The Image Curvature Microscope: Accurate Curvature Computation at Subpixel Resolution
Adina Ciomaga, Pascal Monasse, Jean-Michel Morel
⚠ This is a preprint. It may change before it is accepted for publication.


We detail in this paper the numerical implementation of the so-called image curvature microscope, an algorithm that computes accurate image curvatures at subpixel resolution, and yields a curvature map conforming with our visual perception. The curvatures are evaluated directly on the level lines of the bilinearly interpolated image, after their independent smoothing, a step necessary to remove pixelization artifacts. The online algorithm allows the user to visualize the image of curvatures at different resolutions, as well as the set of level lines before and after smoothing.