This module extends the ideas of the Discrete Fourier Transform (DFT) into two-dimensions, which is necessary for any image processing.

An explanation of how to add various types of multimedia objects to your Connexions content. Examples of some of the more common multimedia objects are included.

One method for interpolating the pixel values of several low-resolution (LR) images to create a single high-resolution (HR) image is to approximate the patches of a Delaunay triangulation with bivariate polynomials.

Triangulation is a tool that divides a surface into regions with certain common characteristics. The type of these characteristics depends on the type of triangulation. Delaunay triangulation can divide a surface into regions that are particularly well-suited for image processing applications.

Simulation and visualization enhance understanding of communication system behavior and performance. In this project, develop a simple model for a transmitter, channel, and receiver, and study the performance of the system in terms of bit error rate (BER). Channel errors are visualized as images and "auralized" as sound to further develop insight into the relationships between bit error rate and message length.

Designed to increase students' understanding of, appreciation for, and ability to do documentary photography and photojournalism. Each three-hour class is divided between a discussion of issues and readings, and a group critique of students' projects. Students must have their own photographic equipment and be responsible for processing and printing: either by student or commercial lab. Students must show basic proficiency with their equipment. Readings include Susan Sontag, Robert Coles, Ken Light, Eugene Richards, and others. Previous photographic experience required.

Our results illustrate that redundant dictionaries can reveal the innate structure of signals - sharp lines and gradual changes in color can represent themselves as artifacts in a compressed image. The conciseness of the representations depends on both the dictionary chosen and the nature of the signal, the compression rates will vary depending on their similarities. In real world situations, ie those in which we could gather an idea of the kind of signal we were trying to represent, it would be possible to choose a more "fitting" basis. This project was very effective at helping us to better understand the basics of signal processing in different domains. Unfortunately, a comparison of the images generated with a non-redundant basis, as opposed to those with an overcomplete basis, suggests that compression schemes that use a single basis are superior to the new, multiple basis schemes (with the exception of the dirac basis). It is important to understand, however, that this is probably due to the very nature of a greedy algorithm (particularly their propensity to paint themselves into corners), and, as our research suggests, is one of the major unsolved problems facing the field of image compression over redundant dictionaries. Also, it should be noted that, while the images generated look different, they have very similar levels of error when calculated strictly mathematically (ie power of the resultant over power of the original signal).

Given that no consumer grade digital cameras can produce images with more than at most about 12-bits per color channel, and 8-bits per color channel is more common, to manipulate HDR images (of say 32-bits per color channel), one must find a way to "estimate" the 8-bits up to 32-bits. This creation of an HDR image can be accomplished using multiple images at different exposure levels (stops).

This is the source code used to generate HDR images from LDR images, all the tone operators used to map back from HDR to LDR space, and the test code.

Introduction to "Art History and Its Publications in the Electronic Age", Part II, "The Image Economy".

Gives the highlights of the projective flow algorithm we used for image registration.

The module provides an introduction into the concepts of image restoration and filtering.

Centers on historical eras in which the form and function of media technologies were radically transformed. Includes consideration of the "Gutenberg Revolution," the rise of modern mass media, and the "digital revolution," among other case studies of media transformation and cultural change. Readings in cultural and social history and historiographic method.

This item provides examples of code writing: Code for the Classifier when the Background is Subtracted; Code for the Mass Classifier when the Background is Subtracted; Code to Subtract the background from an image; Code for the Fish Classifier and Code for the Mass Fish Counter.

This video segment explores how humans perceive the world through vision. Footage from NOVA: "Mystery of the Senses: Vision."

Here are the three test images, at multiple levels of compression in either dictionary. (Note that 0% compression does not necessarily lead to full recovery - this is a problem inherent in the dct basis. It would likely take more than twice as much data t

An explanation of the mapping from image to sound.

This course is a student-presented seminar in combinatorics, graph theory, and discrete mathematics in general. Instruction and practice in written and oral communication is emphasized, with participants reading and presenting papers from recent mathematics literature and writing a final paper in a related topic.