COMP09011 2020 Multiple View Geometry in Computer Vision
This module looks at the computer vision required to understand the structure of a real-world scene given several images of it.
Introduces key 2D-Image Processing, segmentation and features detection techniques, camera intrinsic and extrinsic parameters and multiple view geometries.
On completion of this module the learner will/should be able to;
Select and apply 2D Image processing techniques to appropriate problems.
Evaluate the applicability of various 3D image processing techniques to specific problems, based on the review of key academic papers.
Create or reconstruct 3D Scene geometries using various methods.
Effectively collaborate and communicate with others in the timely development of solutions to Computer vision problems, including reports and software.
Identify the key metrics that are used to measure and compare the effectiveness of state of the art computer vision techniques, and use these metrics to evaluate the performance of emerging computer vision techniques previous state of the art.
Teaching and Learning Strategies
A lecture will be provided each week. In advance of the lecture, the learner will be asked to review key textbook chapters and academic papers that are relevant to the lecture so that they get the maximum learning from that lecture.
The Project work, both team and individual, will challenge the learner to master concepts beyond those covered in the theory lecture. This will prepare them for the lifelong learning that will be required in the fast-moving field of Computer Vision.
Module Assessment Strategies
A terminal exam and continuous assessment in the form of group project work will be used to assess the module.
To reinforce the theoretical principles covered in lectures, learners will participate in project work.
The learner will complete a final exam at the end of the semester.
The learner is required to pass both the projects and terminal examination element of this module.
Repeat Exams will be set for Autumn of each year.
Repeat project work can be submitted at the repeat exam sitting.
Image Processing: Point operators, Linear filtering, neighbourhood operators, Pyramids, Geometric Transformations.
Feature detection and matching: Points and patches, edges, lines.
3D vectors / Rotation Matrices/ Euler Angles
Rodrigues Formula / Angle axis (as a rotation matrix)
Introduction to Homogeneous Co-ordinates (Basic projective geometry)
3D translation as 4x4 matrix multiplication in homogeneous coordinates.
Perspective Projection, Intrinsic Camera Parameters, Radial Distortion
Pre-image / Co-image, Photometry to Geometry, Correspondence finding in images, small displacement vs. large baseline
Edge detection - including the Förstner/Harris corner detector, Optical flow estimation.
Lucas-Kanade method, KLT tracker,
Feature Descriptors - SIFT
Feature Matching, translation vs. affine motion, normalized cross-correlation, reconstruction from two views, bundle adjustment
Epipolar constraint, Essential matrix, Eight-point-algorithm, Degenerate configurations
Structure-from-motion reconstruction, Homographies and the four-point algorithm, uncalibrated reconstruction & fundamental matrix
Reconstruction from multiple views, Multiview preimages, Multiview preimages of points and lines
The existence of preimages and rank deficiency, Multiview rank constraints, Rank constraints for points and lines
Multiview factorization approach, Structure and motion estimation, Multiview matrix for lines
Non-Linear Optimization, Newtons Method, Gradient decent.
Coursework & Assessment Breakdown
|Title||Type||Form||Percent||Week||Learning Outcomes Assessed|
|1||Individual Project||Project||Individual Project||30 %||Week 6||1,2,5|
|2||Group Project||Project||Group Project||30 %||Week 12||3,4,5|
End of Semester / Year Assessment
|Title||Type||Form||Percent||Week||Learning Outcomes Assessed|
|1||Terminal Exam||Final Exam||Assessment||40 %||End of Semester||1,2,3,5|
Full Time Mode Workload
|Laboratory Practical||Computer Laboratory||Laboratory Practical||2||Fortnightly||1.00|
|Independent Learning||Not Specified||Independent Learning||7||Weekly||7.00|
Online Learning Mode Workload
|Independent Learning||Not Specified||Independent Learning||7.5||Weekly||7.50|
|Laboratory Practical||Online||Online Lab session||0.5||Weekly||0.50|
Required & Recommended Book List
2010-09-30 Computer Vision: Algorithms and Applications (Texts in Computer Science) Springer
Computer Vision: Algorithms and Applications explores the variety of techniques commonly used to analyze and interpret images. It also describes challenging real-world applications where vision is being successfully used, both for specialized applications such as medical imaging, and for fun, consumer-level tasks such as image editing and stitching, which students can apply to their own personal photos and videos.
More than just a source of recipes, this exceptionally authoritative and comprehensive textbook/reference also takes a scientific approach to basic vision problems, formulating physical models of the imaging process before inverting them to produce descriptions of a scene. These problems are also analyzed using statistical models and solved using rigorous engineering techniques.
Topics and features: structured to support active curricula and project-oriented courses, with tips in the Introduction for using the book in a variety of customized courses; presents exercises at the end of each chapter with a heavy emphasis on testing algorithms and containing numerous suggestions for small mid-term projects; provides additional material and more detailed mathematical topics in the Appendices, which cover linear algebra, numerical techniques, and Bayesian estimation theory; suggests additional reading at the end of each chapter, including the latest research in each sub-field, in addition to a full Bibliography at the end of the book; supplies supplementary course material for students at the associated website, http://szeliski.org/Book/.
Suitable for an upper-level undergraduate or graduate-level course in computer science or engineering, this textbook focuses on basic techniques that work under real-world conditions and encourages students to push their creative boundaries. Its design and exposition also make it eminently suitable as a unique reference to the fundamental techniques and current research literature in computer vision.
2004-03-25 Multiple View Geometry in Computer Vision Cambridge University Press
A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and methods of computation of these entities are discussed with real examples, as is their use in the reconstruction of scenes from multiple images. The new edition features an extended introduction covering the key ideas in the book (which itself has been updated with additional examples and appendices) and significant new results which have appeared since the first edition. Comprehensive background material is provided, so readers familiar with linear algebra and basic numerical methods can understand the projective geometry and estimation algorithms presented, and implement the algorithms directly from the book.
2011-12-08 Algebraic Curves in Multiple-View Geometry: An algebraic geometry approach to computer vision LAP LAMBERT Academic Publishing
ISBN 3845421320 ISBN-13 9783845421322
Proceedings of CVPR https://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000147
IEEE Transactions on Pattern Analysis and Machine Intelligence https://www.computer.org/web/tpami
International Journal of Computer Vision https://www.springer.com/computer/image+processing/journal/11263
ISPRS Journal of Photogrammetry and Remote Sensing https://www.journals.elsevier.com/isprs-journal-of-photogrammetry-and-remote-sensing
Multiple View Geometry - Prof. Daniel Cremers https://www.youtube.com/playlist?list=PLTBdjV_4f-EJn6udZ34tht9EVIW7lbeo4