How to find rgb image edge detection using component gradient operator?

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Priyanka 2012-4-2

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https://ww2.mathworks.cn/matlabcentral/answers/34276-how-to-find-rgb-image-edge-detection-using-component-gradient-operator

In my project there is RGB image edge detection using component gradient operator in this one arbitrary vector is defind. p is an arbitrary vector in RGB color space: P=[ Pr Pg Pb]=[r g b] This equation indicates that the components of p are simply the RGB components of a color image at a point. We take into account the fact that the color components are a function of coordinets rdinates (x, y) by using the notion: P=[ Pr(i,j) Pg(i,j) Pb(i,j)]=[r(i,j) g(i,j) b(i,j)] The sobel gradient operator of the R ,G and B component is given by the equations: Gver(i,j)=(P(i-1,j-1)+2.*P(i-1,j)+P(i-1,j+1))-(P(i+1,j-1)+2.*P(i+1,j)+P(i+1,j+1));

Ghor(i,j)=(P(i-1,j-1)+2.*P(i,j-1)+P(i+1,j-1))-(P(i-1,j+1)+2.*P(i,j+1)+P(i+1,j+1)); eqauation for laplacian and laplace with angle element according there masks are lap1(i,j)=5.*P(i,j)-(P(i+1,j)+P(i-1,j)+P(i,j+1)+P(i,j-1));

di(i,j)=(P(i+1,j-1)+P(i+1,j+1)+P(i-1,j+1)+P(i-1,j-1)+P(i+1,j)+P(i-1,j)+P(i,j+1)+P(i,j-1))-8.*P(i,j); I am not understand that how to define this arbitrary vector P and how to impliment these equations in matlab.