Course detail
Reconstruction and Analysis of 3D Scenes
FSI-SR0-A Acad. year: 2025/2026 Summer semester
The subject concerns the reconstruction and analysis of 3D scenes based on point clouds. This research area is important in reverse engineering, robotics, geography, and autonomous traffic systems. The first part of the lectures deals with the data acquisition types and algorithms, such as registration, edge detection, and feature extraction. We make the measurements in the laboratory using an optical scanner (ATOS) and other hand scanners. We will process the point cloud with software GOM inspect and Rhinoceros. We will also work with 3D printer Prusa.
We will use Arduino Engineering Kit to test the proposed algorithms.
Students prepare their own implementation of some of the algorithms in the last lectures of the semester.
Language of instruction
English
Number of ECTS credits
4
Supervisor
Department
Entry knowledge
elementary knowledge of mathematical analysis and algebra (matrix, derivative), computer graphics, the recommended is the knowledge of programming language (C, C++, Pascal, atd) or programm (e.g. Matlab).
Rules for evaluation and completion of the course
Students will prepare the project and present the project on the end of the semester.
The lecture attendance is compulsory.
Aims
The main gist of the subject is to understand the point cloud and its processing algorithms. The practical part will show the 3D scanning and 3D printing technology and the 3D scene algorithms.
Students will learn about the point clouds, its acquisition (3D scanning), usage (3D printing, Arduino scene analysis) and post-processing (edge or object detection, registration).
The study programmes with the given course
Programme N-AIM-A: Applied and Interdisciplinary Mathematics, Master's, elective
Programme N-MAI-A: Mathematical Engineering, Master's, compulsory-optional
Type of course unit
Lecture
13 hours, optionally
Syllabus
1st week: The data acquisition (Terrain, Mobile, Airborne) in dependance of the application. Passive (Structure from Motion) and active methods (Time of Flight, laser)
2nd week: Point cloud registration (methods PCA, SVD, ICP).
3rd week: RANSAC – algorithm and its usage, feature extraction
4-5th week: Laboratory measurements on the optical scanner ATOS and hand scanners.
6th week: Point cloud processing in software (GOM Inspect, Rhinoceros, etc.)
7th week: 3D printing – principles, settings, problems.
8th week: Arduino Engineering Kit – vehicle Rover can navigate between given reference points, move objects with a forklift.
9-12th week: Consultations
13th week: Presentation of the seminar work.
Computer-assisted exercise
26 hours, compulsory
Syllabus
1st week: The data acquisition (Terrain, Mobile, Airborne) in dependance of the application, Matlab programming.
2nd week: Point cloud registration – MATLAB or other programming languages.
3rd week: RANSAC programming.
4-5th Laboratory measurements on the optical scanner ATOS and using hand scanners.
6th week: Point cloud processing in software (GOM Inspect, Voxelizer, Rhinoceros). Creating own models for 3D printing.
7th week: 3D printing of models (Voxelizer 3D printer)
8th week: Arduino Engineering Kit – vehicle rover programming.
9-12th week: Seminar work with consultations.
13th week: Presentation of the seminar work.