COMPGV11 - Geometry of Images

This database contains the 2016-17 versions of syllabuses. Syllabuses from the 2015-16 session are available here.

Note: Whilst every effort is made to keep the syllabus and assessment records correct, the precise details must be checked with the lecturer(s).

Code COMPGV11 (Also taught as: COMPM081)
Year MSc
Prerequisites N/A
Term 2
Taught By Simon Arridge (50%)
Lewis Griffin (50%)
Aims To introduce the generalisation of image processing to n-Dimensional data : volume data, scale space, time-series and vectorial data.
Learning Outcomes To understand the principles of image processing in n-dimensions, time-series analysis and scale space, and to understand the relations between geometric objects and sampled images.

Content:

0. Basic Image Operations
Fourier Transforms
Convolution and Differentiation in Fourier Domain Recursive Filters
Marching Square/Cubes
Level Set Methods

1. Introduction to Differential Geometry
1.1 Images as functions
- Definitions
- Taylor Series expansion and the Koenderick jet
- Properties of the local Hessian<