| COMPRESSION OF nth-ORDER DATA ARRAYS BY B-SPLINES.PART 1:THEORY |
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| 作者姓名： | BJфRN K.ALSBERG OLAV M.KVALHEIM |
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| 作者单位： | Department of Chemistry University of Bergen，Allegt.4I，N-5007 Bergen，Norway，Department of Chemistry，University of Bergen，Allegt.4I，N-5007 Bergen，Norway |
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| 摘 要： | For efficient handling of very large data arrays,pretreatment by compression is mandatory.In the presentpaper B-spline methods are described as good candidates for such data array compression.Themathematical relation between the maximum entropy method for compression of data tables andthe B-spline of zeroth degree is described together with the generalization of B-spline compression tonth-order data array tables in matrix and tensor algebra.
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COMPRESSION OF nth-ORDER DATA ARRAYS BY B-SPLINES.PART 1:THEORY |
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| Abstract: | For efficient handling of very large data arrays,pretreatment by compression is mandatory.In the present paper B-spline methods are described as good candidates for such data array compression.The mathematical relation between the maximum entropy method for compression of data tables and the B-spline of zeroth degree is described together with the generalization of B-spline compression to nth-order data array tables in matrix and tensor algebra. |
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| Keywords: | Compression Multivariate analysis B-splines Maximum entropy |
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