Lecture Image and Geometry Processing II:

Numerical Methods in Signal and Image Processing

Tuesdays, 10:15 - 11:55, MN 68

Fridays, 10:15 - 11:45, MN 68

First lecture: 14 April 2015

Thursday, 8:15 - 9:55, NAM Seminarraum (MN 55)

The exercise course starts in the second week with some material additional to the lecture.

The lecture is suitable for students in mathematics, physics and computer science.

There will be oral examinations (20 minutes) in summer.

Attendance of the exercises, oral presentation of two exercise solutions, and 50 percent of the achievable points for homework.

With this lecture + exercises you can obtain 9 ECTS points.

This Lecture Image and Geometry Processing II is concerned with numerical methods for image compression and image denoising. In particular we will focus on the following topics:

1. Introduction

2. Compression of signals and images

2.1 Criteria for image compression

2.2 Data reduction

2.3 Encoding (Huffman-encoding)

2.4 Decorrelation using trigonometric transforms

2.5 Functionality of JPEG

2.6 Compression using wavelet filter banks

3. Image restoration and image denoising

3.1 Introduction: Summary of different methods for image denoising

3.2 Image denoising using nonlinear diffusion filtering

3.3 Regularization methods for image denoising

B. Jähne, Digitale Bildverarbeitung, Springer, 3. Edition, 1993.

S.D. Stearns, D.R. Hush, Digitale Verarbeitung analoger Signale, R. Oldenbourg Verlag München, 1994.

A.V. Oppenheim, R.W. Schafer, Digital Signal Processing, Englewood Cliffs, Prentice Hall, 1975.

S. Mallat, A Wavelet Tour of Signal Processing, Academic Press, San Diego, 1998.

R.C. Gonzalez, R.E. Woods, Digital Image Processing, Addison-Wesley, New York, third edition, 2008.

J. Weickert, Anisotropic Diffusion in Image Processing, Teubner, Stuttgart, 1998.

Research Group for Mathematical Signal and Image Processing

Institute for Numerical and Applied Mathematics

Lotzestr. 16-18

37083 Göttingen