Geometric transformations in octrees using shears

Existent algorithms to perform geometric transformations on octrees can be classified in two families: inverse transformation and address computation ones. Those in the inverse transformation family essentially resample the target octree from the source one, and are able to cope with all the affine...

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Detalles Bibliográficos
Autores: Saona Vázquez, Carlos Luis, Navazo Álvaro, Isabel|||0000-0001-6298-1463, Vinacua Pla, Álvaro|||0000-0001-8984-4311
Tipo de recurso: informe técnico
Fecha de publicación:1997
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/96515
Acceso en línea:https://hdl.handle.net/2117/96515
Access Level:acceso abierto
Palabra clave:Geometric transformations
Octrees
Inverse transformation
Address computation
Translation algorithm
Simulation
Robotics
Computer animation
Àrees temàtiques de la UPC::Informàtica::Infografia
Descripción
Sumario:Existent algorithms to perform geometric transformations on octrees can be classified in two families: inverse transformation and address computation ones. Those in the inverse transformation family essentially resample the target octree from the source one, and are able to cope with all the affine transformations. Those in the address computation family only deal with translations, but are commonly accepted as faster than the former ones for they do no intersection tests, but directly calculate the transformed address of each black node in the source tree. This work introduces a new translation algorithm that shows to perform better than previous one when very small displacements are involved. This property is particularly useful in applications such as simulation, robotics or computer animation.