Fundamentals of spatial kinematic geometry. I

Fundamentals of Geometry

Kinematic fundamentals of a biomechatronic laparoscopy system.

BACKGROUND Optical assistance in laparoscopic surgery is essential for an optimal procedure. Unlike conventional surgery, it requires new systems to reduce spatial location time, navigation and cleanliness without compromising surgical quality. This article shows the kinematic analysis of a new bio-mechatronic design to assist laparoscopic visual perspective in real time, either during training...

Solar Interface Dynamos. I. Linear, Kinematic Models in Cartesian Geometry

We describe a simple, kinematic model for a dynamo operating in the vicinity of the interface between the convective and radiative portions of the solar interior. The model dynamo resides within a Cartesian domain, partioned into an upper, convective half and lower, radiative half, with the magnetic di†usivity g of the former region assumed to exceed that of the latter The Ñuid motions that con...

Fundamentals of Spatial Vision

The adult human eye is aproximately 25mm in diameter and weighs about 7g. The anterior section of the eye contains the eye's optical system whose major structures are the cornea, lens, and iris. The cornea provides about two-thirds of the eye's refractive power, but the lens provides ne focus for targets at distances from 20 feet down to about 4 inches (Pugh88). The ciliary muscles attached to ...

Dilatation structures I. Fundamentals

A dilatation structure is a concept in between a group and a differential structure. In this article we study fundamental properties of dilatation structures on metric spaces. This is a part of a series of papers which show that such a structure allows to do non-commutative analysis, in the sense of differential calculus, on a large class of metric spaces, some of them fractals. We also describ...