Mathematics and Computation in Halftoning
Halftoning refers to the representation of a continuous greyscale source image using only black marks on a white background. In the classroom, halftoning can serve as a laboratory in which to learn mathematical and computational concepts -- it can be explored via hands-on art activities and graphics-oriented programming exercises. I will survey a few forms of halftoning that lend themselves to creative exploration, point out the connections they evoke to mathematics and computer science, and talk about a few activities I and others have attempted or considered as educational activities.
At the end of my talk, I will briefly discuss the Bridges Conference, an annual conference on interdisciplinary connections between art and mathematics that will be held in Waterloo this summer.
Bio: Craig S. Kaplan is an Associate Professor of Computer Science at the University of Waterloo. He has a BMath in Pure Mathematics and Computer Science from Waterloo, and an MS and PhD in Computer Science from the University of Washington. Craig studies the application of computer graphics and mathematics to problems in art, architecture and design, and is an expert on topics such as Islamic geometric patterns and computational applications of tiling theory. He also enjoys experimenting with computer-aided art and design using modern technology like 3D printing. He helps organize the annual Bridges Conference on art and mathematics, and is a past editor of Journal of Mathematics and the Arts.