Medical imaging modalities often provide image material in more than two dimensions. However, the analysis of voxel data sets or image sequences is usually performed using only two{dimensional methods. Furthermore, four{dimensional medical image material (sequences of stacks of images) is available already for clinical diagnoses. Contrarily, four{dimensional image processing methods are almost unknown. We present an active contour model based on balloon models that allows a coherent segmentation of image material of any desired dimension. Our model is based on linear nite elements and combines a shape representation with an iterative segmentation algorithm. Additionally, we present a novel de nition for the computation of external in uences to deform the model. The appearance of relevant edges in the image is de ned by image potentials and a lter kernel function. The lter kernel is applied with respect to the location and orientation of nite elements. The model moves under the in uence of internal and external forces and avoids collisions of nite elements in this movement. Exemplarily, we present segmentation results in 2D (radiographs), 3D (video sequence of the mouth), and 4D (synthetic image material) and compare our results with propagation methods. The new formalism for external in uences allows the model to act on greylevel as well as color images without pre{ ltering.