The influence of bounding surface on the precision of the Cauchy–Crofton method

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 m...

Full description

Bibliographic Details
Main Authors:	Justinas V. Daugmaudis, Audrius Laurynėnas, Feliksas Ivanauskas
Format:	Article
Language:	English
Published:	Vilnius University Press 2010-12-01
Series:	Lietuvos Matematikos Rinkinys
Subjects:	Cauchy–Crofton method bounding surfaces molecular surface measurement stochastic algorithm
Online Access:	https://www.journals.vu.lt/LMR/article/view/17823

id	doaj-4f3c1cec8761491fb1d856d4c881c64e
record_format	Article
spelling	doaj-4f3c1cec8761491fb1d856d4c881c64e2020-11-25T03:14:01ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2010-12-0151proc. LMS10.15388/LMR.2010.46The influence of bounding surface on the precision of the Cauchy–Crofton methodJustinas V. Daugmaudis0Audrius Laurynėnas1Feliksas Ivanauskas2Vilnius UniversityVilnius UniversityVilnius University 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. https://www.journals.vu.lt/LMR/article/view/17823Cauchy–Crofton methodbounding surfacesmolecular surface measurementstochastic algorithm
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Justinas V. Daugmaudis Audrius Laurynėnas Feliksas Ivanauskas
spellingShingle	Justinas V. Daugmaudis Audrius Laurynėnas Feliksas Ivanauskas The influence of bounding surface on the precision of the Cauchy–Crofton method Lietuvos Matematikos Rinkinys Cauchy–Crofton method bounding surfaces molecular surface measurement stochastic algorithm
author_facet	Justinas V. Daugmaudis Audrius Laurynėnas Feliksas Ivanauskas
author_sort	Justinas V. Daugmaudis
title	The influence of bounding surface on the precision of the Cauchy–Crofton method
title_short	The influence of bounding surface on the precision of the Cauchy–Crofton method
title_full	The influence of bounding surface on the precision of the Cauchy–Crofton method
title_fullStr	The influence of bounding surface on the precision of the Cauchy–Crofton method
title_full_unstemmed	The influence of bounding surface on the precision of the Cauchy–Crofton method
title_sort	influence of bounding surface on the precision of the cauchy–crofton method
publisher	Vilnius University Press
series	Lietuvos Matematikos Rinkinys
issn	0132-2818 2335-898X
publishDate	2010-12-01
description	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.
topic	Cauchy–Crofton method bounding surfaces molecular surface measurement stochastic algorithm
url	https://www.journals.vu.lt/LMR/article/view/17823
work_keys_str_mv	AT justinasvdaugmaudis theinfluenceofboundingsurfaceontheprecisionofthecauchycroftonmethod AT audriuslaurynenas theinfluenceofboundingsurfaceontheprecisionofthecauchycroftonmethod AT feliksasivanauskas theinfluenceofboundingsurfaceontheprecisionofthecauchycroftonmethod AT justinasvdaugmaudis influenceofboundingsurfaceontheprecisionofthecauchycroftonmethod AT audriuslaurynenas influenceofboundingsurfaceontheprecisionofthecauchycroftonmethod AT feliksasivanauskas influenceofboundingsurfaceontheprecisionofthecauchycroftonmethod
_version_	1724645166468300800

The influence of bounding surface on the precision of the Cauchy–Crofton method

Similar Items