Generalized Image Acquisition and Analysis

Discovering the Structure of a Planar Mirror System from Multiple Observations of a Single Point

We investigate the problem of identifying the position of a viewer inside a room of planar mirrors with unknown geometry in conjunction with the room’s shape parameters. We consider the observations to consist of angularly resolved depth measurements of a single scene point that is being observed via many multi-bounce interactions with the specular room geometry. Applications of this problem statement include areas such as calibration, acoustic echo cancelation and time-of-flight imaging. We theoretically analyze the problem and derive sufficient conditions for a combination of convex room geometry, observer, and scene point to be reconstructable. The resulting constructive algorithm is exponential in nature and, therefore, not directly applicable to practical scenarios. To counter the situation, we propose theoretically devised geo- metric constraints that enable an efficient pruning of the solution space and develop a heuristic randomized search algorithm that uses these constraints to obtain an effective solution. We demon- strate the effectiveness of our algorithm on extensive simulations as well as in a challenging real-world calibration scenario.


Computational Optical Imaging

Lecture in winter term 2014/15

Lecturer: Ivo Ihrke

General Information

Course webpage - Libres Savoirs

When: 2014, Sept. 08th to 2014, Oct. 8th
Where: IOA/IOGS buiding room E202
Registration for mailing list: send email to Ivo Ihrke (firstname[dot]lastname[at]


This lecture covers advanced digital imaging techniques for image correction and calibration, as well as algorithms and optical considerations for the extraction of three-dimensional content from (sets of) images. We explore the notion of computional-optical codesign and modern high-dimensional imaging techniques.

The tentative course schedule is

Monday 08.09.2014 Introduction and Recapitulation of Image Characteristics [pdf intro & recap]
Wednesday 10.09.2014 High Dynamic Range, Spectral, and Polarization Imaging [pdf hdr/spectral/polarization]
Monday 15.09.2013 Deconvolution [pdf deconvolution]
Wednesday 17.09.2013 Perspective Imaging and the Basics of 3D
Monday 22.09.2013 Structure-from-Motion
Wednesday 24.09.2013 Dense Stereo Techniques and Optical Flow
Monday 29.09.2013 Active 3D Scanning
Wednesday 01.10.2013 Tomography and Volumetric 3D
Monday 06.10.2013 Light Fields
Wednesday 08.10.2014 to be determined - possibly Compressed Sensing


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