---
res:
bibo_abstract:
- 'We consider scientific data sets that describe density functions over three-dimensional
geometric domains. Such data sets are often large and coarsened representations
are needed for visualization and analysis. Assuming a tetrahedral mesh representation,
we construct such representations with a simplification algorithm that combines
three goals: the approximation of the function, the preservation of the mesh topology,
and the improvement of the mesh quality. The third goal is achieved with a novel
extension of the well-known quadric error metric. We perform a number of computational
experiments to understand the effect of mesh quality improvement on the density
map approximation. In addition, we study the effect of geometric simplification
on the topological features of the function by monitoring its critical points.@eng'
bibo_authorlist:
- foaf_Person:
foaf_givenName: Vijay
foaf_name: Natarajan, Vijay
foaf_surname: Natarajan
- foaf_Person:
foaf_givenName: Herbert
foaf_name: Herbert Edelsbrunner
foaf_surname: Edelsbrunner
foaf_workInfoHomepage: http://www.librecat.org/personId=3FB178DA-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-9823-6833
bibo_doi: 10.1109/TVCG.2004.32
bibo_issue: '5'
bibo_volume: 10
dct_date: 2004^xs_gYear
dct_publisher: IEEE@
dct_title: Simplification of three-dimensional density maps@
...