From the Infinitely Large to the Infinitely Small

Abstract

We conclude the book by covering a wide spectrum of applications of medial symmetries of shape from the infinitely large toward the infinitely small. Our journey starts with a dynamic model of the formation and evolution of galaxies. We move on to the description of geographical information at the scale of regions of planet Earth. Next is the representation of cities, buildings, and archaeological artifacts, followed by the perception of gardens and the generation of virtual plants. Having reached the scale of human activities, we consider the perception and generation of artistic creations, the study of motion and the generation of animated virtual objects, and the representation of geometrically complex systems in machining, metal forging and object design. We then move inside the human body itself with applications in medical imaging and biology, followed by the representation of molecular structures. Our final stop is to consider the abstract scale of the perception of visual information.