Regional Minkowski measures by FFT: A fast method for rock typing — ICTMS Committee Dep of Applied Maths Australian National University

Regional Minkowski measures by FFT: A fast method for rock typing (158)

Christoph H Arns 1 , Han Jiang 1
  1. UNSW, Randwick, NSW, Australia

We introduce an FFT approach to calculate regional Minkowski measures over sphere and ellipsoidal
support, utilizing the additivity of the Minkowski functionals. The method is compared against two direct
summation techniques, the rst one simply calculating the Minkowski functionals over a spherical support,
while a shift algorithm utilizes a vertex conguration histogram strategy.

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