Abstract
Liberation measurements on polished sections of composite particles using image analysis techniques yield linear grade and areal grade distribution information for the particle assembly. It is desirable to extract from this information estimates of the volumetric grade of each phase in the particles. A transformation equation can be used to describe the relationship between the one-, two- and three-dimensional information concerning the composition of mineral particles of specified size. A least-squares minimization with fitted functions technique and constrained linear (Phillips—Twomey) inversion have been applied to determine the volumetric grade distribution by inverting the transformation equation using one- and two-dimensional data. Three examples — one, a computer-simulated volumetric grade distribution and the other two experimental depth profile measurements on iron and copper ore samples — have been used to test the two methods. It is found that the Phillips—Twomey inversion technique gives the best estimates of volumetric grade distributions.
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