The recent application of tomographic methods to three-dimensional imaging through tissue by use of light often requires modeling of geometrically complex diffuse-nondiffuse boundaries at the tissue-air interface. We have recently investigated analytical methods to model complex boundaries by means of the Kirchhoff approximation. We generalize this approach using an analytical approximation, th...

The widespread availability of three-dimensional imaging and computational power has fostered a rapid increase in the number of biologists using finite element analysis (FEA) to investigate the mechanical function of living and extinct organisms. The inevitable rise of studies that compare finite element models brings to the fore two critical questions about how such comparative analyses can an...

A numerical model of the wave dynamics in Passage Canal, Alaska during the Mw 9.2 megathrust earthquake is presented. During the earthquake, several types of waves were identified at the city of Whittier, located at the head of Passage Canal. The first wave is thought to have been a seiche, while the other two waves were probably triggered by submarine landslides. We model the seiche wave, land...

An accurate, well-posed two-dimensional model incorporating stretching and bending effects, suitable for analyzing the wrinkling pattern in stretched sheets, is derived from three-dimensional nonlinear elasticity theory.

Having knowledge of stability of an underground space depends on stresses and strains around it. Creating underground tunnels leads to significant changes in the rock mass stress. Therefore, to achieve the necessary stability, stresses and deformations around the tunnel must be examined carefully. Usually, stress-strain behavior analysis is conducted in two-dimensional mode. This paper was cond...

We study numerically and experimentally self-focusing dynamics of femtosecond light pulses. By demonstrating the potential of three dimensional imaging technique for quantitative recovery of complex (arbitrarily shaped) wave packets, we monitor space-time transformation dynamics of 150-fs light pulse, which undergoes self-focusing and filamentation in water. Peculiar spatiotemporal and spectral...

1 . Paralysis by analysis . Experience has repeatedly shown that, whenever difficult organization wrenching strategies are formulated by the internal staff, they fare even worse than strategies formulated by external consultants . In practice, a typical result has become known as "paralysis by analysis" results of annual planning exercises remain on paper and gather dust on the corporate planne...

The design of a patient-specific virtual tumour is an important step towards Personalized Medicine. However this requires to capture the description of many key events of tumour development, including angiogenesis, matrix remodelling, hypoxia, and cell state heterogeneity that will all influence the tumour growth kinetics and degree of tumour invasiveness. To that end, an integrated hybrid and ...

In past three decades, two dimensional face recognition has been one of the most important and attractive research areas in computer vision. However, pose and illumination variations in the face images have been the dominant factors which have hindered many practical applications of two dimensional face recognition systems. In order to overcome these limitations and inherent drawbacks of two di...

Earth scientists have always been interested in the description and analysis of surfaces, particularly those which serve to describe mapped data. The methods used in this context fall into two categories, written descriptions (using terms such as dip, strike, plunge, isoclinal folding, attitude of axial plane, iaiiation etc.1 and mathematical approximations. To overcome the inadequacies of verb...