Tree Structure for Contractible Regions in R3
International Journal of Computer Vision
Swept regions and surfaces: Modeling and volumetric properties
Theoretical Computer Science
Retrieving articulated 3-D models using medial surfaces
Machine Vision and Applications
Describing shapes by geometrical-topological properties of real functions
ACM Computing Surveys (CSUR)
Contour Grouping Based on Contour-Skeleton Duality
International Journal of Computer Vision
Curve skeleton extraction from incomplete point cloud
ACM SIGGRAPH 2009 papers
b-morphs between b-compatible curves in the plane
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Speculation on the generality of the backward stepwise view of PCA
Proceedings of the international conference on Multimedia information retrieval
Geometrically proper models in statistical training
IPMI'07 Proceedings of the 20th international conference on Information processing in medical imaging
Analysis, reconstruction and manipulation using arterial snakes
ACM SIGGRAPH Asia 2010 papers
Interior Medial Axis Transform computation of 3D objects bound by free-form surfaces
Computer-Aided Design
Towards a proposal for a vessel knowledge representation model
KES'10 Proceedings of the 14th international conference on Knowledge-based and intelligent information and engineering systems: Part IV
Sampled medial loci for 3D shape representation
Computer Vision and Image Understanding
Measuring 3D shape similarity by graph-based matching of the medial scaffolds
Computer Vision and Image Understanding
Shells and spheres: an n-dimensional framework for medial-based image segmentation
Journal of Biomedical Imaging - Special issue on mathematical methods for images and surfaces
Bone graphs: Medial shape parsing and abstraction
Computer Vision and Image Understanding
A family of topology-preserving 3D parallel 6-subiteration thinning algorithms
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
Using the skeleton for 3D object decomposition
SCIA'11 Proceedings of the 17th Scandinavian conference on Image analysis
Hand geometry analysis by continuous skeletons
ICIAR'11 Proceedings of the 8th international conference on Image analysis and recognition - Volume Part II
Graph-based representations of point clouds
Graphical Models
The complex wave representation of distance transforms
EMMCVPR'11 Proceedings of the 8th international conference on Energy minimization methods in computer vision and pattern recognition
Curve-skeletons based on the fat graph approximation
ACIVS'11 Proceedings of the 13th international conference on Advanced concepts for intelligent vision systems
Blends of canal surfaces from polyhedral medial transform representations
Computer-Aided Design
Computing medial axes of generic 3D regions bounded by B-spline surfaces
Computer-Aided Design
Spaces and manifolds of shapes in computer vision: An overview
Image and Vision Computing
Computer Graphics Forum
Generalized Swept Mid-structure for Polygonal Models
Computer Graphics Forum
Sufficient conditions for order-independency in sequential thinning
Acta Cybernetica
Computer Graphics Forum
Parallel skeletonizing of digital images by using cellular automata
CTIC'12 Proceedings of the 4th international conference on Computational Topology in Image Context
Research on 3D medial axis transform via the saddle point programming method
Computer-Aided Design
A general approach to model biomedical data from 3D unorganised point clouds with medial scaffolds
EG VCBM'10 Proceedings of the 2nd Eurographics conference on Visual Computing for Biology and Medicine
Model-based solid texture synthesis for anatomic volume illustration
EG VCBM'10 Proceedings of the 2nd Eurographics conference on Visual Computing for Biology and Medicine
3D parallel thinning algorithms based on isthmuses
ACIVS'12 Proceedings of the 14th international conference on Advanced Concepts for Intelligent Vision Systems
On the Local Form and Transitions of Pre-symmetry Sets
Journal of Mathematical Imaging and Vision
Topological maps and robust hierarchical Euclidean skeletons in cubical complexes
Computer Vision and Image Understanding
L1-medial skeleton of point cloud
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Skeleton extraction of vertex sets lying on arbitrary triangulated 3d meshes
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
Skeletal representations of orthogonal shapes
Graphical Models
IPMI'13 Proceedings of the 23rd international conference on Information Processing in Medical Imaging
Progressive medial axis filtration
SIGGRAPH Asia 2013 Technical Briefs
Coarse-to-fine skeleton extraction for high resolution 3D meshes
Computer Vision and Image Understanding
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The last half century has seen the development of many biological or physical theories that have explicitly or implicitly involved medial descriptions of objects and other spatial entities in our world. Simultaneously, mathematicians have studied the properties of these skeletal descriptions of shape, and, stimulated by the many areas where medial models are useful, computer scientists and engineers have developed numerous algorithms for computing and using these models. The book consists of an introductory chapter, two chapters on the major mathematical results on medial representations, five chapters on algorithms for extracting medial models from boundary or binary image descriptions of objects, and three chapters on applications in image analysis and other areas of study and design. This book will serve the science and engineering communities using medial models and will provide learning material for students entering this field.