Mathematical Morphology

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Presentation transcript:

Mathematical Morphology Christopher Chedeau Gauthier Lemoine

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

Mathematical Morphology Who Ecole des Mines – Paris Georges Matheron Jean Serra Theories Set Theory (Binary) 70’s Lattice Theory (Grayscale) 80’s Topology http://cmm.ensmp.fr/~serra/pdf/birth_of_mm.pdf

Erosion & Dilation http://www2.ifi.auf.org/personnel/Alain.Boucher/cours/traitement_images/07-Images_binaires.pdf

Structuring Elements http://www.imagemagick.org/Usage/morphology/

Erosion – Disconnect Shapes http://homepages.inf.ed.ac.uk/rbf/HIPR2/erode.htm

Opening & Closing http://www2.ifi.auf.org/personnel/Alain.Boucher/cours/traitement_images/07-Images_binaires.pdf

Gradient http://www2.ifi.auf.org/personnel/Alain.Boucher/cours/traitement_images/07-Images_binaires.pdf

Grayscale http://ia700307.us.archive.org/7/items/Lectures_on_Image_Processing/EECE253_18_GrayMorphology.pdf

Grayscale - Dilation http://ia700307.us.archive.org/7/items/Lectures_on_Image_Processing/EECE253_18_GrayMorphology.pdf

Grayscale - Operations http://ia700307.us.archive.org/7/items/Lectures_on_Image_Processing/EECE253_18_GrayMorphology.pdf

Top Hat http://cmm.ensmp.fr/~serra/cours/pdf/fr/ch3fr.pdf

Top Hat http://www.slideworld.org/viewslides.aspx/Introduction-to-Mathematical-Morphology-ppt-172551

Hit & Miss – Pattern Matching http://www.imagemagick.org/Usage/morphology/

Structuring Elements http://www.imagemagick.org/Usage/morphology/

Thinning - Skeletonization http://www.fmwconcepts.com/imagemagick/morphology/index.php

Skeletonization - Potatoes http://www.mmorph.com/mxmorph/html/mmdemos/mmdpotatoes.html

Skeletonization 3D http://www.esiee.fr/~coupriem/Sdi_eng/squel.html

Convolution Emboss Edge Detect Blur http://manual.gimp.org/en/plug-in-convmatrix.html

Convolution - Sobel http://en.wikipedia.org/wiki/Sobel_operator

Reconstruction http://www.mmorph.com/mmtutor1.0/html/mmtutor/mm060reconstruction.html

Reconstruction - Border http://www.mmorph.com/mmtutor1.0/html/mmtutor/mm060reconstruction.html

Reconstruction - Grayscale http://www.mmorph.com/mmtutor1.0/html/mmtutor/mm060reconstruction.html

Airport Runways http://www.mmorph.com/mxmorph/html/mmdemos/mmdairport.html

Watershed http://cmm.ensmp.fr/~beucher/wtshed.html

Watershed With Markers http://cmm.ensmp.fr/~beucher/wtshed.html

Watershed - Calculator http://www.mmorph.com/mxmorph/html/mmdemos/mmdcalc.html

Min-Max Tree http://www.nanobio.dk/assets/edge_detection.pdf

Min-Max Tree Segmentation http://gps-tsc.upc.es/imatge/pub/ps/IEEE_IP00_Salembier_Garrido.pdf

Min-Max Tree Compression http://gps-tsc.upc.es/imatge/pub/ps/IEEE_IP00_Salembier_Garrido.pdf

Conclusion Simple Algorithms Problem Specific Input Process Chains

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