Journal
ICARUS
Volume 241, Issue -, Pages 114-129Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.icarus.2014.06.023
Keywords
Cratering; Data reduction techniques; Impact processes; Moon; Image processing
Categories
Funding
- National Aeronautics and Space Administration Lunar Reconnaissance Orbiter Project
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Historically, topographic profiles provided a quantitative means to investigate the morphology and formation processes for impact craters, although no generic mathematical framework was developed to reduce profiles to morphology descriptors. Only need-specific polynomial expressions were utilized in previous studies, thus no standardized automated comparison of craters exists. We employ a Chebyshev polynomial function approximation to describe crater forms in a quantitative and repeatable manner. We show that the Chebyshev polynomials return coefficients that are relatable to crater morphologic characteristics, thus providing a standardized mathematical means for describing crater forms. (C) 2014 Elsevier Inc. All rights reserved.
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