Kvaternioni in Eulerjevi koti

Lah, Tadeja (author), Cencelj, Matija (mentor)

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.

• Language: Slovenian
• Keywords: Kvaternion
• Work type: Undergraduate thesis
• Typology: 2.11 - Undergraduate Thesis
• Organization: PEF - Faculty of Education
• Year: 2016
• PID: 20.500.12556/RUL-87136
• COBISS.SI-ID: 11339337
• Publication date in RUL: 04.09.2017

Secondary language

• Language: English
• Title: Quaternions and Euler angles

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.

• Keywords: Quaternion