Major Development Trends and Modern Condition of Small and Medium Entrepreneurship

World experience suggests that the efficiency of the economic system largely depends on the optimal combination of small, medium and large businesses. The paper reveals the main trends in the development of small and medium-sized businesses in the region. The main areas of activity of SMEs and characteristics are identified.Мировой опыт свидетельствует о том, что эффективность функционирования экономической системы в значительной степени зависит от оптимального сочетания в ней малого, среднего и крупного бизнеса. В работе раскрываются основные тенденции развития малого и среднего предпринимательства в регионе. Определены основные сферы деятельности МСП и характерные черты

Hyperbolic numerics for variational approaches to correspondence problems

Abstract. Variational approaches to correspondence problems such as stereo or optic flow have now been studied for more than 20 years. Nevertheless, only little attention has been paid to a subtle numerical approximation of derivatives. In the area of numerics for hyperbolic partial differential equations (HDEs) it is, however, well-known that such issues can be crucial for obtaining favourable results. In this paper we show that the use of hyperbolic numerics for variational approaches can lead to a significant quality gain in computational results. This improvement can be of the same order as obtained by introducing better models. Applying our novel scheme within existing variational models for stereo reconstruction and optic flow, we show that this approach can be beneficial for all variational approaches to correspondence problems.