This master’s project addresses the obstacle avoidance problem in difficult scenarios in three-dimensional workspaces. The main contribution of this project is the theoretical extension of the ObstacleRestriction Method (ORM) in two dimensions to work in 3D workspaces. This master’s thesis describes a reactive obstacle avoidance technique to drive a robot in dense, cluttered and complex environ...

Many conventional methods employed in the assessment of balance and mobility in the elderly are expensive, difficult to administer, rely heavily on complex technology, or provide limited functional information so essential to the planning and implementation of rehabilitation interventions. The author has developed a functionally oriented obstacle course for use in the rehabilitation setting, to...

A novel real-time reaction obstacle avoidance algorithm (RRA) is proposed for autonomous underwater vehicles (AUVs) that must adapt to unknown complex terrains, based on forward looking sonar (FLS). To accomplish this algorithm, obstacle avoidance rules are planned, and the RRA processes are split into five steps Introduction only lists 4 so AUVs can rapidly respond to various environment obsta...

This paper generalizes the concept of velocity obstacles [3] to obstacles moving along arbitrary trajectories. We introduce the non-linear velocity obstacle, which takes into account the shape, velocity and path curvature of the moving obstacle. The non-linear v-obstacle allows selecting a single avoidance maneuver (if one exists) that avoids any number of obstacles moving on any known trajecto...

We deal with the acoustic inverse scattering problem for detecting an obstacle with mixed boundary conditions from the far field map. We show how the geometric properties and the material parameter distributed on the surface are involved in the obstacle reconstruction numerically. The main advance of this research on our recently work (SIAM J. Applied Math, 67(4), 2007) is the higher-order asym...

nanotechnology has been shown to have promising roles in the development of various industries including the agricultural sector. the primary purpose of this study was to investigate the researchers’ attitude and the obstacle hampering the development of nanotechnology in the agricultural sector of iran. the population of this study consisted of researchers in national research centers/institut...

<p style='text-indent:20px;'>In the present work we introduce and study a new method for solving inverse obstacle problem. It consists in identifying perfectly conducting inclusion <inline-formula><tex-math id="M1">\begin{document}$ \omega $\end{document}</tex-math></inline-formula> contained larger bounded domain id="M2">\begin{document}$ \Omega via boundary me...

Identification of genetic loci in complex traits has focused largely on one-dimensional genome scans to search for associations between single markers and the phenotype. There is mounting evidence that locus interactions, or epistasis, are a crucial component of the genetic architecture of biologically relevant traits. However, epistasis is often viewed as a nuisance factor that reduces power f...

We study the regularity of the free boundary in the fully nonlinear thin obstacle problem. Our main result establishes that the free boundary is C near any regular point. This extends to the fully nonlinear setting the celebrated result of Athanasopoulos-Caffarelli-Salsa [ACS08]. The proofs we present here are completely independent from those in [ACS08], and do not rely on any monotonicity for...