Technical report: A Cotangent Laplacian for Images as Surfaces
Alec Jacobson
April 23, 2012
We decided to write up a quick, 2 page technical report about some ideas we've had in the last year.
Abstract
By embedding images as surfaces in a high dimensional coordinate space defined by each pixel’s Cartesian coordinates and color values, we directly define and employ cotangent-based, discrete differential-geometry operators. These operators define discrete energies useful for image segmentation and colorization.