Wavelets have many remarkable properties and are extremely versatile.
During the past few years, they have been tried on many problems in different areas of applied mathematics and engineering, often with good success. In this project, we are continuing our early investigation of wavelets in biomedical applications, especially imaging. Main results We have proposed a multiresolution method for the statistical analysis of functional images of the brain. It uses both orthogonal and biorthogonal spline wavelets and allows for a precise localization of the brain activity in fMRI image sequences. Specifically, we have devised a new method to optimize the wavelet transform for the most accurate localization with the fewest false detections.