Adaptive Geometric Interval Classifier

Quantile, equal interval, and natural breaks methods are widely used data classification methods in geospatial analysis and cartography. However, when applied to data with skewed distributions, they can only reveal the variations of either high frequent values or extremes, which often leads to undes...

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Main Authors: Shuang Li, Jie Shan
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:ISPRS International Journal of Geo-Information
Subjects:
Online Access:https://www.mdpi.com/2220-9964/11/8/430
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author Shuang Li
Jie Shan
author_facet Shuang Li
Jie Shan
author_sort Shuang Li
collection DOAJ
description Quantile, equal interval, and natural breaks methods are widely used data classification methods in geospatial analysis and cartography. However, when applied to data with skewed distributions, they can only reveal the variations of either high frequent values or extremes, which often leads to undesired and biased classification results. To handle this problem, Esri provided a compromise method, named geometric interval classification (GIC). Although GIC performs well for various classification tasks, its mathematics and solution process remain unclear. Moreover, GIC is theoretically only applicable to single-peak (single-modal), one-dimensional data. This paper first mathematically formulates GIC as a general optimization problem subject to equality constraint. We then further adapt such formulated GIC to handle multi-peak and multi-dimensional data. Both thematic data and remote sensing images are used in this study. The comparison with other classification methods demonstrates the advantage of GIC being able to highlight both middle and extreme values. As such, it can be regarded as a general data classification approach for thematic mapping and other geospatial applications.
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spelling doaj.art-fb7a76506cd94fd7a558ec9154d8e2832023-12-03T13:46:19ZengMDPI AGISPRS International Journal of Geo-Information2220-99642022-07-0111843010.3390/ijgi11080430Adaptive Geometric Interval ClassifierShuang Li0Jie Shan1School of Civil Engineering, Purdue University, West Lafayette, IN 47907, USASchool of Civil Engineering, Purdue University, West Lafayette, IN 47907, USAQuantile, equal interval, and natural breaks methods are widely used data classification methods in geospatial analysis and cartography. However, when applied to data with skewed distributions, they can only reveal the variations of either high frequent values or extremes, which often leads to undesired and biased classification results. To handle this problem, Esri provided a compromise method, named geometric interval classification (GIC). Although GIC performs well for various classification tasks, its mathematics and solution process remain unclear. Moreover, GIC is theoretically only applicable to single-peak (single-modal), one-dimensional data. This paper first mathematically formulates GIC as a general optimization problem subject to equality constraint. We then further adapt such formulated GIC to handle multi-peak and multi-dimensional data. Both thematic data and remote sensing images are used in this study. The comparison with other classification methods demonstrates the advantage of GIC being able to highlight both middle and extreme values. As such, it can be regarded as a general data classification approach for thematic mapping and other geospatial applications.https://www.mdpi.com/2220-9964/11/8/430data classificationthematic mappingoptimizationcartographygeospatial analysis
spellingShingle Shuang Li
Jie Shan
Adaptive Geometric Interval Classifier
ISPRS International Journal of Geo-Information
data classification
thematic mapping
optimization
cartography
geospatial analysis
title Adaptive Geometric Interval Classifier
title_full Adaptive Geometric Interval Classifier
title_fullStr Adaptive Geometric Interval Classifier
title_full_unstemmed Adaptive Geometric Interval Classifier
title_short Adaptive Geometric Interval Classifier
title_sort adaptive geometric interval classifier
topic data classification
thematic mapping
optimization
cartography
geospatial analysis
url https://www.mdpi.com/2220-9964/11/8/430
work_keys_str_mv AT shuangli adaptivegeometricintervalclassifier
AT jieshan adaptivegeometricintervalclassifier