make ranges -10 10 std = 1 laplacian of gaussian equals graph it (2-(x^2+y^2)/(1))*e^((-x^2-y^2)/(2*1))/(2*3.14159*(1)) std=2 (2-(x^2+y^2)/(4))*e^((-x^2-y^2)/(2*4))/(2*3.14159*(4)) Gaussian std=1 e^((-x^2-y^2)/(2*1))/(2*3.14159*(1*1)) std=1.4 discrete filter n=9 related to Canny operator Below is Laplacian of a Gaussian 0,0,3,2,2,2,3,0,0 0,2,3,5,5,5,3,2,0 3,3,5,3,0,3,5,3,3 2,5,3,-12,-23,-12,3,5,2 2,5,0,-23,-40,-23,0,5,2 2,5,3,-12,-23,-12,3,5,2 3,3,5,3,0,3,5,3,3 0,2,3,5,5,5,3,2,0 0,0,3,2,2,2,3,0,0 Discrete Gaussian n=5 sigma =1— Do difference of gaussian 0.003765,0.015019,0.023792,0.015019,0.003765 0.015019,0.059912,0.094907,0.059912,0.015019 0.023792,0.094907,0.150342,0.094907,0.023792 0.015019,0.059912,0.094907,0.059912,0.015019 0.003765,0.015019,0.023792,0.015019,0.003765 Discrete Gaussian n=5 sigma=.5 0.000002,0.000212,0.000922,0.000212,0.000002 0.000212,0.024745,0.107391,0.024745,0.000212 0.000922,0.107391,0.466066,0.107391,0.000922 0.000212,0.024745,0.107391,0.024745,0.000212 0.000002,0.000212,0.000922,0.000212,0.000002 Discrete Gaussian n=9 sigma=1.4 0.000031,0.000172,0.000584,0.001217,0.001554,0.001217,0.000584,0.000172,0.000031 0.000172,0.000955,0.003247,0.006761,0.008634,0.006761,0.003247,0.000955,0.000172 0.000584,0.003247,0.011036,0.022985,0.02935,0.022985,0.011036,0.003247,0.000584 0.001217,0.006761,0.022985,0.047869,0.061126,0.047869,0.022985,0.006761,0.001217 0.001554,0.008634,0.02935,0.061126,0.078053,0.061126,0.02935,0.008634,0.001554 0.001217,0.006761,0.022985,0.047869,0.061126,0.047869,0.022985,0.006761,0.001217 0.000584,0.003247,0.011036,0.022985,0.02935,0.022985,0.011036,0.003247,0.000584 0.000172,0.000955,0.003247,0.006761,0.008634,0.006761,0.003247,0.000955,0.000172 0.000031,0.000172,0.000584,0.001217,0.001554,0.001217,0.000584,0.000172,0.000031