| An equal area conversion model for rasterization of vector polygons |
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| 作者单位： | ZHOU ChengHu（State Key Laboratory of Resources and Environmental Information System, Institute of Geographic Sciences, and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China） ;
OU Yang（State Key Laboratory of Resources and Environmental Information System, Institute of Geographic Sciences, and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China） ;
YANG Liao（Xinjiang Institute of Ecology and Geography, Chinese Academy of Sciences, (U)rümqi 830011, China） ;
QIN Biao（Mathematics Department of Xi'an Transportation University, Xi'an 710009, China） ; |
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| 基金项目： | 中国科学院知识创新工程项目;国家自然科学基金 |
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| 摘 要： | Vector-raster conversion is one of the classic research topics in the field of Geographical Information Systems (GIS). The algorithms commonly used in GIS are devoted to maintaining the vector polygons' shape characteristics, but neglect the gain and loss of a polygon's area, which is another important attribute. This paper proposes an equal-area conversion model based on an area compensation optimization principle. According to the topological relationship among polygons and boundary grids, a neighborhood compensation principle was adopted to assign the attributes of boundary grids and a global optimization algorithm was developed to minimize area distortion in the whole data set. Two experiments were designed and the results indicated that this algorithm not only guaranteed the area error is as small as possible, but also has the advantage as being adaptive to polygon shape and spatial structure.
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An equal area conversion model for rasterization of vector polygons |
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| Authors: | ZHOU ChengHu OU Yang YANG Liao QIN Biao |
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| Abstract: | Vector-raster conversion is one of the classic research topics in the field of Geographical Information Systems (GIS). The algorithms commonly used in GIS are devoted to maintaining the vector polygons' shape characteristics, but neglect the gain and loss of a polygon's area, which is another important attribute. This paper proposes an equal-area conversion model based on an area compensation optimization principle. According to the topological relationship among polygons and boundary grids, a neighborhood compensation principle was adopted to assign the attributes of boundary grids and a global optimization algorithm was developed to minimize area distortion in the whole data set. Two experiments were designed and the results indicated that this algorithm not only guaranteed the area error is as small as possible, but also has the advantage as being adaptive to polygon shape and spatial structure. |
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| Keywords: | vector polygon vector-raster conversion boundary grid area distortion boundary geometric characteristics |
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