The applicability of the Multi-Scale Structure Description (MSSD) scheme to the inverse-folding problems was investigated. An MSSD represents a 3D protein structure with multiple symbolic sequences, where fine structures are represented with the sequence at low levels, the middle scale structural motifs at middle levels, and global topology at high levels. Each symbol in the symbolic sequence d...

Factorization algorithms are increasingly popular to recover 3D rigid structure from video. In this paper, we analyze the rank 1 factorization algorithm to determine what are the most suitable 3D shapes or the best 3D motions to recover the 3D structure from the 2D trajectories of the features. We show that the shape is best retrieved from orthogonal views aligned with the longest and smallest ...

Natural disasters and human interference have endangered heritage structures around the world. Therefore, 3D modeling of buildings is important for historical preservation, particularly in low-income war-affected countries. The majority structure surveying acquisition approaches, terrestrial laser scanning (TLS), total station measurements, or traditional photogrammetry require either high-cost...

We study a 3D fluid-structure interaction (FSI) problem between an incompressible, viscous fluid modeled by the Navier-Stokes equations, and the motion of an elastic structure, modeled by the linearly elastic cylindrical Koiter shell equations, allowing structure displacements that are not necessarily radially symmetric. The problem is set on a cylindrical domain in 3D, and is driven by the tim...

Tertiary structure of proteins provides valuable information on their biochemical functions. But experimental structure determination is still labor-intensive, in spite of technological advances. Therefore, rapid and accurate protein structure prediction method is not only interesting from a theoretical point of view but also practically useful. Currently, homology modeling, or comparative mode...