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        <description>Basic Geometry

Task 0-1: Points and Lines in a Plane

This is a simple task that demonstrates working with homogeneous planar points and lines.

Steps
[1, 1][800, 600]rightdownif it is inside the image area  K = [ [ 1,     0.1,   0 ], 
        [ 0.1,   1,     0 ],
        [ 0.004, 0.002, 1 ] ]$\sigma=1$$\sigma=2$$\sigma=3$$\alpha$$d$$\alpha-d$$\sigma$</description>
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        <description>Input Data

Important: The informations on this page will probably be subject of change. This will be communicated during labs sessions.

Images of the Scene

The goal of the work during the whole term is to reconstruct a 3D object (scene) from its images. In order to make the task manageable, we have chosen such a scene, that is relatively uncomplicated considering 3D computer vision methods: a decorative portal. The simplicity of such a scene lies in the fact, that the scene is almost planar a…</description>
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        <description>Robust Estimation of Calibrated Epipolar Geometry of Image Pairs

Calibrated epipolar geometry is characterised by essential matrix, that encodes relative translation and rotation. The matrix can be estimated using image-to-image correspondences. Since the tentative correspondences are assumed to contain errors, a robust estimation method should be used. Then an epipolar geometry is found, together with a sub-set of correspondences that are consistent with it (allowing some defined inaccuracy). …</description>
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        <description>Cameras and Scene Structure

This phase assumes that calibrated epipolar geometry is established between pairs of images, i.e. the relative translations and rotations are known. For every pair, we can choose the coordinate system origin in the centre of the first camera of the pair. The pose of the second camera is then expressed in this particular coordinate system, but with an unknown scale. Now we need to find the positions and orientations of cameras in a single coordinate system, that is co…</description>
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Now we assume that all cameras are calibrated with respect to the common (global) coordinate system. The last phase of 3D scene reconstruction is (dense) reconstruction of surface.

Epipolar Rectification and Stereo-matching</description>
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Resulting 3D models (year 2010)
Complete overview of all modelsBrief overview of modelsModel created by us</description>
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        <description>TDV − labs

The goal of labs is to practice the 3D reconstruction techniques explained at lectures. The labs are divided into two main parts. In the first part a small independent tasks (Task 0-1 to 0-4) are solved. During the second part, students will build up complete system for reconstruction of a 3D scene given its images. Implementation if this system and its use for the reconstruction is solved as a term project, and it is subject of the lab sessions.</description>
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        <description>Toolbox of Elementary and Helper Functions

Following functions should be implemented. It is important to keep the specified calling convention (order of arguments, shape of matrices, etc).

Note: vectors of coordinates (e.g., points) should be :!: always columns</description>
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