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Spherical Sampling
ISBN-13:
9783319714585
Veröffentl:
2018
Seiten:
596
Autor:
Willi Freeden
Serie:
Geosystems Mathematics
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
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.
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.
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