Publication Date
10-1999
Abstract
This paper discusses the use of geometric approach to classify different types of trash (non-lint, non-fiber material) in ginned cotton. Pieces of trash can have complicated shapes, so we would like to find a good approximating family of sets. Which approximating family is the best? We reduce the corresponding optimization problem to a geometric one: namely, we show that, under some reasonable conditions, an optimal family must be shift-, rotation- and scale-invariant. We then use this geometric reduction to conclude that the best approximating low-dimensional families consist of sets with linear or circular boundaries.
This result is in good agreement with the existing empirical classification of trash into bark1, bark2, leaf, and pepper trash.
Comments
UTEP-CS-99-42.
Published in Geombinatorics, 2000, Vol. 10, No. 2, pp. 77-82.