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© 2018

Spherical Sampling

Benefits

  • Presents in a consistent and unified way new results and developments

  • Accessible to graduate students in mathematics as well as to scientists in geosciences and geoengineering

  • Shows how advances in the theory lead to new discoveries in other branches

Textbook

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

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

  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

About the authors

Willi Freeden is Professor of Geomathematics at the Technical University of Kaiserslautern, Germany

Zuhair Nahed is Professor at the University of Central Florida, Orlando, USA

Michael Schreiner is Professor at the  NTB of Buchs, St. Gallen 

Bibliographic information