[IPOL announce] new article: The Image Curvature Microscope: Accurate Curvature Computation at Subpixel Resolution

[announcements about the IPOL journal]

A new article is available in IPOL: http://www.ipol.im/pub/art/2017/212/

Adina Ciomaga, Pascal Monasse, and Jean-Michel Morel,
The Image Curvature Microscope: Accurate Curvature Computation at 
Subpixel Resolution,
Image Processing On Line, 7 (2017), pp. 197–217.
https://doi.org/10.5201/ipol.2017.212

Abstract
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. In contrast to standard methods, which would 
compute the curvature by a finite difference scheme, 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 smoothing step consists in the affine 
erosion of the level lines through a geometric scheme, and can be 
applied in parallel to all level lines. 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.