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How do you get 3D gradient direction and magnitude ?

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Gary Tsui
Gary Tsui on 16 Nov 2013
Commented: Youssef Khmou on 16 Nov 2013
Hi all,
I know that we can get the magnitude and direction from 2D gradient ?
1) mag(Gx,Gy) = sqrt ( Gx^2 + Gy^2 )
2) angle(Gx, Gy) = tan^-1 (Gy/Gx)
What about in 3D?
1) mag(Gx,Gy,Gz) = sqrt ( Gx^2 + Gy^2 + Gz^2 )
2) angle(Gx,Gy,Gz) = ???
I seriously need your help. Many, many thanks, Gary

Answers (1)

Matt J
Matt J on 16 Nov 2013
I'd probably define direction this way
angle(Gx,Gy,Gz) = [Gx,Gy,Gz]/mag(Gx,Gy,Gz)
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