dc.contributor |
Universitat Politècnica de Catalunya. Departament de Llenguatges i Sistemes Informàtics |
dc.contributor.author |
Ayala Vallespí, M. Dolors |
dc.contributor.author |
Pla García, Núria |
dc.contributor.author |
Vigo Anglada, Marc |
dc.date |
2005-09 |
dc.identifier.citation |
Ayala, D., Pla, N., Vigo, M. "Splat representation of parametric surfaces". 2005. |
dc.identifier.uri |
http://hdl.handle.net/2117/84967 |
dc.language.iso |
eng |
dc.relation |
LSI-05-31-R |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.subject |
Àrees temàtiques de la UPC::Informàtica::Infografia |
dc.subject |
Parametric surfaces |
dc.subject |
Point-based geometry |
dc.subject |
Voronoi diagrams |
dc.title |
Splat representation of parametric surfaces |
dc.type |
info:eu-repo/semantics/publishedVersion |
dc.type |
info:eu-repo/semantics/report |
dc.description.abstract |
Point-based geometry representations and their splat-based
generalizations have become a suitable technique both for modeling and
rendering complex 3D shapes. So, it seems interesting to convert other
kind of models to a point or splat-based representations.
In this work, we present an approach to convert a parametric surface
to an elliptical splat-based representation. Although this conversion
supposes a loss of information going from an
analytical to an approximate model, it will allow to locally modify
zones with complex features, to mix surface and splat-based models and
to take advantage of the existing point-based rendering methods.
The presented approach works in the parametric space and performs an
adaptive sampling based on the surface curvature and a given error
tolerance. The goal is to obtain an optimized set of elliptical splats
that completely covers the surface. Two strategies are presented, one
based on a quadrangular subdivision of the parametric space and the
other on power Voronoi diagrams. Finally, some open problems are
enumerated. |