An introduction to wavelet theory and application for the radiological physicist

The wavelet transform, part of a rapidly advancing new area of mathematics, has become an important technique for image compression, noise suppression, and feature extraction. As a result, the radiological physicist can expect to be confronted with elements of wavelet theory as diagnostic radiology...

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Bibliographic Details
Published in:Medical physics (Lancaster) 1998-10, Vol.25 (10), p.1985-1993
Main Author: Harpen, Michael D.
Format: Article
Language:English
Subjects:
87.56
87.90
Biophysical Phenomena
Biophysics
Computer aided diagnosis
Data Interpretation, Statistical
diagnostic radiography
Digital radiography
feature extraction
Function theory, analysis
Humans
image coding
Image forming and processing
Image processing
Image Processing, Computer-Assisted
Mathematics
medical image processing
Medical imaging
Models, Theoretical
noise
Noise propagation
PACS
Physicists
Radiographic Image Enhancement
radiology
Telecommunications: signal transmission and processing
communication satellites
Wavelet transform
wavelet transforms
Wavelets
X‐ and γ‐ray instruments
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Summary:The wavelet transform, part of a rapidly advancing new area of mathematics, has become an important technique for image compression, noise suppression, and feature extraction. As a result, the radiological physicist can expect to be confronted with elements of wavelet theory as diagnostic radiology advances into teleradiology, PACS, and computer aided feature extraction and diagnosis. With this in mind we present a primer on wavelet theory geared specifically for the radiological physicist. The mathematical treatment is free of the details of mathematical rigor, which are found in most other treatments of the subject and which are of little interest to physicists, yet is sufficient to convey a reasonably deep working knowledge of wavelet theory.
ISSN:0094-2405
2473-4209
DOI:10.1118/1.598387