Publication

Wavelets on the two-sphere and other conic sections

Pierre Vandergheynst
2007
Journal Articles

Abstract

We review the construction of the continuous wavelet transform (CWT) on the two-sphere by two methods, the group-theoretical approach and the geometrical method based on conformal invariance. Then we discuss the discretization of the spherical CWT, obtaining various types of discrete frames, first half-continuous ones (only the scale is discretized), then ful ly discrete ones. Next we describe the construction of a CWT on the upper sheet of two-sheeted hyperboloid. Final ly we give some indications on the CWT on a paraboloid and we introduce a unified approach to the CWT on conic sections.

Official source

https://infoscience.epfl.ch/entities/publication/ca29647f-f6e2-496f-8dd4-42d988f10f59

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Wavelets on the two-sphere and other conic sections

Chat with Graph Search

Bootstrapping smooth conformal defects in Chern-Simons-matter theories

Flux correlators and semiclassics

Teaching Not To