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05658nam a2200625 4500 |
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ocn886880486 |
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OCoLC |
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20170124070216.7 |
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m o d |
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cr cnu---unuuu |
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140814s2014 enk ob 001 0 eng d |
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|d YDXCP
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|d DEBSZ
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|d OCLCO
|d DEBBG
|d GrThAP
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|a 885122545
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|a 9781118984567
|q (electronic bk.)
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|a 1118984560
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|a 9781118984574
|q (electronic bk.)
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|a 1118984579
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|z 9781848217485
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|z 184821748X
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|a AU@
|b 000053548429
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|a DEBSZ
|b 431731632
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|a DEBBG
|b BV043397043
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|a (OCoLC)886880486
|z (OCoLC)885122545
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|a TA1637.5
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|a COM
|x 000000
|2 bisacsh
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|a 006.4/20151
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|a MAIN
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|a Pinoli, Jean-Charles,
|e author.
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1 |
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|a Mathematical foundations of image processing and analysis.
|n 2 /
|c Jean-Charles Pinoli.
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| 264 |
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1 |
|a London :
|b ISTE,
|c 2014.
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| 300 |
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|a 1 online resource (1 volume).
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Digital signal and image processing series
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|a Print version record.
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|a Cover; Title Page; Copyright; Contents; Preface; Introduction; PART 5: Twelve Main Geometrical Frameworks for Binary Images; Chapter 21: The Set-Theoretic Framework; 21.1. Paradigms; 21.2. Mathematical concepts and structures; 21.2.1. Mathematical disciplines; 21.3. Main notions and approaches for IPA; 21.3.1. Pixels and objects; 21.3.2. Pixel and object separation; 21.3.3. Local finiteness; 21.3.4. Set transformations; 21.4. Main applications for IPA; 21.4.1. Object partition and object components; 21.4.2. Set-theoretic separation of objects and object removal.
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|a 21.4.3. Counting of separate objects21.4.4. Spatial supports border effects; 21.5. Additional comments; Historical comments and references; Bibliographic notes and additional readings; Further topics and readings; Some references on applications to IPA; Chapter 22: The Topological Framework; 22.1. Paradigms; 22.2. Mathematical concepts and structures; 22.2.1. Mathematical disciplines; 22.2.2. Special classes of subsets of Rn; 22.2.3. Fell topology for closed subsets; 22.2.4. Hausdorff topology for compact subsets; 22.2.5. Continuity and semi-continuity of set transformations.
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|a 22.2.6. Continuity of basic set-theoretic and topological operations22.3. Main notions and approaches for IPA; 22.3.1. Topologies in the spatial domain Rn; 22.3.2. The Lebesgue-(Čech) dimension; 22.3.3. Interior and exterior boundaries; 22.3.3.1. Topologically regular objects; 22.3.4. Path-connectedness; 22.3.5. Homeomorphic objects; 22.4. Main applications to IPA; 22.4.1. Topological separation of objects and object removal; 22.4.1.1. (Path)-connected components; 22.4.2. Counting of separate objects; 22.4.3. Contours of objects; 22.4.4. Metric diameter; 22.4.5. Skeletons of proper objects.
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|a 22.4.6. Dirichlet-Voronoi's diagrams22.4.7. Distance maps; 22.4.8. Distance between objects; 22.4.9. Spatial support's border effects; 22.5. Additional comments; Historical comments and references; Bibliographic notes and additional readings; Further topics and readings; Some references on applications to IPA; Chapter 23: The Euclidean Geometric Framework; 23.1. Paradigms; 23.2. Mathematical concepts and structures; 23.2.1. Mathematical disciplines; 23.2.2. Euclidean dimension; 23.2.3. Matrices; 23.2.4. Determinants; 23.2.5. Eigenvalues, eigenvectors and trace of a matrix.
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|a 23.2.6. Matrix norms23.3. Main notions and approaches for IPA; 23.3.1. Affine transformations; 23.3.2. Special groups of affine transformations; 23.3.3. Linear and affine sub-spaces and Grassmannians; 23.3.4. Linear and affine spans; 23.4. Main applications to IPA; 23.4.1. Basic spatial transformations; 23.4.1.1. Reflected objects; 23.4.2. Hyperplanes; 23.4.3. Polytopes; 23.4.4. Minkowski addition and subtraction; 23.4.5. Continuity and semi-continuities of Euclidean transformations; 23.5. Additional comments; Historical comments and references; Commented bibliography and additional readings.
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| 520 |
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|a Mathematical Imaging is currently a rapidly growing field in applied mathematics, with an increasing need for theoretical mathematics. This book, the second of two volumes, emphasizes the role of mathematics as a rigorous basis for imaging sciences. It provides a comprehensive and convenient overview of the key mathematical concepts, notions, tools and frameworks involved in the various fields of gray-tone and binary image processing and analysis, by proposing a large, but coherent, set of symbols and notations, a complete list of subjects and a detailed bibliography. It establishes.
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| 504 |
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|a Includes bibliographical references and index.
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| 650 |
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|a Image processing
|x Mathematics.
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| 650 |
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|a Image analysis
|x Mathematics.
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| 650 |
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4 |
|a Convolutions (Mathematics)
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| 650 |
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4 |
|a Image processing
|x Mathematical models.
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| 650 |
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4 |
|a Mathematics.
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| 650 |
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7 |
|a COMPUTERS
|x General.
|2 bisacsh
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| 655 |
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|a Electronic books.
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| 655 |
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|a Electronic books.
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| 776 |
0 |
8 |
|i Print version:
|a Pinoli, Jean-Charles, author.
|t Mathematical foundations of image processing and analysis. 2
|z 9781848217485
|w (OCoLC)884551293
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| 830 |
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0 |
|a Digital signal and image processing series.
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| 856 |
4 |
0 |
|u https://doi.org/10.1002/9781118984574
|z Full Text via HEAL-Link
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| 994 |
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|a 92
|b DG1
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