What kinds of post-process transformations make sense for immersive photographs and video? We can rotate the sphere, but is there an analog to zoom in flat video?
It turns out that there is a not-so-obvious, but mathematically natural way to zoom. As an application, we use this to create looping worlds. Other functions can "unwrap" the sphere, producing other Escher-like impossible images and video.
The code to generate these effects is written in Python, and much of it is available on GitHub.
Date and time for this talk at IVRPA Belfast 2019 is TBD.
Henry Segerman received his masters in mathematics from the University of Oxford, and his Ph.D. in mathematics from Stanford University. He is currently an associate professor in the Department of Mathematics at Oklahoma State University. His research interests are in three-dimensional geometry and topology, and in mathematical art and visualization. In visualization, he works in…