We introduce a family of Cauchy integral formulas for slice and slice regular functions on a real associative *-algebra. For every suitable choice of a real subspace of the algebra, a different formula is given, in which the domains of integration are subsets of the subspace. In particular, in the quaternionic case we get a volume Cauchy formula. In the Clifford algebra case, the choice of the ...

Given a closed connected Riemannian manifold M and a connected Riemannian manifold N , we study slice, i.e. M × {z}, z ∈ N , volume contracting diffeomorphisms on the product M ×N . Our main theorem shows that in the presence of certain cohomological condition on M and N such diffeomorphisms must map a slice diffeomorphically onto another slice and are therefore slice volume preserving. As a fi...

Introduction: The rapid use of computed tomography (CT) scan is of great concern, due to increase in patients’ dose. Optimization of CT protocol is a vital issue in dose reduction. This study aimed to optimize radiation dose in cranial CT and assess modifications in image quality under radiation dose reduction. Material and Methods: A poly(me...

abstract background: the current practice to measure rv is either by bpg or helium dilution methods which may not be available in all clinics due to their cost. methods: this paper outlines a method for both direct and indirect calculation of rv via pft with acceptable sensitivity (81 %, 60% ), specificity (71 %, 94%) and validity (76%, 78%) for obstructive and restrictive lung disease respecti...

purpose the aim of this study was to evaluate predictor variables of race time in female ultra-endurance inliners in the longest inline race in europe. methods we investigated the association between anthropometric and training characteristics and race time for 16 female ultra-endurance inline skaters, at the longest inline marathon in europe, the ‘inline one-eleven’ over 111 km in switzerland,...

OBJECTIVES Although CT scanners generally allow dynamic acquisition of thin slices (1 mm), thick slice (≥5 mm) reconstruction is commonly used for stroke imaging to reduce data, processing time, and noise level. Thin slice CT perfusion (CTP) reconstruction may suffer less from partial volume effects, and thus yield more accurate quantitative results with increased resolution. Before thin slice ...

T(1)-weighted NMR imaging of the isolated perfused rat hippo-campal slice was used to estimate cell volume fraction. Eight brain slices were studied in artificial cerebrospinal fluid (aCSF) using a 600 MHz narrow bore spectrometer and a home built perfusion chamber. Cell volume fraction was calculated as 1 - f(ECS), where f(ECS) is the distribution volume of gadodiamide in the slice. This was d...

The Fourier projection-slice theorem states that the inverse transform of a slice extracted from the frequency domain representation of a volume yields a projection of the volume in a direction perpendicular to the slice. This theorem allows the generation of attenuation-only renderings of volume data in 0 (N2 log N) time for a volume of size N 3 • In this paper, we show how more realistic rend...

We present a group of methods for decomposing an arbitrary 3D volume rotation into a sequence of simple shear (i.e., regular shift) operations. We explore different types of shear operations: 2D beam shear, a shear in one coordinate based on the other two coordinates; 2D slice shear, a shear of a volume slice (in two coordinates) according to the third coordinate; and 2D slice–beam shear, the c...