OBJECTIVES This study aims to assess the correlation of CT-based structural rigidity analysis with mechanically determined axial rigidity in normal and metabolically diseased rat bone. METHODS A total of 30 rats were divided equally into normal, ovariectomized, and partially nephrectomized groups. Cortical and trabecular bone segments from each animal underwent micro-CT to assess their averag...

Rigidity theory enables us to specify the conditions of unique localizability in the cooperative localization problem of wireless sensor networks. This paper presents a combinatorial rigidity approach to measure (i) generic rigidity and (ii) generalized redundant rigidity properties of graph structures through graph invariants for the localization problem in wireless sensor networks. We define ...

3 An introduction to rigidity 7 3.1 Local rigidity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.2 Full rigidity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.3 Strong (Mostow) Rigidity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.4 The Zimmer program . . . . . . . . . . . . . . . . . . . . . . . . . . . ...

Rigidity of formations in multi-robot systems is important for formation control, localization, and sensor fusion. This work proposes a rigidity maintenance gradient controller for a multi-agent robot team. To develop such a controller, we first provide an alternative characterization of the rigidity matrix and use that to introduce the novel concept of the rigidity eigenvalue. We provide a nec...

INTRODUCTION Parkinsonian rigidity is described as a uniform increase in resistance to passive motion throughout the entire range of motion. Evidence indicates that rigidity is influenced by both non-neural and neural factors. The non-neural component of rigidity is the result of alterations in the mechanical properties of the muscle and connective tissues [1]. The neural mechanisms underlying ...