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" Research in shape analysis : "
Asli Genctav [and others], editors.
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BL
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| Record Number
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865317
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WiSH (Workshop)(2nd :2016 :, Sirince, Turkey)
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| Title & Author
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Research in shape analysis : : WiSH2, Sirince, Turkey, June 2016 /\ Asli Genctav [and others], editors.
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| Publication Statement
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Cham :: Springer,, 2018.
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| Series Statement
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Association for women in mathematics series ;; v. 12
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1 online resource
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| ISBN
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3319770667
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: 9783319770666
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3319770659
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9783319770659
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| Contents
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Intro; Preface; Workshop Participants and Affiliations at the Time of the Workshop; Introduction; Contents; 1 Medial Fragments for Segmentation of Articulating Objects in Images; 1.1 Introduction; 1.2 Background and Related Work; 1.3 Methods; 1.4 Results and Discussion; References; 2 Scaffolding a Skeleton; 2.1 Introduction; 2.2 Related Work; 2.3 Construction Outline; 2.4 Partitioning the Sphere at a Branching Point; 2.4.1 Minimum Number of Vertices of Faces on the Sphere; 2.4.2 Algorithm to Partition the Sphere into Quadrangles; 2.5 Constructing Sleeves Around Skeleton Edges.
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2.5.1 Algorithm: Creating a Sleeve Along the Branch2.5.1.1 Defining a Frame at v0; 2.5.1.2 Branches Ending at Extremities; 2.5.1.3 Branches Ending at Another Branch Point; 2.5.1.4 Generating the Scaffold Mesh; 2.6 Implementation and Results; 2.7 Conclusion, Limitations, and Future Work; References; 3 Convolution Surfaces with Varying Radius: Formulae for Skeletons Made of Arcs of Circles and Line Segments; 3.1 Introduction; 3.2 Convolution Surfaces; 3.2.1 Kernels; 3.2.2 Notations; 3.2.3 Convolution of Regular Curves; 3.2.4 Discussion on the Choice of a Kernel; 3.2.5 Varying Thickness.
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3.2.5.1 Varying Radius as Proposed by Hornus et al. 3.2.5.2 SCALIS as Proposed by Zanni et al.; 3.3 Determining General Closed-Form Formulae Through Recurrence; 3.3.1 Creative Telescoping; 3.3.2 Practical Use; 3.4 Convolution with Line Segments; 3.4.1 Integrals for Convolution; 3.4.2 Closed Forms Through Recurrence Formulae; 3.5 Convolution with Arcs of Circle; 3.5.1 Rational Parametrization; 3.5.2 Integrals for Convolution; 3.5.3 Closed Forms Through Recurrence Formulae; 3.6 Application and Outlook; 3.7 Conclusion; References; 4 Exploring 2D Shape Complexity; 4.1 Introduction.
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4.1.1 Prior Work on Shape Complexity4.1.2 Our Contribution; 4.2 Defining Complexity; 4.2.1 Qualitative Complexity; 4.2.1.1 Construction Definition; 4.2.1.2 Predictability Definition; 4.2.2 Evaluating Quantitative Measures of Complexity; 4.3 Measures; 4.3.1 Shape Database; 4.3.2 Global Measures; 4.3.2.1 Skeleton Measures; 4.3.3 Sampling-Based Measures; 4.3.3.1 Boundary Downsampling; 4.3.3.2 Area Downsampling; 4.3.3.3 Boundary Measures; 4.3.3.4 Moment Measures; 4.3.3.5 Area Measures; 4.4 Clustering; 4.5 Discussion; 4.5.1 Discussion of Methodology and Future Work; References.
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| Abstract
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Based on the second Women in Shape (WiSH) workshop held in Sirince, Turkey in June 2016, these proceedings offer the latest research on shape modeling and analysis and their applications. The 10 peer-reviewed articles in this volume cover a broad range of topics, including shape representation, shape complexity, and characterization in solving image-processing problems. While the first six chapters establish understanding in the theoretical topics, the remaining chapters discuss important applications such as image segmentation, registration, image deblurring, and shape patterns in digital fabrication. The authors in this volume are members of the WiSH network and their colleagues, and most were involved in the research groups formed at the workshop. This volume sheds light on a variety of shape analysis methods and their applications, and researchers and graduate students will find it to be an invaluable resource for further research in the area.
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| Subject
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Shape theory (Topology), Congresses.
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Shapes, Congresses.
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MATHEMATICS-- Geometry-- General.
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Shape theory (Topology)
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Shapes.
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Mathematics.
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Mathematical Modeling and Industrial Mathematics.
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Numerical Analysis.
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| Dewey Classification
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516/.15
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| LC Classification
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QA445
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| Added Entry
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Genctav, Asli.
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| Parallel Title
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WiSH2
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