Research in computer graphics and computer-aided geometric design is primarily concerned with the development of techniques for modeling and visualizing complex geometric objects such as autombile bodies, airplane fuselages - as well as three-dimensional volume data, such as the outputs of medical computed tomography (CT) scanners, or of computational fluid dynamics simulations. Our efforts typically embrace a wide range of activities in computer science, physics, and mathematics.
Recent and current projects in modeling include: the development of mathematical representations for smooth surfaces of arbitrary genus; multiresolution descriptions of geometric objects; and the use of recursive subdivision surfaces in various modeling and data fitting applications.
Recent and current projects in rendering include: the application of interval arithmetic to the display of constructive solid geometry (CSG) models; the computation of global illumination solutions with respect to a constrained set of views; the use of wavelet methods to accelerate global illumination solutions; the reconstruction of illumination functions with selected discontinuities; and the use of error bounds for accelerating the rendering of volume data.
Principal investigators: DeRose, Salesin