310-2213/01 – Imaging Systems Methods (ZM)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits5
Subject guarantorMgr. Václav VotoupalSubject version guarantorMgr. Václav Votoupal
Study levelundergraduate or graduateRequirementCompulsory
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFMTIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
VOT0032 Mgr. Václav Votoupal
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

- to train development of space abilities - to handle by different types of projection methods, to understand to their principles, to be familiar with their properties, advantages and disadvantages - to acquaint with geometric characteristics of curves and surfaces that are used in technical practice of a given specialization

Teaching methods

Individual consultations
Other activities


The subject is concerned with needs of the branch of art foundry. It provides students with the foundations of some representation techniques (two-plane projection, oblique projection, rectangular axonometry, perspective), develops spatial vision and leads to the accurate and proper graphic representation. Then it applies the theoretical knowledge to suitable examples from practice.

Compulsory literature:

Vavříková, E.: Descriptive Geometry, VŠB-TU Ostrava 2005, ISBN 80-248-1006-9. Jennings, G.: Modern Geometry with Application, Springer-Verlag New York 1994.

Recommended literature:

Doležal, J.: Computer Graphics, VŠB-TU Ostrava 2005, ISBN 80-248-0902-8.

Way of continuous check of knowledge in the course of semester

Course-credit -participation on tutorials is obligatory, 20% of absence can be apologized, -elaborate programs, -pass the written tests, Point classification: 5-20 points. Exam Practical part of an exam is classified by 0 - 60 points. Practical part is successful if student obtains at least 25 points. Theoretical part of the exam is classified by 0 - 20 points. Theoretical part is successful if student obtains at least 5 points. Point quantification in the interval 100 - 91 90 - 81 80 - 71 70 - 61 60 - 51 50 - 0 ECTS grade A B C D E F Point quantification in the interval 100 - 86 85 - 66 65 - 51 51 - 0 National grading scheme excellent very good satisfactory failed


http://www.studopory.vsb.cz http://mdg.vsb.cz/M/

Other requirements

No special requirements.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

1. A focal properties of conic sections - ellipse, hyperbola, parabola 2. Axial affinity and central collineations 3. Monge projection – position tasks, metric tasks 4. Orthogonal axonometry - basic position tasks, notch method 5. Oblique projection - military and cavalier perspective 6. Cuts of a prism, pyramid, sphere and cylinder by a plane 7. Intersections of a line and solids 8. Helix, screw surfaces 9. Surfaces of revolution 10. Intersections of surfaces of revolution 11. Linear perspective - basic concepts 12. Linear perspective - bound methods 13. Linear perspective - application

Conditions for subject completion

Full-time form (validity from: 2019/2020 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 20  5
        Examination Examination 80 (80) 30 3
                Písemka Written test 60  25 3
                Teorie Oral examination 20  5 3
Mandatory attendence participation: 80 %

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2022/2023 (B0214A270001) Art Foundry Engineering P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0214A270001) Art Foundry Engineering P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0214A270001) Art Foundry Engineering P Czech Ostrava 1 Compulsory study plan
2019/2020 (B2109) Metallurgical Engineering (2109R031) Art Foundry Engineering P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0214A270001) Art Foundry Engineering P Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction

2021/2022 Summer
2019/2020 Summer