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Imaging device that uses the wavelet transformation as the image reconstruction algorithm. II. The L transform

✍ Scribed by John H. Letcher

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
512 KB
Volume
5
Category
Article
ISSN
0899-9457

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✦ Synopsis

Abstract

An ultrasound‐device image‐reconstruction algorithm has been described previously that uses orthonomal wavelets as the basis of a transform space. The transform algorithms make it possible to analyze the reflected ultrasound signal from a sample to produce a map of one of its internal properties, the acoustical impedance. Conventional wavelets do not exhibit translation invariance, the lack of which ofttimes generates nonzero expansion coefficients for wavelets of lower sequency than the transmitted signal. By a transformation of basis to a set of functions which exhibit a form of translation invariance the aforementioned problem is removed. However, the new functions are no longer orthogonal. An algorithm is described to perform this transformation extremely efficiently. Also described is an algorithm to unsmear the image due to the fact that the transmitted signal may not be a single wavelet but instead is a short sequence (linear combination) of wavelets. The coefficients of the array used to deconvolve the signal are determined by performing a forward wavelet transformation on the transmitted signal itself.©1994 John Wiley & Sons Inc

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