Texto completo
Vista Previa |
PDF (Portable Document Format)
- Se necesita un visor de ficheros PDF, como GSview, Xpdf o Adobe Acrobat Reader
Descargar (179kB) | Vista Previa |
A Compact Formula for the Derivative of a 3-D Rotation in Exponential Coordinates
Cita
Gallego Bonet, Guillermo and Yezzi, Anthony
(2015).
A Compact Formula for the Derivative of a 3-D Rotation in Exponential Coordinates.
"Journal of Mathematical Imaging and Vision", v. 51
(n. 3);
pp. 378-384.
ISSN 0924-9907.
https://doi.org/10.1007/s10851-014-0528-x.
Descripción
| Título: | A Compact Formula for the Derivative of a 3-D Rotation in Exponential Coordinates |
|---|---|
| Autor/es: |
|
| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | Journal of Mathematical Imaging and Vision |
| Fecha: | Marzo 2015 |
| ISSN: | 0924-9907 |
| Volumen: | 51 |
| Número: | 3 |
| Materias: | |
| ODS: | |
| Palabras Clave Informales: | Cross-product matrix, Derivative of rotation, Exponential map, Lie group, Rodrigues parameters, Rotation, Rotation vector |
| Escuela: | E.T.S.I. Telecomunicación (UPM) |
| Departamento: | Señales, Sistemas y Radiocomunicaciones |
| Grupo Investigación UPM: | Tratamiento de Imágenes GTI |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada - No comercial |
Resumen
We present a compact formula for the derivative of a 3-D rotation matrix with respect to its exponential coordinates. A geometric interpretation of the resulting expression is provided, as well as its agreement with other less-compact but better-known formulas. To the best of our knowledge, this simpler formula does not appear anywhere in the literature. We hope by providing this more compact expression to alleviate the common pressure to reluctantly resort to alternative representations in various computational applications simply as a means to avoid the complexity of differential analysis in exponential coordinates.
Proyectos asociados
Tipo
Código
Acrónimo
Responsable
Título
FP7
246565
UNITE
Univ. Politecnica de Madrid
UPM - Marie Curie International Mobility Programme
Gobierno de España
TEC2010-20412
Enhanced 3DTV
Sin especificar
Sin especificar
Gobierno de España
TEC2013-48453
MR-UHDTV
Sin especificar
Sin especificar
FP7
610691
BRIDGET
Sin especificar
BRIDGING THE GAP FOR ENHANCED BROADCAST
Más información
| ID de Registro: | 35479 |
|---|---|
| Identificador DC: | https://oa.upm.es/35479/ |
| Identificador OAI: | oai:oa.upm.es:35479 |
| URL Portal Científico: | https://portalcientifico.upm.es/es/ipublic/item/5491441 |
| Identificador DOI: | 10.1007/s10851-014-0528-x |
| URL Oficial: | https://link.springer.com/article/10.1007%2Fs10851... |
| Depositado por: | Dr Guillermo Gallego Bonet |
| Depositado el: | 29 May 2015 09:53 |
| Ultima Modificación: | 12 Nov 2025 00:00 |
Acciones
- Estadísticas
- Exportar cita
- Editar (sólo personal del Archivo)
