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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.
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
URL: https://doi.org/10.1007/978-3-319-65810-0_1
DOI: 10.1007/978-3-319-65810-0_1
Notes: Lecture Notes in Mathematics
