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Physics of Magnetic Resonance Imaging 2

Module PH2271

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Module version of SS 2018

There are historic module descriptions of this module. A module description is valid until replaced by a newer one.

available module versions
WS 2019/20WS 2018/9SS 2018

Basic Information

PH2271 is a semester module in English language at Master’s level which is offered every semester.

This Module is included in the following catalogues within the study programs in physics.

  • Specific catalogue of special courses for Biophysics
  • Specific catalogue of special courses for Applied and Engineering Physics
  • Focus Area Imaging in M.Sc. Biomedical Engineering and Medical Physics
  • Complementary catalogue of special courses for condensed matter physics
  • Complementary catalogue of special courses for nuclear, particle, and astrophysics

If not stated otherwise for export to a non-physics program the student workload is given in the following table.

Total workloadContact hoursCredits (ECTS)
150 h 30 h 5 CP

Responsible coordinator of the module PH2271 in the version of SS 2018 was Marion Irene Menzel.

Content, Learning Outcome and Preconditions


This course is the second part of a lectures series, dealing with the physical principles of magnetic resonance imaging.

It starts with a more in-depth look at the connected areas of sampling and reconstruction of MR signals, from which general results about the achievable resolution and the propagation of noise can be obtained. After presenting typical artifacts and their origins, we conclude with a survey of actual rapid imaging techniques.


·         Sampling of k-Space

o   The Sampling Theorem

o   Sampling Requirements of  k-Space Signals

·         Image Reconstruction

o   General Issues

o   Reconstruction from Fourier Transform Samples

·         Resolution, Noise and Artifacts

o   Point Spread Function

o   Image Noise

o   Image Artifacts

·         Rapid Imaging Techniques

o   Spin Echo based

o   Gradient Echo based

o   Echo Planar Imaging

The course continues the first part of the series " Physics of Magnetic Resonance Imaging 1", but can also be visited with adequate prior knowledge.

Learning Outcome

After successful participation in this module the student is able to:

1. to describe the general approach to and interdependency of signal sampling and image reconstruction.

2. to understand, how image quality (resolution, SNR, artifacts) is affected by specific boundary conditions of signal sampling and reconstruction.

 3. describe the most relevant rapid imaging techniques.


No preconditions in addition to the requirements for the Master’s program in Physics.

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VI 2 Physics of Magnetic Resonance Imaging 2 Ganter, C. Karampinos, D. Menzel, M. Preibisch, C.
Assistants: Schilling, F.
Wed, 09:00–12:00, PH 2271

Learning and Teaching Methods

Oral presentation, Quiz, Exercises, Discussions.

Physics of Magnetic Resonance Imaging 2 has 4 homework problem sets. Homework will be handed at the end of selected lectures. In the beginning of the next lecture, the students are able to hand in their solutions, which will not be graded. The solutions of the homework problems will be discussed in class during the first hours of the class when the homework is due.


Whiteboard, Powerpoint presentation


Text book: Principles of Magnetic Resonance Imaging: A Signal Processing Perspective by Zhi-Pei Liang and Paul C. Lauterbur.

Further reading:

Magnetic Resonance Imaging Physical Principles and Sequence Design 2. Ed. by: Robert W. Brown, Y.-C. Norman Cheng, E. Mark Haacke, Michael R. Thompson, Ramesh Venkatesan; available online from within TUM via:

Module Exam

Description of exams and course work

There will be a written exam of 60 minutes duration. Therein the achievement of the competencies given in section learning outcome is tested exemplarily at least to the given cognition level using calculation problems and comprehension questions.

In accordance with §12 (8) APSO the exam can be done as an oral exam. In this case the time duration is 25 minutes.

For example an assignment in the exam might be:

  • Explain the connection between sampled k-space and the resulting reconstructed resolution.
  • Name a few typical artifacts and explain their respective causes.
  • Which rapid imaging sequences are well-suited for T1-weighted abdominal imaging?

In the exam no learning aids are permitted.

There will be a bonus (one intermediate stepping of "0,3" to the better grade) on passed module exams (4,3 is not upgraded to 4,0). The bonus is applicable to the exam period directly following the lecture period (not to the exam repetition) and subject to the condition that the student passes the mid-term of handing-in at least 3 of 4 homework set sheets

Exam Repetition

The exam may be repeated at the end of the semester.

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