Triquadratic reconstruction for interactive modelling of potential fields

Author

Barthe, Loïc ; Mora, Benjamin ; Dodgson, Neil ; Sabin, Malcolm

Author_Institution

Comput. Lab., Cambridge Univ., UK

fYear

2002

fDate

6/24/1905 12:00:00 AM

Firstpage

145

Lastpage

153

Abstract

We present a data structure for three-dimensional fields C¹ continuous in the modelling space. Regular grids storing the field values discretely are combined with a triquadratic approximation filter to define volume objects. This association of a grid and an approximation/interpolation filter allows the field to be defined by a C ¹ continuous real function and the surface to be directly visualised from its own equation. We show how accurate and high quality interactive visualisation is obtained during the modelling process, and we explain why the visualisation is faithful to the object definition. We also describe, as an example of application of our data structure, how advanced Boolean operators realised with soft or "functionally controlled" transitions are performed under the influence of an interactive modelling tool

Keywords

computational geometry; data structures; data visualisation; interpolation; solid modelling; Boolean operators; continuous real function; data structure; interactive modelling; interactive visualisation; interpolation filter; potential fields; regular grids; solid modelling; three-dimensional fields; triquadratic approximation filter; triquadratic reconstruction; volume objects; Computational geometry; Computer graphics; Computer science; Data structures; Data visualization; Filters; Grid computing; Interpolation; Laboratories; Solid modeling;

fLanguage

English

Publisher

ieee

Conference_Titel

Shape Modeling International, 2002. Proceedings

Conference_Location

Banff, Alta.

Print_ISBN

0-7695-1546-0

Type

conf

DOI

10.1109/SMI.2002.1003539

Filename

1003539