With the introduction of 2D flat-panel X-ray detectors, 3D image reconstruction using helical cone-beam tomography is fast replacing the conventional 2D reconstruction techniques. In 3D image reconstruction, the source orbit or scanning geometry should satisfy the data sufficiency or completeness condition for exact reconstruction. The helical scan geometry satisfies this condition and hence ca...

We study the physical electron in quantum electrodynamics expanded on the light-cone Fock space in order to address two problems: (1) the physics of the electron’s anomalous magnetic moment ae in nonperturbative QED, and (2) the practical problems of ultraviolet regularization and renormalization in truncated nonperturbative light-cone Hamiltonian theory. We present results for ae computed in a...

PURPOSE To elucidate the antigen recognized by monoclonal antibody (mAb) 7G6, a widely used cone-specific marker. METHODS 7G6 immunocytochemistry was performed on sections of human, primate, and bovine retina. The antigen was immunoprecipitated from human retinal lysates and purified with protein G. Edman degradation and liquid chromatography of tryptic peptides combined with tandem mass spec...

Cone polynomials in n > 1 variables, also known as volume polynomials and/or spline polynomials, are the polynomials that appear in the local structure of the truncated powers, hence in the local structure of any derived construction such as box splines, simplex splines, partition functions, character formulas and moment maps. The underlying geometry is determined by a real linear matroid, i.e....

We present an algorithm which allows us to investigate what is feasible when reconstructing a Region-Of-Interest (ROI) from transaxial truncated cone-beam projections obtained on a circular orbit in combination with information obtained at a different magnification level. We use the well-known fact that a rough estimate of the global properties of the Radon Transform is sufficient to obtain a r...

Region-of-Interest (ROI) tomography aims at reconstructing a region of interest C inside a body using only x-ray projections intersecting C with the goal to reduce overall radiation exposure when only a small specific region of the body needs to be examined. We consider x-ray acquisition from sources located on a smooth curve Γ in R3 verifying classical Tuy’s condition. In this situation, the n...

This paper studies generalized truncated moment problems with unbounded sets. First, we study geometric properties of the cone and its dual nonnegative polynomials. By technique homogenization, give a convergent hierarchy Moment-SOS relaxations for approximating these cones. With them, method solving Finitely atomic representing measures, or certificates their nonexistence, can be obtained by p...