Christopher Chedeau Gauthier Lemoine 1

 Algorithms ◦ Erosion & Dilation ◦ Opening & Closing ◦ Gradient ◦ Hit & Miss ◦ Thinning ◦ Top Hat ◦ Convolution ◦ Reconstruction ◦ Watershed ◦ Min-Max Tree 2  Goals ◦ Segmentation ◦ Edge detection ◦ Skeletonization ◦ Image compression ◦ Noise reduction ◦ Feature Detection

 Who ◦ Ecole des Mines – Paris ◦ Georges Matheron ◦ Jean Serra  Theories ◦ Set Theory (Binary) 70’s ◦ Lattice Theory (Grayscale) 80’s ◦ Topology 3 

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 Emboss Edge Detect Blur 19

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 With Markers 25

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 Simple Algorithms  Problem Specific Input  Process Chains 30

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