Triangulating topological spaces
SCG '94 Proceedings of the tenth annual symposium on Computational geometry
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Texture mapping progressive meshes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Least squares conformal maps for automatic texture atlas generation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Bounded-distortion piecewise mesh parameterization
Proceedings of the conference on Visualization '02
Extracting Cylinders in Full 3D Data Using a Random Sampling Method and the Gaussian Image
VMV '01 Proceedings of the Vision Modeling and Visualization Conference 2001
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
Non-iterative, feature-preserving mesh smoothing
ACM SIGGRAPH 2003 Papers
Hierarchical mesh decomposition using fuzzy clustering and cuts
ACM SIGGRAPH 2003 Papers
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Bilateral Filtering for Gray and Color Images
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Augmented Reeb Graphs for Content-Based Retrieval of 3D Mesh Models
SMI '04 Proceedings of the Shape Modeling International 2004
Variational shape approximation
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2005 Papers
Curve skeleton skinning for human and creature characters: Research Articles
Computer Animation and Virtual Worlds - CASA 2006
Variational, meaningful shape decomposition
ACM SIGGRAPH 2006 Sketches
Curve-Skeleton Properties, Applications, and Algorithms
IEEE Transactions on Visualization and Computer Graphics
Robust on-line computation of Reeb graphs: simplicity and speed
ACM SIGGRAPH 2007 papers
Enhancing 3D mesh topological skeletons with discrete contour constrictions
The Visual Computer: International Journal of Computer Graphics
Skeleton extraction by mesh contraction
ACM SIGGRAPH 2008 papers
Curve skeleton extraction from incomplete point cloud
ACM SIGGRAPH 2009 papers
Technical Section: Discrete Laplace-Beltrami operators for shape analysis and segmentation
Computers and Graphics
A RANSAC-based approach to model fitting and its application to finding cylinders in range data
IJCAI'81 Proceedings of the 7th international joint conference on Artificial intelligence - Volume 2
Surface sampling and the intrinsic Voronoi diagram
SGP '08 Proceedings of the Symposium on Geometry Processing
Construction of Iso-Contours, Bisectors, and Voronoi Diagrams on Triangulated Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Direct solutions for computing cylinders from minimal sets of 3d points
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
Quadric surface extraction by variational shape approximation
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
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We present a new curve skeleton model designed for surface modeling and processing. This skeleton is defined as the geometrical integration of a piecewise harmonic parameterization defined over a disk-cylinder surface decomposition. This decomposition is computed using a progressive Region Graph reduction based on both geometric and topological criteria which can be iteratively optimized to improve region boundaries. The skeleton has an analytical form with regularity inherited from the surface one. Such a form offers well-defined surface-skeleton and skeleton-surface projections. The resulting skeleton satisfies quality criteria which are relevant for skeleton-based modeling and processing. We propose applications that benefit from our skeleton model, including local thickness editing, inset surface creation for shell mapping, as well as a new mid-scale feature preserving smoothing. © 2012 Wiley Periodicals, Inc.