Q-ball imaging (QBI) is a high angular resolution diffusion imaging (HARDI) technique which has been proven very successful in resolving multiple intravoxel fiber orientations in MR images. The standard computation of the orientation distribution function (ODF, the probability of diffusion in a given direction) from q-ball data uses linear radial projection, neglecting the change in the volume ...

Sedarat, Franklin, Eric Lin, Edwin D. W. Moore, and Glen F. Tibbits. Deconvolution of confocal images of dihydropyridine and ryanodine receptors in developing cardiomyocytes. J Appl Physiol 97: 1098 –1103, 2004. First published April 2, 2004; 10.1152/ japplphysiol.00089.2004.—Colocalization of dihydropyridine (DHPR) and ryanodine (RyR) receptors, a key determinant of Ca induced Ca release, was ...

Summary White reflectivity is not a fundamental assumption in the convolutional models. However the deconvolution algorithms should be modified slightly to honour color in the reflectivity series. This color correction is just possible when enough well-log information is available to build a mathematical model for the regional reflectivity. A method for correcting reflectivity color effects in ...

We derive optimal estimators for the two-, three-, and four-point correlators of statistically isotropic scalar fields defined on sphere, such as Cosmic Microwave Background temperature fluctuations, allowing arbitrary (linear) masking inpainting schemes. In each case, we give unwindowed estimator (obtained via a maximum-likelihood prescription, with an associated Fisher deconvolution matrix), ...

Motivated by potential applications in architecture, we study Darboux cyclides. These algebraic surfaces of order ≤ 4 are a superset of Dupin cyclides and quadrics, and they carry up to six real families of circles. Revisiting the classical approach to these surfaces based on the spherical model of 3D Möbius geometry, we provide computational tools for the identificiation of circle families on ...

Abstract: The cross-range resolution of forward-looking phase array radar (PAR) is limited by the effective antenna beamwidth since the azimuth echo is the convolution of antenna pattern and targets’ backscattering coefficients. Therefore, deconvolution algorithms are proposed to improve the imaging resolution under the limited antenna beamwidth. However, as a typical inverse problem, deconvolu...

In this short note we propose a new method for construction new nice arrangement on the sphere Sd using the spaces of spherical harmonic.

Consider a sequence of point sets on S, where each set X is a spherical ndesign with m points, where m = O(n), and where the spherical distance between points of X is at least λ/ √ m, for some λ common to all sets of the sequence. For each X of such a sequence, the Coulomb energy E(X) is bounded by E(X) 6 1 2 m2 + O(m). The first term and the order of the second term are the same as for the bou...