A simple expression for the map of Asplund's distances with the multiplicative Logarithmic Image Processing (LIP) law

This work provides an incremental improvement for researchers in mathematical morphology and image processing by simplifying the calculation of Asplund's distances.

The paper tackled the problem of computing Asplund's distances in image processing by introducing a simple expression using the multiplicative Logarithmic Image Processing law, resulting in a formulation that involves a difference between morphological dilation and erosion with an additive structuring function, akin to a morphological gradient.