Online resource; title from PDF title page (EBSCO, viewed June 13, 2017).

Front Cover; Skeletonization; Copyright; Contents; Contributors; About the Editors; Preface; Part 1 Theory and Methods; 1 Skeletonization and its applications -- a review; 1.1 Introduction; 1.1.1 Basic Concepts; 1.1.2 Background; 1.2 Different Approaches of Skeletonization; 1.2.1 Geometric Approaches; 1.2.2 Curve Propagation Approaches; 1.2.3 Digital Approaches; Quench Points; 1.3 Topology Preservation; 1.4 Pruning; 1.5 Multiscale Skeletonization; 1.6 Parallelization; 1.6.1 Subiterative Parallelization Schemes; 1.6.2 Parallelization Using Minimal Nonsimple Sets

1.6.3 Parallelization Using P-Simple Points1.7 Applications; 1.8 Performance Evaluation; 1.9 Conclusions; References; 2 Multiscale 2D medial axes and 3D surface skeletons by the image foresting transform; 2.1 Introduction; 2.2 Related Work; 2.2.1 Definitions; 2.2.2 Skeleton Regularization; 2.3 Proposed Method; 2.3.1 Multiscale Regularization-Strengths and Weaknesses; 2.3.2 Image Foresting Transform; 2.3.2.1 Single-Point Feature Transform; 2.3.2.2 Shortest-Path Length Computation; 2.3.3 Multiscale Skeletonization-Putting It All Together; 2.4 Comparative Analysis; 2.4.1 2D Medial Axes

2.4.2 3D Medial Surfaces2.4.2.1 Global Comparison; 2.4.2.2 Detailed Comparison; 2.5 Conclusion; References; 3 Fuzzy skeleton and skeleton by influence zones: a review; 3.1 Introduction; 3.2 Distance-Based Approaches; 3.3 Morphological Approaches to Compute the Centers of Maximal Balls; 3.4 Morphological Thinning; 3.5 Fuzzy Skeleton of Influence Zones; 3.5.1 Definition Based on Fuzzy Dilations; 3.5.2 Definitions Based on Distances; 3.5.3 Illustrative Example (Reproduced from [8]); 3.6 Conclusion; References; 4 Unified part-patch segmentation of mesh shapes using surface skeletons

4.1 Introduction4.2 Related Work; 4.2.1 Skeletonization; 4.2.2 Shape Segmentation; 4.2.2.1 Part-Based Segmentation; 4.2.2.2 Patch-Based Segmentation; 4.2.3 Summary of Challenges; 4.3 Method; 4.3.1 Preliminaries; 4.3.2 Regularized Surface Skeleton Computation; 4.3.3 Cut-Space Computation; 4.3.4 Cut-Space Partitioning; 4.3.4.1 Histogram Valley Detection; 4.3.4.2 Histogram-Based Cut Space Partitioning; 4.3.5 Partitioning the Full Surface Skeleton; 4.3.6 Partition Projection to Surface; 4.3.7 Part-Based Partition Refinement; 4.3.8 Unified (Part and Patch) Segmentation

4.3.8.1 Patch-Type Segmentation Using Surface Skeletons4.3.8.2 Unification Desirable Properties; 4.3.8.3 Unification Method; 4.4 Results; 4.5 Discussion; 4.6 Conclusion; References; 5 Improving the visual aspect of the skeleton and simplifying its structure; 5.1 Introduction; 5.2 Preliminary Notions and Definitions; 5.3 Tools Improving the Visual Aspect of the Skeleton; 5.3.1 Zig-zag Straightening; 5.3.2 Fusion of Close Branch Points; 5.3.3 Pruning; 5.4 Experimental Results on the Improvement of Skeleton Visual Aspect; 5.5 Tools to Simplify Skeleton Structure; 5.5.1 Polygonal Approximation

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