Г I ∆ and B I ∆ correspondingly along horizontal and vertical scanlines are constant values and this eliminates necessity of their computing for every rasterization line. Let’s find out interconnection between growth of color intensities along horizontal and vertical rasterization lines. It’s proved that growth of intensities H I ∆ , V I ∆ and D I ∆ in horizontal, vertical and diagonal directions correspondingly are constants and are equal.

On devices without battery consuming and specialized hardware for rendering, it is important to improve the speed and quality so that these methods are suitable for real-time rendering. Furthermore such algorithms are needed on the coming multicore architectures. We show how the methods by Gouraud and Phong, the commonly most used methods for shading, can be improved and made faster for both software rendering as well as simple low energy consuming hardware implementations. Moreover, this paper summarizes the authors' achievements in increasing shading speed and performance and a Bidirectional Reflectance Distribution Function is simplified for faster computing and hardware implementation.

The stability conditions for a bubble domain in the fields of magnetostatic traps are analyzed. For this purpose the quasi-stationary equations of bubble motion are derived which take into account field nonuniformity across the bubble diameter. The contribution of the Permalloy overlay is considered qualitatively. The conditions of static and dynamic stability of trapped bubbles are studied and th...