Multi-scale geometry interpolation
Informazioni aggiuntive
Autori
Winkler T.,
Drieseberg J.,
Alexa M.,
Hormann K.
Tipo
Articolo pubblicato in rivista scientifica
Anno
2010
Lingua
Inglese
Sommario
Interpolating vertex positions among triangle meshes with identical vertex-edge graphs is a fundamental part of many geometric modelling systems. Linear vertex interpolation is robust but fails to preserve local shape. Most recent approaches identify local affine transformations for parts of the mesh, model desired interpolations of the affine transformations, and then optimize vertex positions to conform with the desired transformations. However, the local interpolation of the rotational part is non-trivial for more than two input configurations and ambiguous if the meshes are deformed significantly. We propose a solution to the vertex interpolation problem that starts from interpolating the local metric (edge lengths) and mean curvature (dihedral angles) and makes consistent choices of local affine transformations using shape matching applied to successively larger parts of the mesh. The local interpolation can be applied to any number of input vertex configurations and due to the hierarchical scheme for generating consolidated vertex positions, the approach is fast and can be applied to very large meshes.
Parole chiave
Computational geometry and object modeling, hierarchy and geometric transformations
Periodico
Computer graphics forum
Volume
29
Numero ( Mese )
2
Pagine (o numero dell’articolo)
309-318
Diffusione
Licenza
Licenza non definita
Visibilità
Pubblico
Status open access
Green
