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Spherical Sampling

  • Willi Freeden
  • M. Zuhair Nashed
  • Michael Schreiner

Part of the Geosystems Mathematics book series (GSMA)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
    Pages 1-29
  3. Preparatory Material

    1. Front Matter
      Pages 31-31
    2. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
      Pages 33-60
  4. Function Systems

    1. Front Matter
      Pages 61-61
    2. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
      Pages 63-103
    3. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
      Pages 105-130
    4. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
      Pages 131-145
  5. Plane Involved Stereographic Sampling

    1. Front Matter
      Pages 147-147
    2. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
      Pages 149-174
    3. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
      Pages 175-185
  6. Plane Involved Polar Coordinate Sampling

    1. Front Matter
      Pages 187-187
    2. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
      Pages 189-222
    3. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
      Pages 223-245
    4. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
      Pages 247-263
  7. Sphere Intrinsic Frequency Limited Sampling

    1. Front Matter
      Pages 265-265
    2. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
      Pages 267-300
    3. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
      Pages 301-314
  8. Sphere Intrinsic Frequency Versus Space Sampling

    1. Front Matter
      Pages 315-315
    2. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
      Pages 317-383
    3. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
      Pages 385-408
  9. Sphere Intrinsic Spacelimited Sampling

    1. Front Matter
      Pages 409-409
    2. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
      Pages 411-445
    3. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
      Pages 447-468
  10. Applications

    1. Front Matter
      Pages 469-469
    2. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
      Pages 471-493
    3. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
      Pages 495-522
  11. Final Remarks

    1. Front Matter
      Pages 523-523
    2. Willi Freeden, M. Zuhair Nashed, Michael Schreiner
      Pages 525-531
  12. Back Matter
    Pages 533-596

About this book

Introduction

This book presents, in a consistent and unified overview, results and developments in the field of today´s spherical sampling, particularly arising in mathematical geosciences. Although the book often refers to original contributions, the authors made them accessible to (graduate) students and scientists not only from mathematics but also from geosciences and geoengineering. Building a library of topics in spherical sampling theory it shows how advances in this theory lead to new discoveries in mathematical, geodetic, geophysical as well as other scientific branches like neuro-medicine. A must-to-read for everybody working in the area of spherical sampling.

Keywords

Euclidean cardinal series Shannon Haar Bernstein isotopic Kernel functions Spherical Sampling

Authors and affiliations

  • Willi Freeden
    • 1
  • M. Zuhair Nashed
    • 2
  • Michael Schreiner
    • 3
  1. 1.Mathematics DepartmentUniversity of KaiserslauternKaiserslauternGermany
  2. 2.Mathematics DepartmentUniversity of Central FloridaOrlandoUSA
  3. 3.Institute for Computational EngineeringUniversity of Applied Sciences of Technology NTB BuchsBuchsSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-71458-5
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-71457-8
  • Online ISBN 978-3-319-71458-5
  • Series Print ISSN 2510-1544
  • Series Online ISSN 2510-1552
  • Buy this book on publisher's site
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