Kvaternioni in Eulerjevi koti
diplomsko delo
Abstract
Kvaternione lahko predstavimo na različne načine: kot pare kompleksnih števil, s pomočjo vektorjev, s pomočjo 2 × 2 kompleksne matrike in s pomočjo 4 × 4 realne matrike.
Rotacijo v prostoru predstavimo kot operator, ki ustreza produktu treh kvaternionov - rotacij okoli koordinatnih osi, ki jim pravimo Eulerjevi koti.
Keywords
čisti kvaternion;enotni kvaternion;operator rotacije;operator vrtenja;precesijski kot;nutacijski kot;kot zasuka;
Data
| Language: | Slovenian |
|---|---|
| Year of publishing: | 2016 |
| Typology: | 2.11 - Undergraduate Thesis |
| Organization: | UL PEF - Faculty of Education |
| Publisher: | [T. Lah] |
| UDC: | 51(043.2) |
| COBISS: |
11339337
|
| Views: | 2560 |
| Downloads: | 311 |
| Average score: | 0 (0 votes) |
| Metadata: |
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Other data
| Secondary language: | English |
|---|---|
| Secondary title: | Quaternions and Euler angles |
| Secondary abstract: | Quaternions are presented in various ways: as pairs of complex numbers, using vectors, as 2 × 2-dimensional complex matrices, or 4 × 4-dimensional real matrices. Space rotation is presented as an operator which is a product of three quaternions -- elemental rotations around coordinate axes, known as Euler angles. |
| Secondary keywords: | mathematics;matematika; |
| File type: | application/pdf |
| Type (COBISS): | Undergraduate thesis |
| Thesis comment: | Univ. v Ljubljani, Pedagoška fak., Fak. za matematiko in fiziko, Matematika in fizika |
| Pages: | 53 str. |
| ID: | 9228550 |
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