Image processing in spheric-shaped data using a geographical transformation. Application to bio-cellular imaging

In this article, we put forth the contribution of cartographic map projection in image analysis for 2D and 3D spheric-shaped data. In the 2D case, map projection of the underlying hemispherical surface has the merit to overcome deformations generated by perspective sights. In the 3D case, processing cartographic references of the original spheroid surfaces presents mainly two advantages. On one hand, it decreases significantly the amount of processed data. On the other hand, we avoid extension of exhaustive processes to a higher dimension. We make use of this geographical transformation in several classical image processing applications such as temporal tracking, information visualization, and feature extraction, such as segmentation. These applications are described and results of cell wall simulations are displayed