Seeing Things: Inventive Reasoning with Geometric Analogies and Topographic Maps

This paper examines two seemingly unrelated qualitative spatial reasoning domains; geometric proportional analogies and topographic (land-cover) maps. We present a Structure Matching algorithm that combines Gentner’s structuremapping theory with an attributematching process. We use structure matching to solve geometric analogy problems that involve manipulating attribute information, such as colors and patterns. Structure matching is also used to creatively interpret topographic (land-cover) maps, adding a wealth of semantic knowledge and providing a far richer interpretation of the raw data. We return to the geometric proportional analogies, identify alternate attribute matching processes that are required to solve different categories of problems. Finally, we assess some implications for computationally creative and inventive models

Geometric Analogies and Topographic Maps

In this paper we describe the application of geometric analogies to the GeoComputation domain. We describe geometric analogies that include attributes (patterns and color). We identify two variants on an attribute matching algorithm that are required to solve these problems. Next we describe how we use one of these algorithms to identify targeted structures within a topographic database (map). We describe a how a problem in topographic datasets is solved using this technique, detailing results on four different datasets. Finally, we outline a variety of other problems that are being addressed, based on the same algorithm

Geometric Analogies and Topographic Maps

In this paper we describe the application of geometric analogies to the GeoComputation domain. We describe geometric analogies that include attributes (patterns and color). We identify two variants on an attribute matching algorithm that are required to solve these problems. Next we describe how we use one of these algorithms to identify targeted structures within a topographic database (map). We describe a how a problem in topographic datasets is solved using this technique, detailing results on four different datasets. Finally, we outline a variety of other problems that are bein

Geometric Analogies and Topographic Maps

In this paper we describe the application of geometric analogies to the GeoComputation domain. We describe geometric analogies that include attributes (patterns and color). We identify two variants on an attribute matching algorithm that are required to solve these problems. Next we describe how we use one of these algorithms to identify targeted structures within a topographic database (map). We describe a how a problem in topographic datasets is solved using this technique, detailing results on four different datasets. Finally, we outline a variety of other problems that are being addressed, based on the same algorithm

Geometric Analogies and Topographic Maps

In this paper we describe the application of geometric analogies to the GeoComputation domain. We describe geometric analogies that include attributes (patterns and color). We identify two variants on an attribute matching algorithm that are required to solve these problems. Next we describe how we use one of these algorithms to identify targeted structures within a topographic database (map). We describe a how a problem in topographic datasets is solved using this technique, detailing results on four different datasets. Finally, we outline a variety of other problems that are being addressed, based on the same algorithm