Characterizing protein motions from structure

Critical Motions in Euclidean Structure from Motion

We investigate the motions that lead to ambiguous Euclidean scene reconstructions under several common calibration constraints, giving a complete description of such critical motions for: (i) internally calibrated orthographic and perspective cameras; (ii) in two images, for cameras with unknown focal lengths, either different or equal. One aim of the work was to evaluate the potential of moder...

Structure from Linear or Planar Motions

We recently demonstrated a new approach to mul-tiframe structure from motion from point features which, in the appropriate domain, provably reconstructs structure and motion correctly. The algorithm works for general motion and large perspective eeects. In this paper, we describe how to adapt our approach to translational motion lying along a line or in a plane, with arbitrary rotations. An ana...

Structure from Planar Motions with Small Baselines

We study the multi-frame structure from motion problem when the camera translates on a plane with small baselines and arbitrary rotations. This case shows up in many practical applications, for example, in ground robot navigation. We consider the framework for small baselines presented in [8], in which a factorization method is used to compute the structure and motion parameters accurately, eff...

Characterizing the structure of protein-protein interaction networks

Network theorists have developed methods to characterize the complex interactions in natural phenomena. The structure of the network of interactions between proteins is important in the field of proteomics, and has been subject to intensive research in recent years, as scientists have become increasingly capable and interested in describing the underlying structure of interactions in both norma...

Structure of proper motions in a sunspot penumbra