A methodology for balancing the preservation of area, shape, and topological properties in polygon-to-raster conversion

We proposed a new methodology for reducing multiple types of rasterization errors to simultaneously preserve the spatial properties of area, shape, and topology in polygon-to-raster conversion. By reassigning cells of the rasterized outcome, the method first compensates for the loss in shape properties. Topological changes are then corrected by comparing the topological relations of raster regions and their corresponding polygons. Finally, the areas between pairs of neighboring regions are coordinated to maintain area properties.<br>本研究提出了一种可降低多种栅格化误差的新方法，以在多边形转栅格（polygon-to-raster conversion）转换过程中同时保留面积、形状与拓扑三类空间属性。<br>该方法首先通过对栅格化结果的像元进行重新赋值，补偿形状属性的损失。<br>随后，通过对比栅格区域与其对应多边形的拓扑关系，修正拓扑变化。<br>最终，通过协调相邻区域对之间的面积，以维持面积属性。