Aided Geometric Design
Fitting Subdivision Surfaces to Unorganized Point Data Using SDM
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Trimming for subdivision surfaces
Computer Aided Geometric Design
Interpolation by geometric algorithm
Computer-Aided Design
Technical Section: Subdivision surface watermarking
Computers and Graphics
Feature-based subdivision surface fitting
ACM SIGGRAPH 2007 posters
Technical Section: Fourier method for large-scale surface modeling and registration
Computers and Graphics
Fitting sharp features with loop subdivision surfaces
SGP '08 Proceedings of the Symposium on Geometry Processing
A watermarking framework for subdivision surfaces
MRCS'06 Proceedings of the 2006 international conference on Multimedia Content Representation, Classification and Security
SMI 2012: Short A revisit to fitting parametric surfaces to point clouds
Computers and Graphics
| Hi-index | 0.00 |
We present a method for scattered data approximation with subdivision surfaces which actually uses the true representation of the limit surface as a linear combination of smooth basis functions associated with the control vertices. A robust and fast algorithm for exact closest point search on Loop surfaces which combines Newton iteration and non-linear minilnization is used for parameterizing the samples. Based on this we perform unconditionally convergent parameter correction to optimize the approximation with respect to the L2 metric, and thus we make a well-established scattered data fitting technique which has been available before only for B-spline surfaces, applicable to subdivision surfaces. We also adapt the recently discovered local second order squared distance function approximant to the parameter correction setup. Further we exploit the fact that the control mesh of a subdivision surface can have arbitrary connectivity to reduce the L2 error up to a certain user-defined tolerance by adaptively restructuring the control mesh. Combining the presented algorithms we describe a complete procedure which is able to produce high-quality approximations of complex, detailed models.