Nonasymptotic Densities for Shape Reconstruction
Joint Authors
Ibrahim, Sharif
Sonnanburg, Kevin
Asaki, Thomas J.
Vixie, Kevin R.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-20
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
In this work, we study the problem of reconstructing shapes from simple nonasymptotic densities measured only along shape boundaries.
The particular density we study is also known as the integral area invariant and corresponds to the area of a disk centered on the boundary that is also inside the shape.
It is easy to show uniqueness when these densities are known for all radii in a neighborhood of r=0, but much less straightforward when we assume that we only know the area invariant and its derivatives for only one r>0.
We present variations of uniqueness results for reconstruction (modulo translation and rotation) of polygons and (a dense set of) smooth curves under certain regularity conditions.
American Psychological Association (APA)
Ibrahim, Sharif& Sonnanburg, Kevin& Asaki, Thomas J.& Vixie, Kevin R.. 2014. Nonasymptotic Densities for Shape Reconstruction. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1013733
Modern Language Association (MLA)
Ibrahim, Sharif…[et al.]. Nonasymptotic Densities for Shape Reconstruction. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1013733
American Medical Association (AMA)
Ibrahim, Sharif& Sonnanburg, Kevin& Asaki, Thomas J.& Vixie, Kevin R.. Nonasymptotic Densities for Shape Reconstruction. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1013733
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013733