Approximation of point clouds in two dimensions using chebyshev polynomials

This thesis investigates the approximation of point clouds by utilizing chebyshev polynomials in two dimensions. In particular, a two dimensional chebyshev polynomial functtion is defined as an approximated surface of the point clouds. Moreover, by incorporating fast fourier transform in the determination of Chebyshev coefficients, Chebyshev polynomials can be accomplished with the low computat…