Harpen M D
University of South Alabama, Department of Radiology, Mobile 36617, USA.
Med Phys. 1998 Oct;25(10):1985-93. doi: 10.1118/1.598387.
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.
小波变换作为数学领域中一个迅速发展的新分支,已成为图像压缩、噪声抑制和特征提取的一项重要技术。因此,随着诊断放射学向远程放射学、PACS以及计算机辅助特征提取与诊断方向发展,放射物理学家可能会遇到小波理论的相关内容。考虑到这一点,我们专门为放射物理学家编写了这本小波理论入门读物。本书的数学论述没有大多数其他相关论述中那种让物理学家兴趣寥寥的数学严谨细节,但足以传达对小波理论较为深入的实用知识。