Different subjects perceive shape from shading information similiarly in qualitative form but differently in quantitative detail. We capture this in a model for shape-from-shading inferences that is based on computing the Morse-Smale complex from image gradients. Critical contours, which approximate an artist's drawing, capture robust 1-cells from the image. Our main theorem is that they correspond with critical contours on the surface (slant) for diverse rendering functions.

This presentation is part of Minisymposium “MS57 - Recent Trends in Photometric 3D-reconstruction (2 parts)”
organized by: Jean-Denis Durou (IRIT, Université de Toulouse) , Maurizio Falcone (Dipartimento di Matematica, Università di Roma "La Sapienza") .

Authors:

Steven Zucker (Yale University)

Benjamin Kunsberg (Brown University)

Keywords:

computer vision, image representation, image segmentation, inverse problems