For a given DEM with a cell size L. Use to respectively denote the Sobel, Prewitt, Roberts Y-slopes, where the subscrip

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answerhappygod
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For a given DEM with a cell size L. Use to respectively denote the Sobel, Prewitt, Roberts Y-slopes, where the subscrip

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For a given DEM with a cell size L. Use to respectively denote the
Sobel, Prewitt, Roberts Y-slopes, where the subscript
Y is for slope in Y direction, and superscript S,
P, R are respectively for the three slope operators.
Z1
Z2
Z3
Z4
Z0
Z5
Z6
Z7
Z8
a) Write the formulas (operators) of for the central cell
b) Determine , if
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