Simple random generation of smooth connected irregular shapes for cognitive studies
Proceedings of The Fourth International C* Conference on Computer Science and Software Engineering
Preserving geometric properties in reconstructing regions from internal and nearby points
Computational Geometry: Theory and Applications
Smoothness of Boundaries of Regular Sets
Journal of Mathematical Imaging and Vision
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This work addresses the problem of shape preserving digitization in finite dimensional spaces. The book gives an overview of existing approaches for sampling and reconstructing objects without changing certain topological properties and extends these results in various ways. First, the previously often used object class of r-regular sets is generalized to more realistic shapes. Second, a detailed overview about different sampling grids and sampling methods is given, including sampling under the influence of noise and blurring effects. It follows an analysis of different common reconstruction methods regarding their geometrical and topological properties. Finally, several new sampling theorems are derived from a deep investigation of the different combinations of shapes, samplings and reconstruction methods. Wherever possible, the results are proved for objects of arbitrary dimension.IOS Press is an international science, technical and medical publisher of high-quality books for academics, scientists, and professionals in all fields. Some of the areas we publish in: -Biomedicine -Oncology -Artificial intelligence -Databases and information systems -Maritime engineering -Nanotechnology -Geoengineering -All aspects of physics -E-governance -E-commerce -The knowledge economy -Urban studies -Arms control -Understanding and responding to terrorism -Medical informatics -Computer Sciences