This paper concentrates on the requirements of being an integral curve for geodesic spray natural lift curves spherical indicatrices timelike-spacelike involute-evolute pair in Lorentz 3-space. In addition, obtained results were supported by one example.

The goal of this paper is to characterize the evolute, involute and parallel curves a Bezier curve which applicable computer graphics related subjects. Especially, these couples are investigated at endpoints. Moreover, curvatures given.

A 43-year-old woman with two incidental paraclinoid internal carotid artery aneurysms underwent coil embolization of the larger superior hypophyseal aneurysm and 10 weeks later underwent follow-up angiography that showed regression of the smaller, more distal paraclinoid aneurysm. We demonstrate that, although it is a rare occurrence, aneurysms can involute. We discuss potential mechanisms of t...

The problem of accurate determination of the position, orientation and width of involute spur gear teeth using a single front-lit image is addressed. The information is used to compute global measures of tooth concentricity and pitch variations across a gear wheel. The approach is based on the use of specialised filters which make maximum use of the grey level information available in the image...