Traditional diagram editors require the user to select the different available shapes from a list before placing them on the drawing area. In contrast, sketching allows the user to really draw diagrams like with pen and paper. The actual shapes are later recognized by software. This means an increased flexibility and simplicity in graphical user interfaces. We present a new approach towards ske...

The tropical Grassmannian parameterizes tropicalizations of ordinary linear spaces, while the Dressian parameterizes all tropical linear spaces in TP. We study these parameter spaces and we compute them explicitly for n ≤ 7. Planes are identified with matroid subdivisions and with arrangements of trees. These representations are then used to draw pictures.

In this paper, we study how human observers judge image similarity. To do so, we have conducted two psychophysical scaling experiments and have compared the results to two algorithmic image similarity metrics. For these experiments, we selected a set of 97 digitized photographic images which represent a range of semantic categories, viewing distances, and colors. We then used the two perceptual...