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Affine-invariant querying of spatial data using a triangle-based logic
GeoInformatica ( IF 2 ) Pub Date : 2020-05-19 , DOI: 10.1007/s10707-020-00402-1
Sofie Haesevoets , Bart Kuijpers , Peter Z. Revesz

If the same land area is photographed from two different angles, then a computer can recognize the two images to show the same land area by proving that the images are affine-invariant. In practice, images are abstracted as a type of spatial data that is a finite set of triangles. Hence we propose a simple affine-generic query language with variables over finite sets of triangles. The proposed query language is intuitive and has the same expressive power as the affine-generic fragment of first-order logic over the reals on triangle databases.



中文翻译:

使用基于三角形的逻辑进行空间数据的仿射不变查询

如果从两个不同角度拍摄相同的陆地区域,则计算机可以通过证明图像是仿射不变的,从而识别出两个图像以显示相同的陆地区域。在实践中,图像被抽象为一种空间数据,它是有限的三角形集合。因此,我们提出了一种简单的仿射泛型查询语言,在有限的三角形集合上具有变量。所提出的查询语言是直观的,并且具有与三角数据库上的实数的一阶逻辑的仿射通用片段相同的表达能力。

更新日期:2020-05-19
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