the fusion of medical images is very useful for clinical application. generally, the pet image indicates the function of tissue and the mri image shows the anatomy of tissue. in this article we fused mri and pet images and the purpose is adding structural information from mri to pet image. the images decomposed with curvelet transform, and then two images fused with applying fusion rules. we us...

In the first ‘Wavelets and Statistics’ conference proceedings 1, our group published ‘Wavelab and Reproducible Research’, in which we advocated using the internet for publication of software and data so that research results could be duplicated by others. Much has happened in the last decade that bears on the notion of reproducibility, and we will review our experience. We will also describe a ...

We discuss recent work based on multiscale geometric analysis for the study of large data sets that lie in high-dimensional spaces but have low-dimensional structure. We present three applications: the first one to the estimation of intrinsic dimension of sampled manifolds, the second one to the construction of multiscale dictionaries, called geometric wavelets, for the analysis of point clouds...

A novel segmentation scheme for noisy image is proposed. According to the analysis of wavelet denoising method and multiscale geometric analysis techniques, an improved wavelet denoising algorithm combined with multiscale geometric analysis is presented in this paper first. Due to the isotropic nature of wavelet transform, 2D image details are not well represented in wavelet transform, which re...

Based on the statistical property of SAR image speckle noise and the property that the multiscale geometric analysis can capture the intrinsic geometrical structure of image, combining curvelet transform with BivaShrink denoising model, a method of SAR image denoising based on curvelet domain is presented in this paper. According to calculation of variance homogeneous measurement and curvelet c...

Jianwei Ma, M. Yousuff Hussaini, Oleg V. Vasilyev, and Francois-Xavier Le Dimet School of Aerospace, Tsinghua University, Beijing 100084, China School of Computational Science, Florida State University, Tallahassee, Florida 32306, USA Department of Mechanical Engineering, University of Colorado, Boulder, Colorado 80309, USA Laboratory Jean-Kuntzman, Université de Grenoble and INRIA, BP 53, 3804...

This chapter is about objective image quality assessment (IQA), which has been recognized as an effective and efficient way to predict the visual quality of distorted images. Basically, IQA has three different dependent degrees on original images, namely, full-reference (FR), noreference (NR), and reduced-reference (RR). To begin with, the fundamentals of IQA are introduced and a broad treatmen...

NSCT is one of useful multiscale geometric analysis tools, which takes full advantage of geometric regularity of image intrinsic structures. The dual-channel PCNN is a simplified PCNN model, which can process multiple images by a single PCNN. This saves time in the process of image fusion and cuts down computational complexity. In this paper, we present a new image fusion scheme based on NSCT a...

In this paper, a novel algorithm for mammographic images enhancement and denoising based on Multiscale Geometric Analysis (MGA) is proposed. Firstly mammograms are decomposed into different scales and directional subbands using Nonsubsampled Contourlet Transform (NSCT). After modeling the coefficients of each directional subbands using Generalized Gaussian Mixture Model (GGMM) according to the ...