The course gives an introduction to the basic concepts of sensor orientation and 3D reconstruction. The goal is an understanding of the principles, methods and applications of image-based measurement. It covers topics such as the algebraic projective geometry, imaging geometry, calibration, orientation methods, stereo image matching and further surface reconstruction methods.
The lecture is managed via the learning platform Moodle. All documents and further information can be found in the Moodle course Photogrammetric Computer Vision.
Please notice: The materials for our lectures and exercises are only available through the network of the Bauhaus-Universität Weimar.
Lecture
Introduction
- Administration, image-based 3D reconstruction, historical notes, classification of photogrammetry, field of application (slides, print)
Projective 2D geometry
- General mathematics, projective geometry, homogeneous 2D coordinates, points and lines
- Normalization and interpretation, matrix algebra, planar transformations, concatenation
- Estimation of projectivity, 2D homography computation, linear homogeneous equation systems, planar rectification
Projective 3D geometry
- Points and planes, spatial transformations, geometric camera model
- Projection matrix, interpretation, spatial resection/DLT, optical imaging with lenses
- Lens distortion, imaging techniques, ...
Projective multi-view geometry
- Relative orientation, epipolar geometry
- Fundamental matrix, spatial intersection, projective reconstruction
- Essential matrix, normal case, trifocal geometry, trifocal and multi-view tensors
- Tensor notation, bundle adjustment
- Euclidean and metric upgrade, auto-calibration, ...
Stereo image matching
- Robust parameter estimation, M-estimators, RANSAC
- Correspondence problem, image matching constraints, area-based image matching, similarity measures
- Least-squares matching, global matching strategies, normal image generation
- Summary
Exercise
The course is managed using the learning platform Moodle. All documents and further information can be found in the Moodle course Photogrammetric Computer Vision WiSe 2024/25.
The self-enrollment for this Moodle course begins September 2024.
Exam
Written exam
- Date: to be announced
- Auxiliary resources: none
Preparation material
- List of questions
- Old exam samples