Interactive function based shape modelling

112 p.In this work, interactive shape modelling is addressed using a function-based approach, where geometric shapes and their properties are defined with mathematical functions. Interactive modification of a function model with concurrent visualisation of the respective polygonal mesh provided both the interactivity and any required level of detail resulting in a photo-realistic appearance of the shapes. Mathematically the same functions are used for defining the shape's geometry as well as colours, which can be interactively applied to the shape. Any of the operators involved in creating the shape can be edited, modified or removed at any time thus allowing for a great flexibility of the modelling pipeline and opening prospects for efficient re-using and improvement of the models previously created.DOCTOR OF PHILOSOPHY (SCE