Open AccessThe influence of bounding surface on the precision of the Cauchy–Crofton method
Author(s) -
Justinas V. Daugmaudis,
Audrius Laurynėnas,
Feliksas Ivanauskas
Publication year - 2010
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2010.46
Subject(s) - isosurface , bounding overwatch , intersection (aeronautics) , computation , surface (topology) , cauchy distribution , sample (material) , line (geometry) , computer science , algorithm , mathematics , sample mean and sample covariance , geometry , mathematical analysis , artificial intelligence , statistics , chemistry , chromatography , engineering , visualization , aerospace engineering , estimator
We derive and implement a method to compute isosurface area that demonstrates better numeric properties than previously described similar algorithms. The described stochastic area computation algorithm has been tested on geometric objects as well as on protein models. One of the advantages of the method is that for each line in a sample the number of surface intersection points can be counted in a parallel manner, independently of other lines in the sample, which maps well to the multi-core and multi-node architectures.