How to calculate the L-infinity norm , or what is L-infinity norm

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preet
preet 2013-10-7
评论： Steven Lord 2018-2-20
hello , i want to find the distance between two pixels of same color (here color is quantized color).How do L-infinty help it?

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Walter Roberson
Walter Roberson 2013-10-7
L-infinity norm is max() -- or more correctly, max(abs())
You need to tell us how you want to measure "distance". taxi-cab ? Euclidean?
L-infinity for color pixels would be more relevant to the case where the pixels might be different colors, in which case for some purposes it is useful to calculate the maximum of the differences between the R, G, and B.
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Syed Mohsin Bukhari
Syed Mohsin Bukhari 2018-2-20
What do I do if all elements of the vector are the same when I am taking Infinity Norm? Is it vector length times an element or is it just this same element?
Steven Lord
Steven Lord 2018-2-20
According to the table in the description of the p input argument on the norm function documentation page, for a vector X the Inf norm is max(abs(X)). For a constant vector X, abs(X) will be the same for each element. What's the max of a vector where all the elements are the same?
X = repmat(-2, 1, 10);
N = norm(X, Inf)
N =
2

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