Publication

Wavelets: on the virtues and applications of the mathematical microscope

Michaël Unser
2014
Journal Articles

Abstract

The paper provides a short introduction to wavelets and discusses their main applications in microscopy and biological imaging.

Official source

https://infoscience.epfl.ch/entities/publication/fc2c21b5-c2f2-4ffb-8d64-68ba26993e24

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Michaël Unser
2014
Journal Articles

Abstract

The paper provides a short introduction to wavelets and discusses their main applications in microscopy and biological imaging.

Official source

https://infoscience.epfl.ch/entities/publication/fc2c21b5-c2f2-4ffb-8d64-68ba26993e24

About this result

Related concepts (14)

Wavelet

A wavelet is a wave-like oscillation with an amplitude that begins at zero, increases or decreases, and then returns to zero one or more times. Wavelets are termed a "brief oscillation". A taxonomy of wavelets has been established, based on the number and direction of its pulses. Wavelets are imbued with specific properties that make them useful for signal processing. For example, a wavelet could be created to have a frequency of Middle C and a short duration of roughly one tenth of a second.

Wavelet transform

In mathematics, a wavelet series is a representation of a square-integrable (real- or complex-valued) function by a certain orthonormal series generated by a wavelet. This article provides a formal, mathematical definition of an orthonormal wavelet and of the integral wavelet transform. A function is called an orthonormal wavelet if it can be used to define a Hilbert basis, that is a complete orthonormal system, for the Hilbert space of square integrable functions.

Virtue

A virtue (virtus) is a trait of excellence, including traits that may be moral, social, or intellectual. The cultivation and refinement of virtue is held to be the "good of humanity" and thus is valued as an end purpose of life or a foundational principle of being. In human practical ethics, a virtue is a disposition to choose actions that succeed in showing high moral standards: doing what is right and avoiding what is wrong in a given field of endeavour.

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