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Geometric Study of Minkowski Differences of Plane Convex Bodies

Geometric Study of Minkowski Differences of Plane Convex Bodies

Abstract In the Euclidean plane โ„ 2 , we define the Minkowski difference ๐’ฆโ€“๐“› of two arbitrary convex bodies ๐’ฆ, ๐“› as a rectifiable closed curve โ„‹ h โŠ‚ โ„ 2 that is determined by the difference h = h ๐’ฆ โ€“ h ๐“› of their support functions. This curve โ€ฆ