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STANLEY N.DEMING JOHN A.PALASOTA Department of Chemistry University of Houston Houston TX - U.S.A.AND JOHN M.NOCERINO United States Environmental Protection Agency Environmental Monitoring Systems Laboratory Las Vegas NV - U.S.A. Author to whom correspondence should be addressed. 《地理学报(英文版)》1993,(5)
The geometric properties of three common object-preprocessing transformations(constant sum,orclosure;constant length,or normalization;and maximum value,or ratioing)are investigated.Anargument is made for using absolute values in the constant sum and maximum value transformations.In general,each transformation distorts the shape and dimensionality of patterns in the data:transformed data lie on(C-l)-dimensional surfaces in the original C-dimensional space.A data set thathas been closed by one of these transformations can be reopened if a vector containing the constant sums,constant lengths or maximum values of the original objects was retained.Transformed data sets may befreely interconverted among these three transformations without the loss of information. 相似文献
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