Browsing Image-A : Applicable Mathematics in Image Engineering by Issue Date
Now showing items 1-20 of 44
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Proceedings of the Workshop on Computational Topology in Image Context 2010
(2010)It has been an honor and a pleasure to organize the 3rd International Workshop on Computational Topology in Image Context, ...
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Computing The Cubical Cohomology Ring (Extended Abstract)
(Universidad de Sevilla, 2010)The goal of this work is to establish a new algorithm for computing the cohomology ring of cubical complexes. The cubical ...
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Human gait recognition using topological information
(Universidad de Sevilla, 2010)This paper shows an image/video application using topological invariants in human gait recognition. The 3D volume of a ...
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On the Recognition of Tori Embedded in R3
(Universidad de Sevilla, 2010)Many known algorithms allow us to topologically recognize surfaces in 3D images. However, none of them permits us to ...
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Improved Locally Adaptive Sampling Criterion for Topology Preserving Reconstruction of Multiple Regions
(Universidad de Sevilla, 2010)Volume based digitization processes often deal with non-manifold shapes. Even though many reconstruction algorithms have ...
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Image Segmentation Inspired by Cellular Models using hardware programming
(Universidad de Sevilla, 2010)Several features of image segmentation make it suitable for bio–inspired techniques. It can be parallelized, locally solved ...
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Counting excellent discrete Morse functions on compact orientable surfaces
(Universidad de Sevilla, 2010)We obtain the number of non-homologically equivalent excellent discrete Morse functions defined on compact orientable surfaces. This work is a continuation of the study which has been done in [2, 4] for graphs.
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Combining regular decimation and dual graph contraction for hierarchical image segmentation
(Universidad de Sevilla, 2010)The Bounded Irregular Pyramid (BIP) is a hierarchical structure for image representation whose aim is to combine concepts ...
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Tracking features in image sequences using discrete Morse functions
(Universidad de Sevilla, 2010)The goal of this contribution is to present an application of discrete Morse theory to tracking features in image sequences. ...
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Invariant Spectral Hashing of Image Saliency Graph
(Universidad de Sevilla, 2010)Image hashing is the process of associating a short vector of bits to an image. The resulting summaries are useful in many ...
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Topology-preserving perceptual segmentation using the Combinatorial Pyramid
(Universidad de Sevilla, 2010)Scene understanding and other high-level visual tasks usually rely on segmenting the captured images for dealing with a ...
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Algorithm to Compute a Minimal Length Basis of Representative Cocycles of Cohomology Generators
(Universidad de Sevilla, 2010)An algorithm to compute a minimal length basis of representative cocycles of cohomology generators for 2D images is proposed. ...
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Strong separating (k, k)−surfaces on Z3
(Universidad de Sevilla, 2010)For each adjacency pair (k, k) != (6, 6), k, k ∈ {6, 18, 26}, we introduce a new family Skk of surfaces in the discrete ...
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Persistent homology and partial matching of shapes
(Universidad de Sevilla, 2010)The ability to perform not only global matching but also partial matching is in-vestigated in computer vision and computer ...
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Towards optimality in discrete Morse Theory through chain homotopies
(Universidad de Sevilla, 2010)Once a discrete Morse function has been defined on a finite cell complex, information about its homology can be deduced ...
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Perfect discrete Morse functions on 2-complexes
(Universidad de Sevilla, 2010)This paper is focused on the study of perfect discrete Morse functions on a 2-simplicial complex. These are those discrete ...
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Obtaining cell complexes associated to four dimensional digital objects
(Universidad de Sevilla, 2010)In this paper, we determine a cell complex representation of a 80–adjacent doxelbased 4-dimensional object. The homological ...
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The efficiency of a homology algorithm based on discrete morse theory and coreductions (extended abstract)
(Universidad de Sevilla, 2010)Two implementations of a homology algorithm based on the Forman’s discrete Morse theory combined with the coreduction method are presented. Their efficiency is compared with other implementations of homology algorithms.
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Mereotopological Patterns for Ontology Evolution and Debugging
(Universidad de Sevilla, 2010)In this paper the foundational principles and the application of a mereotopological theory, the Region Connection Calculus, ...
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A fast algorithm to compute cohomology group generators of orientable 2-manifolds
(Universidad de Sevilla, 2010)In this paper a fast algorithm to compute cohomology group generators of cellular decomposition of any orientable closed ...