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  • 1
    Online Resource
    Online Resource
    Optimal Urban Networks via Mass Transportation (2009)
    Berlin, Heidelberg :Springer Berlin Heidelberg,
    Details
    UID:
    almahu_9947363896102882
    Format: X, 150 p. 15 illus. , online resource.
    ISBN: 9783540857990
    Series Statement: Lecture Notes in Mathematics, 1961
    Content: Recently much attention has been devoted to the optimization of transportation networks in a given geographic area. One assumes the distributions of population and of services/workplaces (i.e. the network's sources and sinks) are known, as well as the costs of movement with/without the network, and the cost of constructing/maintaining it. Both the long-term optimization and the short-term, "who goes where" optimization are considered. These models can also be adapted for the optimization of other types of networks, such as telecommunications, pipeline or drainage networks. In the monograph we study the most general problem settings, namely, when neither the shape nor even the topology of the network to be constructed is known a priori.
    Note: Problem setting -- Optimal connected networks -- Relaxed problem and existence of solutions -- Topological properties of optimal sets -- Optimal sets and geodesics in the two-dimensional case.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9783540857983
    Language: English
    Subjects: Mathematics
    RVK:
    SI 850
    Keywords: Konferenzschrift
    DOI: 10.1007/978-3-540-85799-0
    URL: http://dx.doi.org/10.1007/978-3-540-85799-0
    URL: Volltext
    URL: lizenzpflichtig
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
    URL: Kapitel 1
    URL: Inhaltstext
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  • 2
    Online Resource
    Online Resource
    Variational Methods in Image Segmentation : with seven image processing experiments (1995)
    Boston, MA :Birkhäuser Boston,
    Details
    UID:
    almahu_9947362942802882
    Format: XVI, 248 p. , online resource.
    ISBN: 9781468405675
    Series Statement: Progress in Nonlinear Differential Equations and Their Applications ; 14
    Content: This book contains both a synthesis and mathematical analysis of a wide set of algorithms and theories whose aim is the automatic segmen­ tation of digital images as well as the understanding of visual perception. A common formalism for these theories and algorithms is obtained in a variational form. Thank to this formalization, mathematical questions about the soundness of algorithms can be raised and answered. Perception theory has to deal with the complex interaction between regions and "edges" (or boundaries) in an image: in the variational seg­ mentation energies, "edge" terms compete with "region" terms in a way which is supposed to impose regularity on both regions and boundaries. This fact was an experimental guess in perception phenomenology and computer vision until it was proposed as a mathematical conjecture by Mumford and Shah. The third part of the book presents a unified presentation of the evi­ dences in favour of the conjecture. It is proved that the competition of one-dimensional and two-dimensional energy terms in a variational for­ mulation cannot create fractal-like behaviour for the edges. The proof of regularity for the edges of a segmentation constantly involves con­ cepts from geometric measure theory, which proves to be central in im­ age processing theory. The second part of the book provides a fast and self-contained presentation of the classical theory of rectifiable sets (the "edges") and unrectifiable sets ("fractals").
    Note: I. Modelisation -- 1. Edge detection and segmentation -- 2. Linear and nonlinear multiscale filtering -- 3. Region and edge growing methods -- 4. Variational theories of segmentation -- 5. The piecewise constant Mumford-Shah model: mathematical analysis -- II. Elements Of Geometric Measure Theory -- 6. Hausdorff measure -- 7. Covering lemmas in a metric space -- 8. Density properties -- 9. Tangency properties of regular subsets of ?N -- 10. Semicontinuity properties of Hausdorff measure -- 11. Rectiflable sets -- 12. Properties of regular and rectifiable sets -- III. Existence and Structural Properties of the Minimal Segmentations ror the Mumford-Shah Model -- 13. Properties of the approximating image&in the Mumford-Shah model -- 14. Small oscillation coverings&and the excision method -- 15. Density properties and existence theory&for the Mumford-Shah minimizers -- 16. Further properties of the minimizers:&covering the edge set with a single curve -- Bibliographical notes -- References References of Part I -- I-A) Image segmentation and edge detection, surveys and monographs. -- I-B) Articles proposing algorithms for edge detection and image segmentation. -- I-C) Scale space theory. -- I-D) Mathematical analysis related to scale space theory. -- I-E) Monographs in Image Processing. -- I-F) Articles on texture analysis and segmentation. -- I-G) Wavelets, theory and relation to image processing and scale space. -- I-H) Related topics in psychophysics, neurobiology and gestalt theory. -- References of Part II 232 -- II-A) References on geometric measure theory and rectifiability -- II-B) Monographs on mathematics and geometric measure theory. -- References of Part III:Mathematical analysis of the Mumford-Shah model -- Index of segmentation algorithms -- Notation.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9781468405699
    Language: English
    DOI: 10.1007/978-1-4684-0567-5
    URL: http://dx.doi.org/10.1007/978-1-4684-0567-5
    URL: Volltext
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  • 3
    Online Resource
    Online Resource
    Understanding earth observation : the electromagnetic foundation of remote sensing (2016)
    [Cham] : Springer
    Details
    UID:
    b3kat_BV043546253
    Format: 1 Online-Ressource (XXXVII, 703 Seiten) , 297 Illustrationen, 231 Illustrationen in Farbe
    ISBN: 9783319256337 , 9783319256320
    Series Statement: Remote Sensing and Digital Image Processing volume 23
    Language: English
    Keywords: Fernerkundung ; Elektromagnetische Strahlung ; Elektromagnetische Streuung ; Satellitenfernerkundung ; Fernerkundung
    DOI: 10.1007/978-3-319-25633-7
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: Inhaltsverzeichnis
    URL: Abstract
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