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

• 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
• ISSN: 0132-2818; 2335-898X

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.