This diploma thesis deals with the creation of interactive tools for 3D computer graphics. The introduction of the thesis focuses on general theory of curves and surfaces and its mathematical description. The topics of Geometric transformation, Perspective projection and Parametric description of 3-dimensional surface are analysed in more detail. The successive chapter deals with the subject of visualisation of spatial objects in Java platform interface. The practical part describes the implementation of individual applets. JAVA programming language, which uses the library functions JOGL, was employed for the very realization of the interactive tools. The goal of the diploma thesis is the creation of a set of interactive applets in the field of computer graphics. These applets will be placed on the website of the faculty and they will serve students of VUT in Brno to improve the quality of education.