The influence of bounding surface on the precision of the Cauchy–Crofton method
Articles
Justinas V. Daugmaudis
Vilnius University
Audrius Laurynėnas
Vilnius University
Feliksas Ivanauskas
Vilnius University
Published 2010-12-21
https://doi.org/10.15388/LMR.2010.46
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Keywords

Cauchy–Crofton method
bounding surfaces
molecular surface measurement
stochastic algorithm

How to Cite

Daugmaudis J. V., Laurynėnas A. and Ivanauskas F. (2010) “The influence of bounding surface on the precision of the Cauchy–Crofton method”, Lietuvos matematikos rinkinys, 51(proc. LMS), pp. 250–255. doi: 10.15388/LMR.2010.46.

Abstract

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.

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