A dynamic Bezier curve model

Sohel, F. A.; Dooley, L . S. and Karmakar, G. C. (2005). A dynamic Bezier curve model. In: IEEE International Conference on Image Processing (ICIP’05), 11-14 Sep 2005, Genoa, Italy.

DOI: https://doi.org/10.1109/ICIP.2005.1530095

Abstract

Bezier curves (BC) are fundamental to a wide range of applications from computer-aided design through to object shape descriptions and surface mapping. Since BC only consider global information with respect to their control points, this can lead to erroneous shape representations, though integrating local control point information minimises this error. This paper presents a new dynamic Bezier curve (DBC) model which combines both localised and global shape information by making a parametric shift of the BC points in the gap between the curve and its control polygon. The value of the shifting parameter is dynamically determined for a prescribed maximum distortion. DBC retains the kernel properties of the BC without increasing computational complexity order. The model's performance has been empirically evaluated on a number of arbitrary-shaped objects from geometric modelling to shape coding. Both qualitative and quantitative results confirm the improvement achieved compared with the classical BC representation.