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How to find a match between 2 shifted hue histograms?

Hi, i want to implement a feature, which estimate harmonic colors in a image. In the paper Color Harmonization is a visualisation of Harmonic Color templates on the hue wheel:image description

These templates can be rotated up to 360 degree to.

Now i search a method to find de best template for my image. Cohen-Or give us a formula,too: image description, where p is one pixel of the image X, H and S denote the hue and the saturation. He used the arc-lenght metric to callculate the distance between the image and the template /E_t_m(alpha).

I don't know how to find the alpha. (The shiftet template, so i have a good match with my image).

Maybe someone have an idea :)

greetings

How to find a match between 2 shifted hue histograms?

Hi, i want to implement a feature, which estimate harmonic colors in a image. In the paper Color Harmonization is a visualisation of Harmonic Color templates on the hue wheel:image description

These Each of these templates can be rotated up to 360 degree to.degree,too.

Now i search a method to find de best template for my image. Cohen-Or give us a formula,too: image description, where p is one pixel of the image X, H and S denote the hue and the saturation. He used the arc-lenght metric to callculate the distance between the image and the template /E_t_m(alpha).

I don't know how to find the alpha. (The shiftet template, so i have a good match with my image).

Maybe someone have an idea :)

greetings