Gurantor department | Department of Computer Science | Credits | 10 |

Subject guarantor | prof. Ing. Václav Skala, CSc. | Subject version guarantor | prof. Ing. Václav Skala, CSc. |

Study level | postgraduate | Requirement | Choice-compulsory |

Year | Semester | winter + summer | |

Study language | Czech | ||

Year of introduction | 2010/2011 | Year of cancellation | 2016/2017 |

Intended for the faculties | FEI | Intended for study types | Doctoral |

Instruction secured by | |||
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Login | Name | Tuitor | Teacher giving lectures |

SKA0049 | prof. Ing. Václav Skala, CSc. |

Extent of instruction for forms of study | ||
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Form of study | Way of compl. | Extent |

Full-time | Examination | 28+0 |

Combined | Examination | 28+0 |

Goals of the course: advanced computer graphics

Lectures

Project work

• Vince, John, Essential mathematics for computer graphics fast , London : Springer 2001
• Lengyel,E, for 3D game programming and Computer Graphics , Charles River Media 2003
• Shirley, Peter, Fundamentals of computer graphics , Natick : AK Peters 2002
• Lichtenbelt, Barthold; Crane, Randy; Naqvi, Shaz, Introduction to volume rendering , Upper Saddle River : Prentice Hall 1998
• Blinn,J, Jim Blinn's Corner - A Trip Down the Graphics Pipeline , Morgan Kaufmann Publ 1996
• Hartley, Richard; Zisserman, Andrew, Multiple view geometry in computer vision , Cambridge : Cambridge University Press 2001
• Penna,M.A., Patterson,R.R, Projective Geometry and its Application to Computer Graphics , Prentice Hall 1986
• On-line katalogy knihoven

• Vince, John, Essential mathematics for computer graphics fast , London : Springer 2001
• Lengyel,E, for 3D game programming and Computer Graphics , Charles River Media 2003
• Shirley, Peter, Fundamentals of computer graphics , Natick : AK Peters 2002
• Lichtenbelt, Barthold; Crane, Randy; Naqvi, Shaz, Introduction to volume rendering , Upper Saddle River : Prentice Hall 1998
• Blinn,J, Jim Blinn's Corner - A Trip Down the Graphics Pipeline , Morgan Kaufmann Publ 1996
• Hartley, Richard; Zisserman, Andrew, Multiple view geometry in computer vision , Cambridge : Cambridge University Press 2001
• Penna,M.A., Patterson,R.R, Projective Geometry and its Application to Computer Graphics , Prentice Hall 1986
• On-line katalogy knihoven

Presentation of course work / State of the Art
The student should gain at least 50% of available points

Additional requirements for the student are not.

Subject has no prerequisities.

Subject has no co-requisities.

1-2 Introduction, Typical problems and methods, a mathematical overview, Algorithm complexity and robustness. Algorithm Transformation of algorithms
3-4 Data representation, coordinate systems, homogeneous coordinates, affine and projective spaces, Principle of duality and applications, Geometric transformation in E2 and E3
5-6 Plucker and barycentric coordinates, typical problems. GPU based computational methods
7-8 Fundamentals of geometric algebra and conformal algebra.
Geometric transformations of geometric elements in E2 and E3 in the frame of geometric algebra.
9-10 Interpolation of ordered and un-ordered data sets in the Euclidean and non-Euclidean space.
11 Application of geometrical algebra and conformal algebra in computer graphics and computer games, data visualization and virtual reality systems.
12 Invited talk.
13 Final course overview

Task name | Type of task | Max. number of points
(act. for subtasks) | Min. number of points |
---|---|---|---|

Examination | Examination |

Show history

Academic year | Programme | Field of study | Spec. | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|

2015/2016 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2015/2016 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2014/2015 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2014/2015 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2014/2015 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | English | Ostrava | Choice-compulsory | study plan | ||||

2013/2014 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2013/2014 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2012/2013 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2012/2013 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2011/2012 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2011/2012 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2010/2011 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2010/2011 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan |

Block name | Academic year | Form of study | Study language | Year | W | S | Type of block | Block owner |
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