Spherical Sampling

ISBN-13: 9783319714578 / Angielski / Twarda / 2018 / 596 str.

Willi Freeden; M. Zuhair Nashed; Michael Schreiner

Opis

This book presents in a consistent and unified overview results and developments in the field of today's spehrical sampling particularly arising in mathematical geosciences.

Spis treści

Preliminaries.- Function Systems.- Shannon Sampling Variants.- Bandlimited Sampling.- Spline Sampling.- Bandlimited Fourier Expansion Sampling.- Spacelimited Multi-Scale Approximate Identity Sampling.- Spacelimited Multi-Resolution Up-Function Sampling.- Spacelimited Multi-Scale Regularized Green Function Sampling.- Non-Spacelimited Wavelet Sampling.- Inverse Wavelet Sampling.- Conclusion.- Appendices.

O autorze

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 

Blurb

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.