A theory of volumetric growth on differentiable manifolds is presented. A balance law for an extensive property, that includes a source term, induces material structure and bodies. Transformation rules for the basic variables that represent growth, under a change of frame in the physical event space, are examined and the material frame, where the volumetric growth has a simple canonical form, i...

Medical imaging applications produce large sets of similar images. Thus a compression technique is useful to reduce space storage. Lossless compression methods are necessary in such critical applications. Volumetric medical data presents strong similarity between successive frames. In this paper we investigate predictive techniques for lossless compression of video sequences applied to volumetr...

By introducing redundant Klee-Minty examples, we have previously shown that the central path can be bent along the simplex path. In this paper, we seek for an analogous result for the volumetric path defined by the volumetric barrier function. Although we only have a complete proof in 2D, the evidence provided by some illustrations anticipates that a KleeMinty construction exists for the volume...