Elements Of Digital Geometry, Mathematical Morphology, And Discrete Optimization

Bibliographic Details
Title: Elements Of Digital Geometry, Mathematical Morphology, And Discrete Optimization
Description: The author presents three distinct but related branches of science in this book: digital geometry, mathematical morphology, and discrete optimization. They are united by a common mindset as well as by the many applications where they are useful. In addition to being useful, each of these relatively new branches of science is also intellectually challenging.The book contains a systematic study of inverses of mappings between ordered sets, and so offers a uniquely helpful organization in the approach to several phenomena related to duality.To prepare the ground for discrete convexity, there are chapters on convexity in real vector spaces in anticipation of the many challenging problems coming up in digital geometry. To prepare for the study of new topologies introduced to serve in discrete spaces, there is also a chapter on classical topology.The book is intended for general readers with a modest background in mathematics and for advanced undergraduate students as well as beginning graduate students.
Authors: Christer Oscar Kiselman
Resource Type: eBook.
Subjects: Mathematical optimization, Discrete mathematics, Mappings (Mathematics), Digital filters (Mathematics), Image processing--Digital techniques--Mathematics, Computer graphics--Mathematics, Geometry--Data processing
Categories: MATHEMATICS / Geometry / General, MATHEMATICS / Calculus, MATHEMATICS / Combinatorics
Database: eBook Index
FullText Text:
  Availability: 0
Header DbId: edsebk
DbLabel: eBook Index
An: 3170995
RelevancyScore: 962
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 962.24267578125
IllustrationInfo
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  Data: Elements Of Digital Geometry, Mathematical Morphology, And Discrete Optimization
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  Group: Ab
  Data: The author presents three distinct but related branches of science in this book: digital geometry, mathematical morphology, and discrete optimization. They are united by a common mindset as well as by the many applications where they are useful. In addition to being useful, each of these relatively new branches of science is also intellectually challenging.The book contains a systematic study of inverses of mappings between ordered sets, and so offers a uniquely helpful organization in the approach to several phenomena related to duality.To prepare the ground for discrete convexity, there are chapters on convexity in real vector spaces in anticipation of the many challenging problems coming up in digital geometry. To prepare for the study of new topologies introduced to serve in discrete spaces, there is also a chapter on classical topology.The book is intended for general readers with a modest background in mathematics and for advanced undergraduate students as well as beginning graduate students.
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  Data: <searchLink fieldCode="AR" term="%22Christer+Oscar+Kiselman%22">Christer Oscar Kiselman</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Discrete+mathematics%22">Discrete mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Mappings+%28Mathematics%29%22">Mappings (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Digital+filters+%28Mathematics%29%22">Digital filters (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Image+processing--Digital+techniques--Mathematics%22">Image processing--Digital techniques--Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+graphics--Mathematics%22">Computer graphics--Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Geometry--Data+processing%22">Geometry--Data processing</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 006.6
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Mathematical optimization
        Type: general
      – SubjectFull: Discrete mathematics
        Type: general
      – SubjectFull: Mappings (Mathematics)
        Type: general
      – SubjectFull: Digital filters (Mathematics)
        Type: general
      – SubjectFull: Image processing--Digital techniques--Mathematics
        Type: general
      – SubjectFull: Computer graphics--Mathematics
        Type: general
      – SubjectFull: Geometry--Data processing
        Type: general
    Titles:
      – TitleFull: Elements Of Digital Geometry, Mathematical Morphology, And Discrete Optimization
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Christer Oscar Kiselman
      – PersonEntity:
          Name:
            NameFull: Christer Oscar Kiselman
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      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2022
            – D: 22
              M: 02
              Type: profile
              Y: 2022
          Identifiers:
            – Type: isbn-print
              Value: 9789811248290
            – Type: isbn-electronic
              Value: 9789811248306
          Titles:
            – TitleFull: Elements Of Digital Geometry, Mathematical Morphology, And Discrete Optimization
              Type: main
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