A two step method has been devised for the statistical inference of deformation changes. In the first step of this method and based on Procrustes analysis of deformation tensors, the significance of the change in a time or space series of deformation tensors is statistically analyzed. In the second step significant change(s) in deformations are localized. In other words, they are assigned to ce...

The recently introduced backward Monte-Carlo method [Johan Carlsson, arXiv:math.NA/0010118] is validated, benchmarked, and compared to the conventional, forward Monte-Carlo method by analyzing the error in the Monte-Carlo solutions to a simple model equation. In particular, it is shown how the backward method reduces the statistical error in the common case where the solution is of interest in ...

Lagrangian particle formulations of the large deformation diffeomorphic metric mapping algorithm (LDDMM) only allow for the study of a single shape. In this paper, we introduce and discuss both a theoretical and practical setting for the simultaneous study of multiple shapes that are either stitched to one another or slide along a submanifold. The method is described within the optimal control ...

It is challenging to transliterate named entities across languages. It is even more challenging to backward transliterate the transliterated term into its original form. This paper addresses the problem of backward translating person name from Chinese to its English counterpart. We propose a statistical backward transliteration method. Our method uses English sub-syllable and Chinese syllable a...

Background Motor intervention plays an important role in reducing the disabilities of Down syndrome (DS). A lack of balance and postural control has created motor problems in DS patients. Therefore, the aim of this study was to examine the effect of backward walking on postural stability of DS patients. Materials and Methods Sixteen DS children with 8-10 age range were selected by convenience s...

Discontinuous deformation analysis (DDA) is a discontinuum-based and implicit method for investigating the deformational behavior of block systems. The constant acceleration integration (CAI) scheme characterized by unconditional stability employed in traditional DDA. In this study, problems CAI regarding time step DDA are pointed out. A too large or small size adopted will have adverse effects...

The deformation of aeronautical monolithic components due to CNC machining is a bottle-neck issue in the aviation industry. The residual stress releases and redistributes in the process of material removal, and the distortion of the monolithic component is generated. The traditional one-side machining method will produce oversize deformation. Based on the three-stage CNC machining method, the q...

In this work, taking the QED effect into account, we investigate shadows of Kerr black holes immersed in uniform magnetic fields through numerical backward ray-tracing method. We introduce a dimensionless parameter $\Lambda$ to characterize strength and studied influence on hole for various spins inclination angles observers. particular, find that photon "hairs" appear near left edge shadow pre...