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Lookup NU author(s): Professor Mihai Putinar


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© 2017, Springer International Publishing AG. This chapter offers an overview of the main interlacing themes, with emphasis on historical development and identification of the original sources. When looking at a picture through a mathematical lens, several intrinsic inner skeletons pop up. They are sometimes called in a suggestive and colorful way the “mother body”, or “madonna body”, or “the ridge”, or “caustic” of the original picture. Geometric or analytic features characterize these skeletons, but in general they remain very shy, displaying their shapes and qualitative features only after challenging technical obstacles are resolved. For example, the natural skeleton of a disk is its center, the interval between the foci of an ellipse stands out as a canonical ridge. For reasons to be discussed in these notes, the internal bisector segments in a triangle form its “mother body”. Disagreement starts with a sector of a disk, where the “bodies” (maternal, madonna type, or the one proposed below) are different. In the scenario outlined in these notes, a disjoint union of disks has their centers as a natural skeleton.

Publication metadata

Author(s): Gustafsson B, Putinar M

Publication type: Editorial

Publication status: Published

Journal: Hyponormal Quantization of Planar Domains

Year: 2017

Volume: 2199

Pages: 1-5

Print publication date: 18/10/2017

Online publication date: 26/09/2017

Acceptance date: 02/04/2016

ISSN (print): 0075-8434

ISSN (electronic): 1617-9692

Publisher: Springer Verlag


DOI: 10.1007/978-3-319-65810-0_1

Notes: Lecture Notes in Mathematics