The scope of this paper is to look at some aspects the differential geometry Bezier curves in Minkowski space. For that purpose, we firstly introduce Frenet curve 3-space. Especially, investigate Serret-Frenet frame, curvature and torsion all points. Moreover, give apparatus these end

Abstract This article considers the implementation of one ways to visually display analytical data using a radar chart. The scaling and displaying inscriptions images by sectors Bezier curves is described in detail.

Abstract Splines are one of the main methods mathematically representing complicated shapes, which have become primary technique in fields Computer Graphics (CG) and Computer-Aided Geometric Design (CAGD) for modeling complex surfaces. Among all, Bézier Catmull–Rom splines most common sub-fields engineering. In this paper, we focus on conversion between cubic curve segments, rather than going t...

The matrix forms for curves and surfaces were largely promoted in CAD. These formulations are very compact to write, simple to program, and clear to understand. They manifest the desired basis as a matrix transformation of the common power basis. Furthermore, this implementation can be made extremely fast if appropriate matrix facilities are available in either hardware or software. Derivatives...

In this paper the problem of reconstruction of video frames is addressed, when there are missing pixels in each video frame or is corrupted with noise and also the locations of corrupted pixels are not known. The modified data can be corrected using Forward Error Correcting Codes. Forward Error correcting codes detect and correct errors with the help of complex decoders. This work proposes a ne...

In extending the planar methods to spatial bases, the algorithms require no modifications, as the algorithms are defined abstractly in terms of affine combinations with no regard to the location of the point as two dimensional or three dimensional (or even higher dimensional). In fact, the constructions of Bezier curves and Bezier splines work exactly as before. All that we need to do is supply...