460-4023/01 – Geometry for Computer Graphics (GPG)

Gurantor departmentDepartment of Computer ScienceCredits4
Subject guarantorIng. Martin Němec, Ph.D.Subject version guarantorIng. Martin Němec, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Year1Semestersummer
Study languageCzech
Year of introduction2010/2011Year of cancellation
Intended for the facultiesFEIIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
NEM03 Ing. Martin Němec, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Combined Credit and Examination 5+5

Subject aims expressed by acquired skills and competences

The course is designed for students who will also deal with computer graphics. The goal is to deepen knowledge of geometry and mathematics for practical use in computer graphics. Further extend the knowledge studentůz kinematic geometry and creating technical curves and surfaces.

Teaching methods

Lectures
Tutorials

Summary

The course is designed for students who will also deal with computer graphics, mainly on the modeling of curves and surfaces used in engineering practice. The aim of the course is to deepen the knowledge of chapters of mathematics and geometry in the range of teaching mathematics at technical universities to the needs of modeling curves and surfaces in computer graphics. Instruction in the semester is divided into three parts - chapters. 1st part: This is a selected game on projektivního space. This section is aimed at addressing the general features of given conics methods of projective geometry. 2nd Part: Geometry of curves. Kinematic curves equidistant curves, curves in 3D space. 3rd section. Selected chapters of geometry, which relate to areas used in technical practice (construction, transport, engineering). Equidistant surfaces, packing areas Implementation of examples will be applied in the environment or Java programming language. C language.

Compulsory literature:

SHIFRIN T.:Differential geometry, University of Georgia. 2014

Recommended literature:

FRANCIS, S. HILL, Jr. Computer Graphics 1990. New York : Macmillian Publishing Company, a division of Macmillian, Inc. ISBN 0-02-354860-6.

Way of continuous check of knowledge in the course of semester

Lecture, practical exercise, final project. Final project: create 3D program.

E-learning

Další požadavky na studenta

Additional requirements are placed on the student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Fundamental terms Analytic geometry Affine space Projective geometry Curves, tangent line Frenet–Serret formulas Curvature Surfaces Curvature of surfaces

Conditions for subject completion

Full-time form (validity from: 2010/2011 Winter semester, validity until: 2011/2012 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)		Min. number of points
Exercises evaluation and Examination Credit and Examination 100  51
        Exercises evaluation Credit  (45)
                Semestrální projekt Semestral project 45  20
        Examination Examination  (55)
                Písemná zkouška Written examination 55  20
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2019/2020 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Choice-compulsory study plan
2019/2020 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Choice-compulsory study plan
2018/2019 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Choice-compulsory study plan
2018/2019 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Choice-compulsory study plan
2017/2018 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Choice-compulsory study plan
2017/2018 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Choice-compulsory study plan
2016/2017 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Choice-compulsory study plan
2016/2017 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Choice-compulsory study plan
2015/2016 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Choice-compulsory study plan
2015/2016 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Choice-compulsory study plan
2014/2015 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Optional study plan
2014/2015 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Optional study plan
2013/2014 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Optional study plan
2013/2014 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Optional study plan
2012/2013 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Optional study plan
2012/2013 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Optional study plan
2011/2012 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Optional study plan
2011/2012 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Optional study plan
2010/2011 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Optional study plan
2010/2011 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner