Solid shape
Introduction to algorithms
Morphological Shape Decomposition
IEEE Transactions on Pattern Analysis and Machine Intelligence
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Surface shape and curvature scales
Image and Vision Computing
Parts of Visual Form: Computational Aspects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Journal of Mathematical Imaging and Vision
Threshold decomposition of gray-scale soft morphology into binary soft morphology
Graphical Models and Image Processing
COSMOS-A Representation Scheme for 3D Free-Form Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
A feature-based approach for smooth surfaces
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
3D Part Segmentation Using Simulated Electrical Charge Distributions
IEEE Transactions on Pattern Analysis and Machine Intelligence
Decomposing polygon meshes for interactive applications
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Optimizing 3D triangulations using discrete curvature analysis
Mathematical Methods for Curves and Surfaces
Three-Dimensional Object Recognition from Range Images
Three-Dimensional Object Recognition from Range Images
An Algorithm for the Medial Axis Transform of 3D Polyhedral Solids
IEEE Transactions on Visualization and Computer Graphics
Partitioning 3D Surface Meshes Using Watershed Segmentation
IEEE Transactions on Visualization and Computer Graphics
Cutting and Stitching: Converting Sets of Polygons to Manifold Surfaces
IEEE Transactions on Visualization and Computer Graphics
Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
Constructing a Reeb graph automatically from cross sections
IEEE Computer Graphics and Applications
Scale-space representation of 3D models and topological matching
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Hierarchical mesh decomposition using fuzzy clustering and cuts
ACM SIGGRAPH 2003 Papers
Affine-Invariant Skeleton of 3D Shapes
SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
Pattern Classification (2nd Edition)
Pattern Classification (2nd Edition)
Digital Image Processing (3rd Edition)
Digital Image Processing (3rd Edition)
Efficient morphological shape representation
IEEE Transactions on Image Processing
Artwork 3D model database indexing and classification
Pattern Recognition
3D curvature-based shape descriptors for face segmentation: an anatomical-based analysis
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part III
Multiple 3D Medical Data Watermarking for Healthcare Data Management
Journal of Medical Systems
Variational mesh segmentation via quadric surface fitting
Computer-Aided Design
Markov random fields for improving 3D mesh analysis and segmentation
EG 3DOR'08 Proceedings of the 1st Eurographics conference on 3D Object Retrieval
Key-dependent 3D model hashing for authentication using heat kernel signature
Digital Signal Processing
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A new parameter-free graph morphology based segmentation algorithm is proposed to address the problem of partitioning a 3D triangular mesh into disjoint sub- eshes that correspond to the physical parts of the underlying object. Curvedness, which is a rotation and translation invariant shape descriptor, is computed at every vertex in the input triangulation. Iterative graph dilation and morphological filtering of the outlier curvedness values result in multiple, disjoint, maximally connected sub-meshes such that each sub-mesh contains a set of vertices with similar curvedness values, and vertices in disjoint sub-meshes have significantly different curvedness values. Experimental evaluations using the triangulations of a number of complex objects demonstrate the robustness and the efficiency of the proposed algorithm and the results prove that it compares well with a number of state-of-the-art mesh segmentation algorithms.