Nonlinear operators on graphs via stacks - Jesús Angulo, Santiago Velasco-Forero
Author: Jesús Angulo, Santiago Velasco-Forero
DIO URL: http://dx.doi.org/10.1007/978-3-319-25040-3_70
Creative Commons Attribution-ShareAlike 4.0 International
We consider a framework for nonlinear operators on functions evaluated on graphs via stacks of level sets. We investigate a family of transformations on functions evaluated on graph which includes adaptive flat and non-flat erosions and dilations in the sense of mathematical morphology. Additionally, the connection to mean motion curvature on graphs is noted. Proposed operators are illustrated in the cases of functions on graphs, textured meshes and graphs of images.