MATH 5437G - Mathematics and Computation of Curves and Surfaces (3 Credit Hours)

Lecture Hours: 3 Lab Hours: 0
This course is a study of the mathematical and computational techniques used for the computer generation of curves and surfaces. The primary representations for the curves and surfaces are univariate and multivariate polynomials and splines in the Bernstein/Bezier and B-spline bases. These curves and surfaces are used for data fitting (interpolation and smoothing) and approximation. Topics include: recursion, smoothness, surfaces over grids, surfaces over triangulations, simplex and box splines, variational curves and surfaces, transformations and projections. Graduate students will complete assignments beyond the scope of the undergraduate requirements. These assignments require higher-level mastery of the subject matter and additional deliverables representative of graduate-level work, as determined by the instructor.

Prerequisite(s): A minimum grade of “C” in MATH 2243 and MATH 2160.
Cross Listing(s): MATH 5437.
Restriction(s): NO Undergraduate Level Students