Small MU Segments: Static Segments or Control Points? A Path Forward

Computing Closest Points for Segments

Backward and forward path following control of a wheeled robot

A wheeled mobile robot is one of the most important types of mobile robots. A subcategory of these robots is wheeled robots towing trailer(s). Motion control problem, especially in backward motion is one of the challenging research topics in this field. In this article, a control algorithm for path-following problem of a tractor-trailer system is provided, which at the same time provides the ab...

Segments and Hilbert schemes of points

Using results obtained from a study of homogeneous ideals sharing the same initial ideal with respect to some term order, we prove the singularity of the point corresponding to a segment ideal with respect to a degreverse term order (as, for example, the degrevlex order) in the Hilbert scheme of points in Pn. In this context, we look into the properties of several types of ‘‘segment’’ ideals th...

Measuring Bottleneck Bandwidth of Targeted Path Segments

Accurate measurement of network bandwidth is crucial for exible Internet applications and protocols which actively manage and dynamically adapt to changing utilization of network resources. These applications must do so to perform tasks such as distributing and delivering high-bandwidth media, scheduling service requests and performing admission control. Extensive work has focused on two approa...

All Approximating Segments for a Sequence of Points

In this paper, we consider the problem of approximating a sequence of n points by a line segment in such a way that the distance of each point from this segment is not greater than a given constant. Furthermore, the distance between the first(last) input point and the start(end)-point of the approximating segment must not be greater than the given constant. This is a sub-problem in solving unre...