Digital Image Processing Final Exam Solution

Given a 5x5 image patch (values arbitrary, often A-I): [ \beginbmatrix a & b & c & d & e \ f & g & h & i & j \ k & l & m & n & o \ p & q & r & s & t \ u & v & w & x & y \endbmatrix ] Focus on the pixel ( m ) (center). To apply the Laplacian:

Given a binary image ( A ) (a square of 1s) and a structuring element ( B ) (a cross: ( [0,1,0; 1,1,1; 0,1,0] )), compute the erosion ( A \ominus B ). digital image processing final exam solution

Apply erosion and dilation to a binary image with a 3×3 structuring element. Given a 5x5 image patch (values arbitrary, often

: A mathematical operation where a small matrix (kernel) slides over an image to modify pixel values. : A mathematical operation where a small matrix