This paper presents a theoretical generalization of the circumcenter as the intersection of generalized perpendicular bisectors. We define generalized bisectors between two regions as an area where each point is the center of at least one circle crossing each of the two regions. These new notions should allow the design of new circle recognition algorithms.

Unbiased stereological sampling and counting techniques for estimating the total length, total volume and diameter distribution of myelinated nerve fibers in white matter and the total number of synapses in neocortex of human autopsy brains were described. Uniform random sampling of tissues from entire hemisphere was performed. The total volume and total length of myelinated fibers in white mat...

INTRODUCTION Knowledge of the presence of the alveolar antral artery in the lateral maxillary sinus wall is essential for surgeons who operate in this region. The purpose of this study was to investigate the correlation between alveolar antral artery diameter and lateral maxillary bony wall thickness in dentate patients. MATERIALS AND METHODS Thirty five Cone-Beam Computed Tomography (CBCT) s...

Ordered CoNiP nanowires with the same length of 4 µm and varying diameters (d = 100 nm-600 nm) were fabricated by electrodeposition of CoNiP onto polycarbonate templates. X-ray diffraction, scanning electron microscopy, and high-resolution transmission electron microscopy confirmed the quality of the fabricated nanowires. Magnetic measurements and theoretical analysis revealed that the magnetiz...

An X-ray micro-tomography system has been designed that is optimised for low dose imaging of radiation sensitive polymer gels. The scanner is based on a third-generation cone-beam X-ray CT scanner. A mini-focus X-ray source (Oxford XTF5011 or an Oxford series 1500) is used in conjunction with a 100mm diameter X-ray image intensifier (Hamamatsu C7336). The sample may be rotated and moved perpend...

PURPOSE To identify optimal pulsed gradient spin-echo (PGSE) and oscillating gradient spin-echo (OGSE) sequence settings for maximizing sensitivity to axon diameter in idealized and practical conditions. METHODS Simulations on a simple two-compartment white matter model (with nonpermeable cylinders) are used to investigate a wide space of clinically plausible PGSE and OGSE sequence parameters...

We consider a four-vertex model introduced by Bálint Tóth: a dependent bond percolation model on Z, in which every edge is present with probability 1/2, and each vertex has exactly two incident edges, perpendicular to each other. We prove that all components are finite cycles almost surely, but the expected diameter of the cycle containing the origin is infinite. Moreover, we derive the followi...

The concept of the study was to find the correlation between the morphometry of the suprascapular notch and basic anthropometric measurements of the human scapula. The measurements of the human scapulae included: morphological length and width, maximal width and length projection of scapular spine, length of acromion, and maximal length of the coracoid process. The glenoid cavity was measured i...

Purpose: The cutoff values currently used to categorize tumor response to therapy are neither biologically based nor tailored for measurement reproducibility with contemporary imaging modalities. Sources and magnitudes of discordance in response assessment in metastatic colorectal cancer (mCRC) are unknown. Experimental Design: A subset of patients’ CT images of chest, abdomen, and pelvis were ...

OBJECTIVE We compare the mitral valve annular dimension in relation to the body surface area of the Indian population as against the standard values. METHODS The study was conducted between September 2004 and February 2006 on 406 subjects, out of which 252 were males and 154 were females. A spatially oriented B-mode scan echocardiogram was used, with the long-axis plane running parallel to th...