Regularization of inverse visual problems involving discontinuities
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
A multisided generalization of Bézier surfaces
ACM Transactions on Graphics (TOG)
A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Free-form shape design using triangulated surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Hierarchical and variational geometric modeling with wavelets
I3D '95 Proceedings of the 1995 symposium on Interactive 3D graphics
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Multiresolution analysis for surfaces of arbitrary topological type
ACM Transactions on Graphics (TOG)
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Interactive multiresolution mesh editing
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Subdivision surfaces in character animation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
A multiresolution framework for variational subdivision
ACM Transactions on Graphics (TOG)
Interpolating nets of curves by smooth subdivision surfaces
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Combined subdivision schemes for the design of surfaces satisfying boundary conditions
Computer Aided Geometric Design
Hierarchical B-spline refinement
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Multiresolution Constraints for Designing Subdivision Surfaces via Local Smoothing
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Multiresolution Constraints for Designing Subdivision Surfaces via Local Smoothing
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
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Subdivision surfaces provide an efficient means of representing surfaces of arbitrary topological type. In recent years, multi-resolution modeling with variational smoothing has played an important role in controlling such surfaces. This paper presents a new model of multi-resolution constraints that can be applied to subdivision surfaces. The advantage of this model is that different geometric constraints can be imposed on the surfaces at different resolution levels. The model employs the wavelet-based framework of Lounsbery, et al. to represent the subdivision surfaces in a hierarchical fashion. In the proposed framework, local smooth filtering is used to obtain the optimal surface shape at each resolution level. Controlling the number of iterations for the local smoothing operations allows us to modify the smoothness of the subdivision surfaces even when the same set of constraints is given. Several design examples are included to demonstrate the capability of this model.