The concept of 'shape' is at the heart of image processing and computer vision, yet researchers still have some way to go to replicate the human brain's ability to extrapolate meaning from the most basic of outlines. This volume reflects the advances of the last decade, which have also opened up tough new challenges in image processing. Today's applications require flexible models as well as efficient, mathematically justified algorithms that allow data processing within an acceptable timeframe.
Examining important topics in continuous-scale and discrete modeling, as well as in modern algorithms, the book is the product of a key seminar focused on innovations in the field. It is a thorough introduction to the latest technology, especially given the tutorial style of a number of chapters. It also succeeds in identifying promising avenues for future research. The topics covered include mathematical morphology, skeletonization, statistical shape modeling, continuous-scale shape models such as partial differential equations and the theory of discrete shape descriptors. Some authors highlight new areas of enquiry such as partite skeletons, multi-component shapes, deformable shape models, and the use of distance fields.
Combining the latest theoretical analysis with cutting-edge applications, this book will attract both academics and engineers.
Author(s): Lidija Čomić, Leila De Floriani, Federico Iuricich (auth.), Michael Breuß, Alfred Bruckstein, Petros Maragos (eds.)
Series: Mathematics and Visualization
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2013
Language: English
Pages: 496
Tags: Visualization; Computer Imaging, Vision, Pattern Recognition and Graphics; Computational Mathematics and Numerical Analysis
Front Matter....Pages i-xxiv
Front Matter....Pages 1-1
Modeling Three-Dimensional Morse and Morse-Smale Complexes....Pages 3-34
Geodesic Regression and Its Application to Shape Analysis....Pages 35-52
Segmentation and Skeletonization on Arbitrary Graphs Using Multiscale Morphology and Active Contours....Pages 53-75
Refined Homotopic Thinning Algorithms and Quality Measures for Skeletonisation Methods....Pages 77-92
Nested Sphere Statistics of Skeletal Models....Pages 93-115
3D Curve Skeleton Computation and Use for Discrete Shape Analysis....Pages 117-136
Orientation and Anisotropy of Multi-component Shapes....Pages 137-157
Front Matter....Pages 159-159
Stable Semi-local Features for Non-rigid Shapes....Pages 161-189
A Brief Survey on Semi-Lagrangian Schemes for Image Processing....Pages 191-218
Shape Reconstruction of Symmetric Surfaces Using Photometric Stereo....Pages 219-243
Remeshing by Curvature Driven Diffusion....Pages 245-262
Group-Valued Regularization for Motion Segmentation of Articulated Shapes....Pages 263-281
Point Cloud Segmentation and Denoising via Constrained Nonlinear Least Squares Normal Estimates....Pages 283-299
Distance Images and the Enclosure Field: Applications in Intermediate-Level Computer and Biological Vision....Pages 301-323
Front Matter....Pages 325-325
Non-rigid Shape Correspondence Using Pointwise Surface Descriptors and Metric Structures....Pages 327-342
A Review of Geometry Recovery from a Single Image Focusing on Curved Object Reconstruction....Pages 343-378
On Globally Optimal Local Modeling: From Moving Least Squares to Over-parametrization....Pages 379-405
Incremental Level Set Tracking....Pages 407-420
Simultaneous Convex Optimization of Regions and Region Parameters in Image Segmentation Models....Pages 421-438
Fluctuating Distance Fields, Parts, Three-Partite Skeletons....Pages 439-466
Front Matter....Pages 325-325
Integrated DEM Construction and Calibration of Hyperspectral Imagery: A Remote Sensing Perspective....Pages 467-492
Back Matter....Pages 493-496
