Mathematics

Euler's formula

Algorithm

Image (mathematics)

Mathematical optimization

Pixel

Mathematical analysis

Color image

Minification

Artificial intelligence

Color constancy

Contrast (vision)

Color correction

Computer science

Computer vision

Image processing

IEEE Transactions on Image Processing

In this paper, we present a discussion about perceptual-based color correction of digital images in the framework of variational techniques. We propose a novel image functional whose minimization produces a perceptually inspired color enhanced version of the original. The variational formulation permits a more flexible local control of contrast adjustment and attachment to data. We show that a numerical implementation of the gradient descent technique applied to this energy functional coincides with the equation of automatic color enhancement (ACE), a particular perceptual-based model of color enhancement. Moreover, we prove that a numerical approximation of the Euler-Lagrange equation reduces the computational complexity of ACE from theta(N2) to theta(N log N), where N is the total number of pixels in the image.

Perceptual Color Correction Through Variational Techniques