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The dilation of a dark-blue square by a disk, resulting in the light-blue square with rounded corners. In binary morphology, dilation is a shift-invariant (translation invariant) operator, equivalent to Minkowski addition.
The dilation of the dark-blue square by a disk, resulting in the light-blue square with rounded corners. The dilation of A by the structuring element B is defined by A ⊕ B = ⋃ b ∈ B A b . {\displaystyle A\oplus B=\bigcup _{b\in B}A_{b}.}
The opening of the dark-blue square by a disk, resulting in the light-blue square with round corners. In mathematical morphology, opening is the dilation of the erosion of a set A by a structuring element B: = (),
The erosion of the dark-blue square by a disk, resulting in the light-blue square. Erosion (usually represented by ⊖) is one of two fundamental operations (the other being dilation) in morphological image processing from which all other morphological operations are based.
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Let X be an affine space over a field k, and V be its associated vector space. An affine transformation is a bijection f from X onto itself that is an affine map; this means that a linear map g from V to V is well defined by the equation () = (); here, as usual, the subtraction of two points denotes the free vector from the second point to the first one, and "well-defined" means that ...
A gay Georgia couple convicted of sickening sexually abuse of their two adopted sons will spend the rest of the lives behind bars.. William and Zachary Zulock, 34 and 36, were each sentenced last ...
Adding an exclamation point to a two-week siege widely considered the nation's worst, most prolific cold outbreak, a Blue Norther plowed through the Plains on Feb. 10 and 11, 1899.