scaling functions

Scaling functions are mathematical tools used to analyze signals or data across different levels of detail, much like zooming in and out to see both the big picture and fine details. They help decompose complex information into simpler, meaningful parts, making patterns easier to identify. Commonly used in fields like signal processing and image analysis, scaling functions enable us to study data at various scales, facilitating tasks such as compression, noise reduction, or feature extraction. Essentially, they provide a flexible way to analyze the structure of data across different resolutions.