1. An apparatus for direct volume rendering of a 4D deformable volume representing an object in motion, comprising: a data acquisition subsystem configured to acquire an original 3D image dataset of the object, and a plurality of deformed 3D image datasets of the object; a segmentation subsystem configured to segment the original 3D image dataset to identify one or more volumes of interest from the dataset; a deformation matrix generator configured to compute deformation matrices between the segmented original 3D image dataset and the plurality of deformed 3D image datasets; a mesh patch generator configured to generate deformed mesh patches for the deformation matrices; a texture subsystem configured to dynamically sample the segmented original 3D image dataset to generate a plurality of sampled slices having textures, the texture subsystem further configured to apply the textures to the deformed mesh patches; an evaluator configured to resample the deformed mesh patches and the applied textures; and a compositor configured to composite the resampled deformed mesh patches to generate a volume-rendered image of the object in motion.