The inability to control this parameterization leads to poor quality shapes and more effort on the part of designers to alleviate these artifacts. We currently have only rudimentary tools for controlling the parameterization of higher dimensional shapes such as surfaces or volumes. Furthermore, the connection between parameterization and the geometric properties of these shapes is not well understood. Yet this is a degree of freedom that few designers use or understand. The quality and geometric properties of parametric surface representations such as NURBS and subdivision surfaces are strongly dependent on their parameterization. However, in all of these applications the designer is limited by the capabilities of the representations employed. Computer-aided design of curves, surfaces and volumetric functions has applications in diverse fields such as industrial design, the entertainment industry and even architectural design. Whereas in the past engineers and artists often sculpted objects from clay, today most shapes are designed virtually with computers. Computation has also transformed the way we design shapes. The digital age with its widespread availability of cheap computing power has transformed the way we search for information, distribute content and even navigate cities. HCC-Human-Centered Computing, GRAPHICS & VISUALIZATIONÄ 40100 NSF RESEARCH & RELATED ACTIVIT 040100 NSF RESEARCH & RELATED ACTIVIT 040100 NSF RESEARCH & RELATED ACTIVIT 040100 NSF RESEARCH & RELATED ACTIVIT 040100 NSF RESEARCH & RELATED ACTIVIT Primary Place of Performance Congressional District: Scott Schaefer (Principal Investigator) Sponsored Research Office:.CAREER: Parameterization and Tessellation for Computer Graphics NSF Org:
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