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Code Listing by David Young

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This function can be used instead of CONV2 (with the same arguments). It will produce the same results to within a small tolerance, and may be faster in some cases (and slower in others). Two additional shape options are included, offering periodic and reflective boundary conditions.

The Convolution Theorem states that convolution in the time or space domain is equivalent to multiplication in the frequency domain. Convolution may...

An affine (or first-order) optic flow model has 6 parameters, describing image translation, dilation, rotation and shear. The class affine_flow provides methods to estimates these parameters for two frames of an image sequence.


Finding corresponding features in a pair of images is the basis of many optic flow, stereo vision and image registration algorithms. One straightforward approach to finding a match is to take a small patch of one image, compute its sliding...

This is an emulator for the machine described in Computer Science: An Overview, 10th edition, by J. Glenn Brookshear (Pearson Education, 2008). It is extended with some additional instructions and the machine is equipped with a bitmapped...

MapN provides a multidimensional map container.

A MapN object contains key lists and values. A value is some unit of data that you want stored in the MapN object, and a key list is a unique reference to that data.

MapN is...

There are 256 elementary cellular automata, where "elementary" means that there is a single row of cells, with binary values, and update rules that depend only on nearest-neighbour interactions. They are described at...

log(cos(Z)) and log(sin(Z)) return infinities for abs(imag(Z)) > 711 in double precision, or abs(imag(Z)) > 90 in single precision. The overflow occurs in the trigonometric function; the correct final result has about the same magnitude as...

Given an array, it is possible to imagine a virtual array formed by padding the original array out in all directions. Valid subscripts for this virtual array range through all the negative and positive integers, without regard to the size of the...

Carries out Gaussian smoothing followed by differencing as a way of estimating the gradients of a grey-level image in the X and Y directions. This is the initial stage of the well-known Canny edge detector, but the gradients can be used for many...

This demonstration is intended for people who know something about the theory of the discrete Fourier transform, and who would find it helpful to see some its properties demonstrated graphically, using a programming language.