Digital Functions and Data Reconstruction

Digital-Discrete Methods


ISBN: 978-1-4614-5637-7 (Print) 978-1-4614-5638-4 (Online)
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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xix

  2. Digital Functions

    1. Front Matter

      Pages 1-1

    2. Book Chapter

      Pages 3-12


    3. Book Chapter

      Pages 13-22

      Functions and Relations

    4. Book Chapter

      Pages 23-37

      Functions in Digital and Discrete Space

    5. Book Chapter

      Pages 39-50

      Gradually Varied Extensions

    6. Book Chapter

      Pages 51-63

      Digital and Discrete Deformation

  3. Digital-Discrete Data Reconstruction

    1. Front Matter

      Pages 65-65

    2. Book Chapter

      Pages 67-79

      Basic Numerical and Computational Methods

    3. Book Chapter

      Pages 81-98

      Digital-Discrete Approaches for Smooth Functions

    4. Book Chapter

      Pages 99-122

      Digital-Discrete Methods for Data Reconstruction

    5. Book Chapter

      Pages 123-142

      Harmonic Functions for Data Reconstruction on 3D Manifolds

  4. Advanced Topics

    1. Front Matter

      Pages 143-143

    2. Book Chapter

      Pages 145-159

      Gradual Variations and Partial Differential Equations

    3. Book Chapter

      Pages 161-180

      Gradually Varied Functions for Advanced Computational Methods

    4. Book Chapter

      Pages 181-201

      Digital-Discrete Method and Its Relations to Graphics and AI Methods

  5. Back Matter

    Pages 203-207