We present an algorithm to compute an approximate overlap of two convex polytopes P1 and P2 in R3 under rigid motion. Given any ε ∈ (0, 1/2], our algorithm runs in O(ε−3n log3.5 n) time with probability 1− n−O(1) and returns a (1− ε)-approximate maximum overlap, provided that the maximum overlap is at least λ ·max{|P1|, |P2|} for some given constant λ ∈ (0, 1]. 1998 ACM Subject Classification F...

In the first paper in this series, a new integral equation approximation t h e Percus-Yevick excess (PYX) approximation--was introduced and contrasted with the corrected Percus-Yevick (CPY) approximation. In the present paper, these two approximations are evaluated for a molecular fluid, the molecules of which interact via a short ranged anisotropic potential prototypical of the overlap interac...

Both echocardiography (specifically transesophageal echocardiography [TEE]) and multidetector row computed tomography (MDCT) have played an integral role in preprocedural planning for transcatheter aortic valve replacement, heavily influencing the moniker of “multimodality imaging.” The strengths of each modalities are complementary (Table), although there is overlap between the preprocedural a...

A typical application for laser interferometers is a precision measurement of length changes that results in interferometric phase shifts. Such phase changes are typically predicted numerically, due to the complexity of the overlap integral that needs to be solved. In this paper we will derive analytical representations of the interferometric phase and contrast (aka fringe visibility) for two b...

Based on the overlap integral of electromagnetic fields in neighboring cores, a calculating method is proposed for obtaining the coupling coefficient between two adjacent trench-assisted non-identical cores. And a kind of heterogeneous trench-assisted multi-core fiber (Hetero-TA-MCF) with 12 cores is proposed to achieve large effective area (A(eff)) and high density of cores. As bending radius ...