Computer graphics is a broad domain touching many areas of our lives through computers everywhere.
The images the user sees are merely the externally visible signs of a rich world of underlying mathematical representations of objects and operators. In a fundamental sense, computer graphics is about building models of the real world and manipulating them efficiently for broad access by many different people. As dataset sizes grow and the insatiable appetite for ever higher fidelity shows no signs of abating, scalable representations and algorithms are of utmost importance. This includes all stages of acquisition, manipulation, editing, simulation, transmission, and display, and pervades all applications of graphics. A particular challenge to computational harmonic analysis presented by these applications is the sheer size of geometry to be manipulated.