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A generalized cross-tabulation matrix to compare soft-classified maps at multiple resolutions

机译：广义交叉列表矩阵，用于比较多种分辨率下的软分类地图

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摘要

This paper addresses two grand challenges in the development of methods for Geographic Information Science (GIS). First, this paper presents techniques to compute a cross-tabulation matrix for soft-classified pixels. Second, it shows how to compute the cross-tabulation matrix at multiple scales. The traditional approach to construct the cross-tabulation matrix uses a Boolean operator to analyse pixels that are hard-classified. For soft-classified pixels, the contemporary approach uses a Multiplication operator; the fuzzy approach uses a Minimum operator; whereas this paper proposes a multiple-resolution approach that uses a Composite operator. There are difficulties with the traditional, contemporary, and fuzzy methods of computing the cross-tabulation matrix. The proposed multiple-resolution method resolves those difficulties. Furthermore, the proposed method facilitates multiple-resolution analysis, so it can examine how results change as a function of scale. The paper derives the equations to compute cross-tabulation matrices at multiple resolutions and connects those equations to ontological foundations of GIS.
机译：本文解决了地理信息科学（GIS）方法开发中的两个重大挑战。首先，本文介绍了用于计算软分类像素的交叉列表矩阵的技术。其次，它显示了如何在多个尺度上计算交叉列表矩阵。构造交叉列表矩阵的传统方法使用布尔运算符来分析经过硬分类的像素。对于软分类的像素，现代方法使用乘法运算符。模糊方法使用最小运算符；而本文提出了一种使用复合算子的多分辨率方法。传统的，当代的和模糊的计算交叉列表矩阵的方法存在困难。所提出的多分辨率方法解决了这些困难。此外，提出的方法有助于进行多分辨率分析，因此它可以检查结果如何随比例变化。本文推导了方程，以多种分辨率计算交叉制表矩阵，并将这些方程与GIS的本体论基础联系起来。

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