Mann, StephenFang, Xiang2018-01-082018-01-082018-01-082017http://hdl.handle.net/10012/12816In this thesis, a quartic Clough-Tocher interpolation scheme is introduced, and additional modifications, to adjust the macro-boundary and the order of continuity across domain triangles, are provided to improve both the mathematical and the visual quality of the resulting surface. Furthermore, a proof is given to show the convergence of the interpolation scheme under some specific constraints.enTriangular Bézier PatchesClough-Tocher InterpolationLeast SquaresMaster Thesis