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.

Teaching

Computational Optical Imaging

Lecture in winter term 2013/14

Lecturer: Ivo Ihrke

General Information

Course webpage - Libres Savoirs -->

When: 2013, Sept. 09th to 2013, Oct. 28th
Where: IOA/IOGS buiding room F102
Registration for mailing list: send email to Ivo Ihrke (firstname[dot]lastname[at]inria.fr)

Overview:

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


Tuesday 10.09.2013 Introduction and Sensor Technology [pdf intro] [pdf sensors]
Thursday 12.09.2013 Noise, Dynamic Range, and Color [pdf noise/dr/color]
Monday 16.09.2013 Imaging Imperfections, Panoramas and the Basics of 3D [pdf panoramas&3D]
Monday 23.09.2013 Camera Calibration and Feature Detection [pdf calibration&features]
Monday 30.09.2013 Stereo and Self-Calibration [pdf stereo&self-calibration]
Thursday 03.10.2013 Active 3D Scanning [pdf active light 3D]
Monday 07.10.2013 Tomography [pdf tomography]
Monday 14.10.2013 Deconvolution [pdf deconvolution]
Monday 21.10.2013 Light Fields [pdf light fields]
Thursday 24.10.2013 Introduction to Variational Image Processing (original slides by Bastian Goldluecke) [pdf intro] [pdf variational analysis] [pdf gradient descent]

FAQ:


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