Representing The Ellipse Using Wavelets

The following images show the ellipse projected onto the wavelets and then projected back to see how they compare to the data. The graph shows the data in red and the wavelet version in green, and as can be seen the data and wavelets show almost the exact same locations. The first graph is the ellipse points, the second the x points, and the third the y points.

One issue that came up was that the calculations on the wavelets came up with incorrect results when I used the program on a Linux machine. The code implements classes from the VNL library like vnl/algo/vnl_matrix_inverse and vnl/vnl_matrix to complete the computations. When run on a Linux machine the results showed that the wavelets version of the data were off at the edges and when I tried to transform the y points, it gave totally incorrect results like as follows with the data in green and the wavelet fit in red.