Weakly convex polyhedra which are star-shaped with respect to one of their vertices are infinitesimally rigid. This is a partial answer to the question whether every decomposable weakly convex polyhedron is infinitesimally rigid. The proof uses a recent result of Izmestiev on the geometry of convex caps.

Soft micro devices and stretchable electronics have attracted great interest for their potential applications in sensory skins and wearable bio-integrated devices. One of the most important steps in building printed circuits is the alignment of assembled micro objects. Previously, the capillary self-alignment of microchips driven by surface tension effects has been shown to be able to achieve h...

Although many algorithms have been developed so far for structure alignment problem based on either distancebased methods or vector-based methods, such as iterative dynamical programming, Monte Carlo simulation, graph theory, and mean field equations, only a few methods are published for multiple structure alignment, such as progressive structure alignment and Monte Carlo optimization. In this ...

A short, intense laser pulse may be employed to create a spatially aligned molecular sample that persists after the laser pulse is over. We theoretically investigate whether this impulsive molecular alignment technique may be exploited for experiments using x-ray pulses from a third-generation synchrotron radiation facility. Using a linear rigid rotor model, the alignment dynamics of model mole...

In this work, a hybrid approach for the multimodal registration of carotid magnetic resonance and ultrasound images is described. Multimodal registration is vital for integrating or fusing complementary information from different sources into a composite form. It will provide synergistic information about the objects under examination and thus, help in the assessment of carotid artery disease. ...

Stereoscopic laparoscopy provides the surgeon with the depth perception at the surgical site to facilitate fine micro-manipulation of soft-tissues. The technology also enables computer-assisted laparoscopy where patient specific models can be overlaid onto laparoscopic video in real-time to provide image guidance. To maintain graphical overlay alignment of image-guides it is essential to recove...

Loss of sagittal alignment and balance in adult spinal deformity can cause severe pain, disability and progressive neurological deficit. When conservative treatment has failed, spinal fusion using rigid instrumentation is currently the salvage treatment to stop further curve progression. However, fusion surgery is associated with high revision rates due to instrumentation failure and proximal j...

In almost all image-model and model-model registration problems the question arises as to what optimal rigid body transformation applies to bring a physical 3-dimensional model in alignment with the observed one. Data may also be corrupted by noise. Here I will present the exponential and quaternion representations for the SO(3) group. I will present the technique of compounding derivatives and...

tooth/implant supported fixed prostheses may present biomechanical design problems, as the implant is rigidly anchored within the alveolus, whereas the tooth is attached by the periodontal ligament to the bone allowing movement. many clinicians prefer tooth/implant supported fixed prosthesis designs with rigid connectors. however, there are some doubts about the effect of attachment placement i...