Course Archives    Theoretical Statistics and Mathematics Unit
Course: Mathematical Morpholoy and Applications
Level: Undergraduate
Time: Currently not offered
Past Exams

Syllabus: Introduction to mathematical morphology: Minkowski addition and subtraction, Structuring element and its decompositions. Fundamental morphological operators: Erosion, Dilation, Opening, Closing. Binary Vs Greyscale morphological operations. Morphological reconstructions: Hit-or-Miss transformation, Skeletonization, Coding of binary image via skeletonization, Morphological shape decomposition, Morphological thinning, thickening, pruning. Granulometry, classification, texture analysis: Binary and greyscale granulometries, pattern spectra analysis. Morphological Filtering and Segmentation: Multiscale morphological transformations, Top-Hat and Bottom-Hat transformations, Alternative Sequential filtering, Segmentation. Geodesic transformations and metrics: Geodesic morphology, Graph-based morphology, City-Block metric, Chess board metric, Euclidean metric, Geodesic distance, Dilation distance, Hausdorff dilation and erosion distances. Efficient implementation of morphological operators. Some applications of mathematical morphology.

Reference Texts:
1. J. Serra, 1982, Image Analysis and Mathematical Morphology, Academic Press London, p. 610.
2. J. Serra, 1988, Image Analysis and Mathematical Morphology: Theoretical Advances, Academic Press, p. 411.
3. L. Najman and H. Talbot (Eds.), 2010, Mathematical Morphology, Wiley, p. 50.
4. P. Soille, 2003, Morphological Image Analysis, Principles and Applications, 2nd edition, Berlin: Springer Verlag.
5. N. A. C. Cressie, 1991, Statistics for Spatial Data, John Wiley.

Top of the page

Past Exams
16.pdf 17.pdf
16.pdf 17.pdf
Supplementary and Back Paper

Top of the page

[ Semester Schedule ] [ Statmath Unit ] [Indian Statistical Institute]