Miscellany

Numerical Analysis

• Here is nice discussion (from Randall Leveque's book) on measuring errors, including the "Big-oh" notation. [see MeasuringErrors_Leveque.pdf in the Docs subfolder in Dropbox]

Edge Detection

• Here is some Matlab code which illustrates convolution and convolution-based edge detection (this generates a plot and saves a time evolution of the plot into a movie). [sample code]
• Here is template code showing how to estimate jump locations and values from Fourier data using concentration kernels. [concentration kernels]

Prony's Method

• Here is a discussion of Prony's method for Trigonometric curve fitting. [discussion]
• Here is another tutorial on Prony's method. [tutorial]

Matlab

• Here is a good presentation on the benefits of vectorization in Matlab. [slides]
• Here is sample Matlab code from Exercise B [sample code]
• Here is a nice Matlab-based discussion of Fourier analysis. This is a chapter from a book by Cleve Moler, the creator of Matlab. Sections 8.2 and 8.6 (on the FFT) are worth reading. [Fourier Analysis]
• The Documents page of this website now has FFT-enabled partial sum Fourier reconstruction code. (see ComputeFourierReconstruction.m)