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Computer Graphics

Code: EIC0019     Acronym: CGRA

Classification Keyword
OFICIAL Interaction and Multimedia

Instance: 2014/2015 - 2S Ícone do Moodle

Active? Yes
Web Page: https://moodle.up.pt/
Responsible unit: Department of Informatics Engineering
Course/CS Responsible: Master in Informatics and Computing Engineering

Cycles of Study/Courses

Acronym No. of Students Study Plan Curricular Years Credits UCN Credits ECTS Contact hours Total Time
MIEIC 154 Syllabus since 2009/2010 2 - 6 56 162

Teaching - Hours

Lectures: 2,00
Recitations: 2,00
Type Teacher Classes Hour
Lectures Totals 1 2,00
António Augusto de Sousa 2,00
Recitations Totals 6 12,00
Rui Pedro da Silva Nóbrega 2,00
António Fernando Vasconcelos Cunha Castro Coelho 4,00
Rui Pedro Amaral Rodrigues 6,00
Mais informaçõesLast updated on 2015-02-18.

Fields changed: Objectives, Métodos de ensino e atividades de aprendizagem, Componentes de Avaliação e Ocupação, URL da página, Provas e trabalhos especiais

Teaching language

Suitable for English-speaking students


BACKGROUND Computer graphics has been stated and is today a very important component in the whole human-computer interaction ambience. However, its applicability goes far beyond, having nowadays a prominent position in major industries such as the cinema and electronic games. Also in technology and science it plays an irreplaceable role allowing the visualization of phenomena, often linked to simulation and virtual reality techniques. In this course, the approach to computer graphics is made under a Top-Down philosophy, starting with the subjects most related to 3D (image synthesis, modelling) and ending with a visit to several most basic algorithms in 2D. The 3D components of the programme are accompanied, in practical lessons, with exercises based on the usual technologies, like OpenGL and WebGL.

SPECIFIC AIMS -Transmit knowledge of concepts, techniques, algorithms, computer graphics technologies and architectures. -Strengthen the theoretical knowledge with practical application, through the implementation, testing and evaluation of algorithms discussed in theory.

-Scientific Component: 50%
-Technological Component: 50%

Learning outcomes and competences

-understand the interconnection of multiple modules of a 3D graphics system;
-design and implement small 3D oriented applications;
-design and implement applications with graphical interface, in its various aspects;
-dominate the schedule by events.

Working method


Pre-requirements (prior knowledge) and co-requirements (common knowledge)

-Programming (preferably in C/C++)
-Algorithms and data structures.
-Algebraic operations of common use.
-Algebra and Mathematics.


Computer Graphics panoramics and applications.

3D image synthesis:
   local lighting and global lighting;
   visibility calculation.

Coulour representation in Computer Graphics.

Geometric transformations: 3D/ 2D.

   3D meshes,
   surfaces and solids.

Interaction; concepts for the development of graphical interfaces.

2D computer graphics: rasterization algorithms, 2D geometrical transformations and 2D visualization.

Mandatory literature

Foley, James D. 070; Introduction to computer graphics. ISBN: 0-201-60921-5

Complementary Bibliography

Hearn, Donald; Computer graphics. ISBN: 0-13-578634-7

Teaching methods and learning activities

Theoretical classes:
- Presentation of the main theories, techniques and algorithms, used in computer graphics

Theoretical-practical classes:
- Exercises solving and discussion, tested in computer by each group with possible extra-scholar developments.
- Use of OpenGl/WebGL to verify some of the 3D theoretical topics, as well as the subjetcs related to interaction and 2D Computer Graphics.
- Development of a small project.


C/C++, OpenGL, Java


Physical sciences > Computer science > 3 D modeling
Technological sciences > Technology > Graphic techniques > Computer graphics
Technological sciences > Technology > Interface technology > Virtual reality
Physical sciences > Computer science > Computer systems > Human computer interaction

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Designation Weight (%)
Exame 60,00
Teste 20,00
Trabalho laboratorial 20,00
Total: 100,00

Amount of time allocated to each course unit

Designation Time (hours)
Estudo autónomo 78,00
Frequência das aulas 56,00
Trabalho laboratorial 30,00
Total: 164,00

Eligibility for exams

Not exceed the absence limit and obtain a minimum of 40% in the distributed evaluation classification.

Calculation formula of final grade

FG: Final Grade
ExEv: Exam grade
DisEv: Distributed Evaluation

FG = 60% ExEv + 40% DisEv

DisEv = 50% Mini-tests + 50% Small Project

To pass, the student must have a minimum of 40% in any of the two evaluation components: distributed evaluation and final exam. NOTE: Minitests are closed book; Final exam is open book.

Examinations or Special Assignments

Minitests will occur (hours defined for the teoretical classes):

MT1: 25th March, 2015 (rooms B104, B208, B213)
MT2: 13th May, 2015 (rooms B104, B208, B213)

Special assessment (TE, DA, ...)

Students with worker statute or equivalent must, preferably, make the minitests correspondent to the distributed evaluation, but the small project is mandatoryeven for them. They must agree, with the teachers, dates to show the evolution of the practical works.

Final grade may then be calculated as in Classification Improvement.

Classification improvement

For classification improvement purposes, the distributed evaluation corresponds only to the 20% of the small project (exam weights 80%); mini-tests may not be taken into consideration.


About the teaching language: Portuguese is the "regular" language used, but English can be used if foreign students participate in classes. Moodle is the e-learning tool used in this course.

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