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Course on

Advanced Morphological Signal/Image Processing

 

Seminar in the framework of the "Master en Technologías, Sistemas y Redes de Comunicación "

Escuela Técnica Superior de Ingenieros de Telecomunicación - Universitat Politècnica de València - April 2010

 

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Duration: 10 hours

 

Lecturer: Jesus Angulo, Centre de Morphologie Mathématique, MINES ParisTech, France

 

Prerequisites: A basic course on morphological image processing

 

Material: Slides in English, with detailed technical description of operators and filters, illustrated with signal and image examples, and references to main publications

 

Evaluation: Two exercises to be solved after the course (homework)

 

Contents.

 

Part I. Elements of morphological filtering [Slides]

 

1. Remind on fundamental morphological operators

2. Gradients and top-hats

3. Granulometry and pattern spectrum

4. Alternate filters and other products of openings and closings

5. Contrast and center

 

Part II. Self-dual morphological operators and filters [Slides]

 

1. Self-duality in signal/image processing

2. Median filter and robust modifications of median

3. Complete semilattice and operators

4. Erosion and opening in difference and reference semilattices

5. Leveling operator

 

Part III. Non-flat numerical mathematical morphology [Slides]

 

1. Volumic grey-level morphological operators

2. a-transformed grey-level dilation and erosion

3. Paraboloid structuring functions: “eigenfunctions” of the slope transform