Multiscale Analysis for Images with MATLAB Implementation

In this document, we comprehensively discuss the concepts of multiscale analysis for images and Shapelet transform, while presenting detailed MATLAB implementation approaches for these techniques. Multiscale analysis serves as a critical image processing methodology that enables extraction of valuable information from images at different scales through pyramid decomposition or wavelet transforms. The Shapelet transform represents an advanced method for detecting specific shape patterns within images, utilizing basis functions that capture localized shape characteristics. We will delve into the fundamental principles and implementation specifics of these methods, including code structure design, parameter optimization strategies, and key MATLAB functions such as wavelet filters for multiscale decomposition and custom shapelet basis generation algorithms. This thorough exploration aims to equip readers with both theoretical understanding and practical programming skills for effective application in image analysis projects.