TL;DR: The results of the paper provide a low-order parametric family of stabilizable collectives that offer a set of primitives for the design of higher-level tasks at the group level.
Abstract: This paper proposes a design methodology to stabilize isolated relative equilibria in a model of all-to-all coupled identical particles moving in the plane at unit speed. Isolated relative equilibria correspond to either parallel motion of all particles with fixed relative spacing or to circular motion of all particles with fixed relative phases. The stabilizing feedbacks derive from Lyapunov functions that prove exponential stability and suggest almost global convergence properties. The results of the paper provide a low-order parametric family of stabilizable collectives that offer a set of primitives for the design of higher-level tasks at the group level
TL;DR: A design methodology to stabilize relative equilibria in a model of identical, steered particles moving in the plane at unit speed to show how previous results assuming all-to-all communication can be extended to a general communication framework.
Abstract: This paper proposes a design methodology to stabilize relative equilibria in a model of identical, steered particles moving in the plane at unit speed. Relative equilibria either correspond to parallel motion of all particles with fixed relative spacing or to circular motion of all particles around the same circle. Particles exchange relative information according to a communication graph that can be undirected or directed and time-invariant or time-varying. The emphasis of this paper is to show how previous results assuming all-to-all communication can be extended to a general communication framework.
TL;DR: In this paper, the instrument to manipulate the tissue of a body of a patient has jaws (15a, 15b) that move away from each other in a parallel motion.
Abstract: The instrument to manipulate the tissue of a body of a patient has jaws (15a, 15b) that move away from each other in a parallel motion. The artiuclating means for the jaws comprises a scissor type linkage (24a, 24b, 25a, 25b) constrained within a support (11). Movement of the jaws (15a, 15b) is enacted through the reciprocating rod (14) acting upon one end of said scissors linkage.
TL;DR: The authors present an efficient block-matching algorithm called the parallel hierarchical one-dimensional search (PHODS) for motion estimation that is more suitable for hardware realization of a VLSI motion estimator.
Abstract: The authors present an efficient block-matching algorithm called the parallel hierarchical one-dimensional search (PHODS) for motion estimation. Instead of finding the two-dimensional motion vector directly, the PHODS finds two one-dimensional displacements in parallel on the two axes (say x and y) independently within the search area. The major feature of this algorithm is that its search speed for the motion vector is faster than that of the other search algorithms on account of its simpler computations and parallelism. Compared with previous research in terms of four measurements, the PHODS can rival those algorithms for performance. The hardware-oriented features of the PHODS, i.e., regularity, simplicity, and parallelism, guarantee that the PHODS is more suitable for hardware realization of a VLSI motion estimator. >
TL;DR: In this article, the authors decouple the merging candidate list derivation and motion estimation for merge mode and skip mode and the advanced motion vector predictor (AMVP) candidate list construction from regular motion estimation to increase the coding quality in parallel motion estimation.
Abstract: Methods for improved parallel motion estimation are provided that decouple the merging candidate list derivation and motion estimation for merge mode and skip mode and the advanced motion vector predictor (AMVP) candidate list construction from regular motion estimation to increase the coding quality in parallel motion estimation while meeting throughput requirements. This decoupling may be accomplished by modifying the availability rules for spatial motion data (SMD) positions for construction of the candidate lists. As part of the decoupling, largest coding units (LCUs) of a picture may be divided into non-overlapping parallel motion estimation regions (PMER) of equal size. Within a PMER, motion estimation for merge mode, skip mode, and normal inter-prediction mode may be performed in parallel for all the prediction units (PUs) in the PMER.