What is it about?
A Monte Carlo type algorithm to compute hypersurface area is developed. The method is based on the Cauchy-Crofton formula.
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Why is it important?
The article gives a practical method to generate"random lines" in Euclidean space for dimensions k>2.
Perspectives
Having a practical method to generate "random lines" in high dimensional Euclidean space may have other applications.
Dr. Elias G. Saleeby
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This page is a summary of: On the tangent model for the density of lines and a Monte Carlo method for computing hypersurface area, Monte Carlo Methods and Applications, January 2017, De Gruyter,
DOI: 10.1515/mcma-2017-0100.
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