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Birkhäuser
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Spherical Sampling

  • Textbook
  • © 2018

Overview

  • 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

Part of the book series: Geosystems Mathematics (GSMA)

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Table of contents (19 chapters)

  1. Preparatory Material

  2. Function Systems

  3. Plane Involved Stereographic Sampling

  4. Plane Involved Polar Coordinate Sampling

  5. Sphere Intrinsic Frequency Limited Sampling

  6. Sphere Intrinsic Frequency Versus Space Sampling

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About this book

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.

Authors and Affiliations

  • Mathematics Department, University of Kaiserslautern, Kaiserslautern, Germany

    Willi Freeden

  • Mathematics Department, University of Central Florida, Orlando, USA

    M. Zuhair Nashed

  • Institute for Computational Engineering, University of Applied Sciences of Technology NTB Buchs, Buchs, Switzerland

    Michael Schreiner

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 

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