460-4023/02 – Geometry for Computer Graphics (GPG)
Gurantor department | Department of Computer Science | Credits | 4 |
Subject guarantor | Ing. Martin Němec, Ph.D. | Subject version guarantor | Ing. Martin Němec, Ph.D. |
Study level | undergraduate or graduate | Requirement | Choice-compulsory |
Year | 1 | Semester | summer |
| | Study language | English |
Year of introduction | 2015/2016 | Year of cancellation | |
Intended for the faculties | FEI | Intended for study types | Follow-up Master |
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
Individual consultations
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:
1. SHIFRIN T.:Differential geometry, University of Georgia. 2014
Recommended literature:
Way of continuous check of knowledge in the course of semester
Lecture, practical exercise, final project.
Final project: create 3D program.
E-learning
Other requirements
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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