This is sometimes referred to as image to vector conflation.
Qgis rubber sheeting.
Rubber sheeting polygon collection into another using postgis.
Rubber sheeting is a useful technique in historical gis where it is used to digitize and add old maps as feature layers in a modern gis.
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Rubber sheeting is commonly used after a transformation to further refine the alignment accuracy of the transformed features.
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In cartography rubbersheeting refers to the process by which a layer is distorted to allow it to be seamlessly joined to an adjacent geographic layer of matching imagery such as satellite imagery most commonly vector cartographic data which are digital maps.
In cartography this is known as rubber sheeting because it treats the map as if it were made of rubber and the control points as if they were tacks pinning the historical document to a three dimensional surface like the globe.
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For steps to transform features using affine or similarity transformation methods see transform features.
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Rubber sheeting may improve the value of such sources and make them easier to compare to modern maps.