What is a horizontal or vertical derivative?

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GOleg2014-02-01 18:14:10

Image processing

GOleg, 2014-02-01 18:14:10

Hello! I read this article habrahabr.ru/post/112079/.
I can’t understand what the author means by the concept of a horizontal or vertical derivative, I quote: "... Therefore, if we take the image as the difference between the horizontal and vertical derivatives, and then apply ..."
I really hope for your help. Thank you.

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Sergey, 2014-02-01
@GOleg

robocraft.ru/blog/computervision/460.html