Local curvature represents an important shape parameter of space curves which are well described by differential geometry. We have developed an estimator for local curvature of space curves embedded in n-dimensional (n-D) grey-value images. There is neither a segmentation of the curve needed nor a parametric model assumed. Our estimator works on the orientation field of the space curve. This or...

In this paper we give the characterization of hyperspherical curves in n-dimensional k-isotropic space I n.

Dependability benchmarks should provide costeffective ways to evaluate the behavior of components and computer systems in the presence of faults, allowing the quantification of dependability attributes or the characterization of the systems into well defined dependability classes. Beyond existing evaluation techniques, a dependability benchmark should represent an agreement accepted by the comp...

We consider clusters formed by points randomly distributed in space, each point being connected to its nearest neighbor or to its nearest and next nearest neighbors. The size distribution of such clusters in n-dimensional space is presented.

Facial feature extraction is one of the most important challenges in the area of facial image processing. This paper introduces a new method for locating eye features that is capable of processing images rapidly while achieving high detection rates. The proposed method is applicable to an n-dimensional space. Therefore, a new representation is considered for image, where an m×n image consists o...

In this paper, we introduce the SP -integral and the SPα-integral defined on an interval in the n-dimensional Euclidean space Rn. We also investigate the relationship between these two integrals.

For simplicity, we use the following convention: a, b, s, s1, r, r1, r2 denote real numbers, n, i denote natural numbers, X denotes a non empty topological space, p, p1, p2, q denote points of E n T, P denotes a subset of the carrier of E n T, and f denotes a map from E T into R . Let n, i be natural numbers and let p be an element of the carrier of E T. The functor Proj(p, i) yielding a real n...