Course unit
Mathematical Geometry
Last updated: 22/02/2024
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Course Director(s):
DEBAYLE Johan
General Description:
The objective of this UP is to master the mathematical concepts and tools for the extraction of geometrical and morphometrical characteristics from images for using them in learning tools.
This UP is mainly composed of lectures (15h), tutorials using Matlab (15h). Two exams, theoretical (1,5h) and practical using Matlab (1,5h), will evaluate the learning of this UP.
Key words:
Convex geometry
Integral geometry
Fractal geometry
Stochastic geometry
Image analysis
Number of teaching hours
33
Fields of study
Computer Science, Information Systems
Mathematics
Teaching language
French
English
Intended learning outcomes
| On completion of the unit, the student will be capable of: |
Classification level |
Priority |
Learning assessment methods
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Percentage ratio of individual assessment
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Percentage ratio of group assessment
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Written exam:
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50
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%
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Project submission:
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0
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%
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|
Individual oral exam:
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0
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%
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Group presentation:
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0
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%
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Individual presentation:
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0
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%
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Group practical exercise:
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50
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%
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Individual practical exercise:
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0
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%
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Group report:
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0
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%
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Individual report:
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0
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%
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|
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Other(s): 0 %
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Programme and content
| Type of teaching activity |
Content, sequencing and organisation |
| Course |
6 lectures / 15h : • Geometric Measure Theory (1.5h) • Convex and Integral Geometry (3h) • Stochastic Geometry (3h) • Stereology (3h) • Fractal Geometry (3h) • Morphometry (1.5hs) |
| Practical courses |
6 tutorials using Matlab / 15h : • Geometric Measure Theory (1.5h) • Convex and Integral Geometry (3h) • Stochastic Geometry (3h) • Stereology (3h) • Fractal Geometry (3h) • Morphometry (1.5h) |