CAGD and Scientific Visualization

In this work we investigate the correlation between the two disciplines CAGD and Scientific Visualization. Both are correlated to Computer Graphics but became disciplines of their own and therefore developed rather independently of each other. It is the task of this work to analyze the interapplicability of both disciplines to each other, to find where ideas and methods of one discipline can be applied to the other, and vice versa. In the first part we analyze both disciplines concerning their histories, the present data, and their pipelines. Doing so we obtain concrete expectations on where exactly it makes sense to search for interapplications. Based on these expectations, part two of this work systematically investigates applications of CAGD ideas and methods in Scientific Visualization. Doing so, we do not only collect and systematize existing approaches, we also develop a number of new techniques. Part three of this work deals with the application of of Scientific Visualization in the design process of curves and surfaces. Here we also provide a number of new approaches in addition to the systematization of the existing ones.