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Area distances of convex plane curves and improper affine spheres
(Siam Publications, 2008)
The area distance to a convex plane curve is an important concept in computer vision. In this paper we describe a strong link between area distances and improper affine spheres. Based on this link, we propose an extremely ...
Affine properties of convex equal-area polygons
(Springer, 2012-10)
In this paper we discuss some affine properties of convex equal-area polygons, which are convex polygons such that all triangles formed by three consecutive vertices have the same area. Besides being able to approximate ...
M-affine functions of means with a simple functional weight
(Academic Press Inc Elsevier Science, 2020-07)
Several sufficient conditions are presented in order that the M-affine (continuous) functions corresponding to a (strict continuous) mean M be all affine functions.
RESTRICTED LIMITS OF MINIMAL AFFINIZATIONS
(Pacific Journal MathematicsBerkeleyEUA, 2010)
A geometric representation of improper indefinite affine spheres with singularities
(2011)
Given a pair of planar curves, one can define its generalized area distance, a concept that generalizes the area distance of a single curve. In this paper, we show that the generalized area distance of a pair of planar ...
Affine skeletons and monge-ampere equations
(Siam Publications, 2009)
An important question about a. ne skeletons is the existence of differential equations that are related to the 'affine distance' and the 'area distance' (hence to a. ne skeletons) in the same way the Eikonal equation is ...
Citharexylum affine D.Don
(2010)