Motion can have a significant impact on signal changes in functional MR images, and affect the detection of real functional activation. To minimize the effect of motion on the fMRI signal, we propose a simultaneous segmentation and registration model. Due to T2 weighted signal loss, decreased resolution, and low contrast in fMR images, the feature to be used for realignment can't be detected re...

The problem of testing equality of several binomial proportions to a speci)ed standard is considered. An exact method of testing based on the test statistic considered in Kulkarni and Shah (Statist. Probab. Lett. 25 (1995) 213) is proposed. Exact properties of the exact method and the approximate method due to Kulkarni and Shah are evaluated numerically for the two-sample case. Numerical studie...

We present a novel statistical-model-based segmentation algorithm that addresses a recurrent problem in appearance model fitting and model-based segmentation: the “shrinking problem”. When statistical appearance models are fitted to an image in order to segment an object, they have the tendency not to cover the full object, leaving a gap between the real and the detected boundary. This is due t...

Using a calibration method we prove that, if Γ ⊂ Ω is a closed regular hypersurface and if the function g is discontinuous along Γ and regular outside, then the function uβ which solves { ∆uβ = β(uβ − g) in Ω \ Γ ∂νuβ = 0 on ∂Ω ∪ Γ is in turn discontinuous along Γ and it is the unique absolute minimizer of the nonhomogeneous Mumford-Shah functional

Let G be a connected reductive linear algebraic group. We use geometric methods to investigate G-completely reducible subgroups of G, giving new criteria for G-complete reducibility. We show that a subgroup of G is G-completely reducible if and only if it is strongly reductive in G; this allows us to use ideas of R.W. Richardson and Hilbert– Mumford–Kempf from geometric invariant theory. We ded...

This work focuses on a parameter-free joint piecewise smooth image denoising and contour detection. Formulated as the minimization of discrete Mumford–Shah functional estimated via theoretically grounded alternating scheme, bottleneck such variational approach lies in need to fine-tune their hyperparameters, while not having access ground truth data. To that aim, Stein-like strategy providing o...

Burton M. Altura, Nilank C. Shah, Gatha Shah, Aimin Zhang, Wenyan Li, Tao Zheng, Jose Luis Perez-Albela, and Bella T. Altura Departments of Physiology and Pharmacology and Medicine, Center for Cardiovascular and Muscle Research, and School of Graduate Studies Program in Molecular and Cellular Science, State University of New York Downstate Medical Center, Brooklyn; Bio-Defense Systems, Incorpor...