We define rectifiability in \(\mathbb{R}^{n}\times\mathbb{R}\) with a parabolic metric terms of \(C^1\) graphs and Lipschitz small constants we characterize it approximate tangent planes measures. also discuss relations between the other notions rectifiability.

A modified edge detection algorithm has been presented here that uses logarithmic transform and Hyperbolic Tangent (HBT) filter. The proposed algorithm incorporates Logarithmic transform along with Luminance and Contrast-Invariant Edge Similarity Measure algorithm for edge detection. The proposed algorithm gives a good quality edge detection of images with improved SSIM value and almost equal o...

We study families of submanifolds in symmetric spaces of compact type arising as exponential images of s-orbits of variable radii. If the s-orbit is symmetric such submanifolds are the most important examples of adapted submanifolds, i.e. of submanifolds of symmetric spaces with curvature invariant tangent and normal spaces.

In the 1964 article "Pelvic Scoring for Elective Induction," obstetrician Edward Bishop describes his method to determine whether a doctor should induce labor, or artificially start the birthing process, in a pregnant woman. Aside from medical emergencies, a woman can elect to induce labor to choose when she gives birth and have a shorter than normal labor. The 1964 publication followed an earl...

In this paper, we first present a new important property for Bouligand tangent cone (contingent cone) of a star-shaped set. We then establish optimality conditions for Pareto minima and proper ideal efficiencies in nonsmooth vector optimization problems by means of Bouligand tangent cone of image set, where the objective is generalized cone convex set-valued map, in general real normed spaces.

this research is considered to be a research to attract attention to the 3D iris compression to store the database of the iris. Actually, the 3D iris database cannot be found and in trying to solve this problem 2D iris database images are converted to 3D images just to implement the compression techniques used in 3D domain to test it and give an approximation results or to focus on this new dir...

We consider dynamic scenes consisting of moving points whose motion is constrained to happen in one of a pencil of planes. This is for example the case when rigid objects move independently, but on a common ground plane (each point moves in one of a pencil of planes parallel to the ground plane). We consider stereo pairs of the dynamic scene, taken by a moving stereo system, that allow to obtai...

in this paper, we study b-focal curves of biharmonic b -general helices according to bishop frame in the heisenberg group heis   finally, we characterize the b-focal curves of biharmonic b- general helices in terms of bishop frame in the heisenberg group heis