Identifying flat and tubular regions of a shape by unstable manifolds
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Plumber: a method for a multi-scale decomposition of 3D shapes into tubular primitives and bodies
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Pose-Oblivious Shape Signature
IEEE Transactions on Visualization and Computer Graphics
Reeb graphs for shape analysis and applications
Theoretical Computer Science
Describing shapes by geometrical-topological properties of real functions
ACM Computing Surveys (CSUR)
Randomized cuts for 3D mesh analysis
ACM SIGGRAPH Asia 2008 papers
3D Mesh Exploration for Smart Visual Interfaces
VISUAL '08 Proceedings of the 10th international conference on Visual Information Systems: Web-Based Visual Information Search and Management
Complex Fiedler Vectors for Shape Retrieval
SSPR & SPR '08 Proceedings of the 2008 Joint IAPR International Workshop on Structural, Syntactic, and Statistical Pattern Recognition
A benchmark for 3D mesh segmentation
ACM SIGGRAPH 2009 papers
Technical Section: Semantics-driven best view of 3D shapes
Computers and Graphics
3D Mesh decomposition using Reeb graphs
Image and Vision Computing
Computer Graphics in Italy: Computational methods for understanding 3D shapes
Computers and Graphics
From geometric to semantic human body models
Computers and Graphics
Spectral-Driven Isometry-Invariant Matching of 3D Shapes
International Journal of Computer Vision
3D shape retrieval based on best view selection
Proceedings of the ACM workshop on 3D object retrieval
Feature-preserving mesh denoising based on vertices classification
Computer Aided Geometric Design
Local Orthogonal Cutting Method for Computing Medial Curves and Its Biomedical Applications
SIAM Journal on Scientific Computing
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
SMI 2011: Full Paper: Parallel computation of spherical parameterizations for mesh analysis
Computers and Graphics
Semi-supervised segmentation of 3D surfaces using a weighted graph representation
GbRPR'11 Proceedings of the 8th international conference on Graph-based representations in pattern recognition
Feature detection using curvature maps and the min-cut/max-flow algorithm
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Towards locally and globally shape-aware reverse 3D modeling
Computer-Aided Design
SMI 2012: Short Stable volumetric features in deformable shapes
Computers and Graphics
Sketch-based mesh cutting: A comparative study
Graphical Models
A graph-based technique for semi-supervised segmentation of 3D surfaces
Pattern Recognition Letters
The fast reject schema for part-in-whole 3D shape matching
EG 3DOR'10 Proceedings of the 3rd Eurographics conference on 3D Object Retrieval
Local shape descriptors, a survey and evaluation
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
A framework for 3D object retrieval algorithm analysis
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
Key-component detection on 3D meshes using local features
EG 3DOR'12 Proceedings of the 5th Eurographics conference on 3D Object Retrieval
SHREC'12 track: 3D mesh segmentation
EG 3DOR'12 Proceedings of the 5th Eurographics conference on 3D Object Retrieval
Exploiting 3d part-based analysis, description and indexing to support medical applications
MCBR-CDS'12 Proceedings of the Third MICCAI international conference on Medical Content-Based Retrieval for Clinical Decision Support
Key-components: detection of salient regions on 3D meshes
The Visual Computer: International Journal of Computer Graphics
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Tools for the automatic decomposition of a surface into shape features will facilitate the editing, matching, texturing, morphing, compression and simplification of three-dimensional shapes. Different features, such as flats, limbs, tips, pits and various blending shapes that transition between them, may be characterized in terms of local curvature and other differential properties of the surface or in terms of a global skeletal organization of the volume it encloses. Unfortunately, both solutions are extremely sensitive to small perturbations in surface smoothness and to quantization effects when they operate on triangulated surfaces. Thus, we propose a multi-resolution approach, which not only estimates the curvature of a vertex over neighborhoods of variable size, but also takes into account the topology of the surface in that neighborhood. Our approach is based on blowing a spherical bubble at each vertex and studying how the intersection of that bubble with the surface evolves. We describe an efficient approach for computing these characteristics for a sampled set of bubble radii and for using them to identify features, based on easily formulated filters, that may capture the needs of a particular application.