title: On histograms and isosurface statistics.
abstract: In this paper, we show that histograms represent spatial function distributions with a nearest neighbour interpolation. We confirm that this results in systematic underrepresentation of transitional features of the data, and provide new insight why this occurs. We further show that isosurface statistics, which use higher quality interpolation, give better representations of the function distribution. We also use our experimentally collected isosurface statistics to resolve some questions as to the formal complexity of isosurfaces.
authors.affiliation: University College Dublin. hamish.carr@ucd.ie
authors.forename: Hamish
authors.initials: H
authors.lastname: Carr
authors.forename: Brian
authors.initials: B
authors.lastname: Duffy
authors.forename: Barry
authors.initials: B
authors.lastname: Denby
mesh_terms: D000465:Algorithms; D003196:Computer Graphics; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D007089:Image Enhancement / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D016247:Information Storage and Retrieval / Q000379:methods*; D015233:Models, Statistical; D014584:User-Computer Interface