ABSTRACT. Let G be a compact connected metric abelian group equipped with its normalised Haar measure. Let Tx = a+A(x) be a continuous surjective affine map of G such that γ ≡ 1 is the only character of G satisfying γ ◦A = γ for some positive integer n. Then if φ is a polynomial with real coefficients mapping the natural numbers to themselves, (pl) ∞ l=1 is the sequence of rational primes and f...

This paper presents a novel evolutionary G–continuous (continuous-differentiable curvature) path planner for nonholonomic wheeled mobile robots. The evolutionary path planner generates intermediate configurations connected via η-splines that yields a collision-free G–continuous path, which each point on the path has a closed-form expression. The path planner is implemented as architecture of is...

This paper presents a novel evolutionary G–continuous (continuous-differentiable curvature) path planner for nonholonomic wheeled mobile robots. The evolutionary path planner generates intermediate configurations connected via η-splines that yields a collision-free G–continuous path, which each point on the path has a closed-form expression. The path planner is implemented as architecture of is...

The dynamical behavior of a map on the unit interval has been the subject of much contemporary research. In this paper, we will consider the relation between the continuity of the map cof and cof for some positive integer k, where f is a continuous map from the unit interval to itself, and ?f is a function which takes any element of the unit interval to the set of all subsequential limits o...

Leading up to explicit mirror self-recognition, infants rely on two crucial sources of information: the continuous integration of sensorimotor and multisensory signals, as when seeing one’s movements reflected in the mirror, and the unique facial features associated with the self. While visual appearance and multisensory contingent cues may be two likely candidates of the processes that enable ...

This work is focused on the design and evaluation of a suboptimal classifier for dysarthria assessment. The classification relied on self organizing maps to discriminate 8 types of dysarthria and a normal group. The classification technique provided an excellent accuracy for assessment and enabled clinicians with a powerful relevance analysis of the input features. This technique also allows a ...

We present an approach based on self organizing maps to segment renal arteries from 2D PC Cine MR images to measure blood velocity and flow. Such information are important in grading renal artery stenosis and support the decision on surgical interventions like percutan transluminal angioplasty. Results show that the renal arteries could be extracted automatically. The corresponding velocity pro...

In this article, we introduce the concept of pathways of wellbeing and examine how such paths can be discovered from large data sets using the self-organizing map. Data sets used in the illustrative experiments include measurements of physical fitness and subjective assessments related to diagnosing work stress.