Practical considerations for coordinate system rotations in mode-space
| Autor: | Justin Dobbins, Ryan T. Cutshall, J. E. Jerauld |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Recurrence relation
Data_MISCELLANEOUS Mathematical analysis Coordinate system ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Mode (statistics) Geometry Coordinate rotations and reflections Space (mathematics) Set (abstract data type) symbols.namesake Euler's formula symbols Rotation (mathematics) ComputingMethodologies_COMPUTERGRAPHICS Mathematics |
| Zdroj: | AMTA 2016 Proceedings. |
| DOI: | 10.1109/amtap.2016.7806272 |
| Popis: | Coordinate system rotations performed in spherical mode-space are more accurate than the same rotations performed in field-space, since they alleviate all interpolation-related issues. This paper presents an easy-to-understand algorithm for performing rotations in spherical mode-space. This is followed by the presentation of a set of recurrence relations that can be used to efficiently compute the set of rotation coefficients. Finally, a set of relationships are derived which relate the Euler z-y′-z″ rotations to the more intuitive Az-over-El and El-over-Az rotations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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