ABSTRACT
“Curves and surfaces,” together with points, constitute the building blocks of Computer Graphics, and the long list of applications of curves ranges from architectural drawing to visual arts, and from animation movie production to manufacture of tools, automobiles, aircraft, and so forth. In a parallel development, “wavelets” based on the notion of multiresolution analysis was introduced only a little over two decades ago. Since MRA and subdivision methods share the same mathematical structure, it is natural to integrate wavelet and subdivision algorithms to add the valuable curve and surface editing and analysis component to the toolbox of subdivision schemes. Construction of hulls in ship building, by designing and making desirable “curve templates” and using them for the production of wooden ribs, planks emanating from the keel, for the ship hull. The chapter also presents an overview of the key concepts discussed in this book.
