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Proceedings Paper

Adapted waveform analysis: a tool for audio, image, and video enhancement
Author(s): Ronald Raphael Coifman; Lionel J. Woog
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Paper Abstract

Adapted wave form analysis, refers to a collection of FFT like adapted transform algorithms. Given a signal these methods provide special matched collections of templates (orthonormal bases) enabling an efficient extraction of structural components. As a result various operations such as denoising, undesirable background suppression, sharpening and enhancement can be achieved efficiently. Perhaps the closest well known example of such coding method is provided by musical notation, where each segment of music is represented by a musical score made up of notes (templates) characterized by their duration, pitch, location and amplitude, our method corresponds to transcribing the music in as few notes as possible. Since noise and static are difficult to describe efficiently we obtain as a byproduct a denoised version of the sound. This transcription in a score can be developed into a mathematical musical orchestration as described below. The extension to images and video is straightforward we describe the image by collections of oscillatory patterns (paint brush strokes) of various sizes, locations, and amplitudes using a variety of orthogonal bases.

Paper Details

Date Published: 19 February 1997
PDF: 16 pages
Proc. SPIE 2942, Investigative Image Processing, (19 February 1997); doi: 10.1117/12.267180
Show Author Affiliations
Ronald Raphael Coifman, Yale Univ. (United States)
Lionel J. Woog, Yale Univ. (United States)


Published in SPIE Proceedings Vol. 2942:
Investigative Image Processing
Leonid I. Rudin; Simon K. Bramble, Editor(s)

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