Refereed full papers (journals, book chapters, international conferences)

2004

@article{BoK2004,
	vgclass =	{refpap},
	author =	{Mireille Boutin and Gregor Kemper},
	title =	{On reconstructing $n$-point configurations from the
	distribution of distances or areas},
	journal =	{Advances in Applied Mathematics},
	volume =	{32},
	number =	{4},
	pages =	{709--735},
	month =	{May},
	year =	{2004},
	url =	{http://dx.doi.org/10.1016/S0196-8858(03)00101-5},
	abstract =	{One way to characterize configurations of points up to
	congruence is by considering the distribution of all mutual distances
	between points. This paper deals with the question if point
	configurations are uniquely determined by this distribution. After
	giving some counterexamples, we prove that this is the case for the
	vast majority of configurations.

	In the second part of the paper, the distribution of areas of
	sub-triangles is used for characterizing point configurations. Again it
	turns out that most configurations are reconstructible from the
	distribution of areas, though there are counterexamples.},
}