Motion equation averaging in potential autonomous systems

Robustness in Motion Averaging

The averaging of multiple pairwise relative motions in a sequence provides a fast and accurate method of camera motion estimation with a wide range of applications, including view registration, robotic path estimation, superresolution. Since this approach involves averaging in the Lie-algebra of the underlying motion representation, it is non-robust and susceptible to contamination due to outli...

Motion coordination and control in systems of nonholonomic autonomous vehicles

Max-Min averaging operator: fuzzy inequality systems and resolution

 Minimum and maximum operators are two well-known t-norm and s-norm used frequently in fuzzy systems. In this paper, two different types of fuzzy inequalities are simultaneously studied where the convex combination of minimum and maximum operators is applied as the fuzzy relational composition. Some basic properties and theoretical aspects of the problem are derived and four necessary and suffi...

Stroboscopic Averaging for the Nonlinear Schrödinger Equation

In this paper, we are concerned with an averaging procedure, – namely Stroboscopic averaging [SVM07, CMSS10] –, for highly-oscillatory evolution equations posed in a (possibly infinite dimensional) Banach space, typically partial differential equations (PDEs) in a high-frequency regime where only one frequency is present. We construct a highorder averaged system whose solution remains exponenti...

Towards the next generation of Autonomous Compliant Motion systems

This paper gives an overview of our current research on force-controlled compliant motion. The goal is to build an Autonomous Compliant Motion (ACM) system of the next generation, i.e., with more autonomous sensing components and a less explicit, constraint-driven task specification. The ideas developed in the ACM context are useable for other