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Mass Density Laplace-Spectra for Image Recognition

Peinecke, Niklas and Wolter, Franz-Erich (2007) Mass Density Laplace-Spectra for Image Recognition. In: Proceedings of Cyberworlds 2007. IEEE Computer Society Press. Cyberworlds 2007, NASAGEM 07, 2007-10-24 - 2007-10-27, Hannover, Germany.

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Modern multimedia applications generate vast amounts of image data. With the availability of cheap photo hardware and affordable rendering software even more such data is being collected. In order to manage huge collections of image data one needs short representations of the data sets, or to be more precise invariant features being appropriate to identify a specific voxel data set using just a few numbers. This paper describes a variation of a method introduced by Reuter, Wolter and Peinecke based on the computation of the spectrum of the Laplace operator for the image for generating an invariant feature vector - a fingerprint. Oppose to previous techniques interpreting the image as a height function we make use of the representation of the image as a density function. We discuss the use of the spectrum of eigenvalues of the Laplace mass density operator as a fingerprint and show the usability of this approach in several cases. Instead of using the discrete Laplace-Kirchhoff operator the approach presented in this paper is based on the continuous Laplace operator allowing better results in comparing the resulting spectra and deeper insights into the problems arising when comparing two spectra generated using discrete Laplacians.

Item URL in elib:https://elib.dlr.de/51766/
Document Type:Conference or Workshop Item (Speech, Paper)
Title:Mass Density Laplace-Spectra for Image Recognition
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Wolter, Franz-ErichUniversität HannoverUNSPECIFIEDUNSPECIFIED
Date:27 October 2007
Journal or Publication Title:Proceedings of Cyberworlds 2007
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
EditorsEmailEditor's ORCID iDORCID Put Code
Publisher:IEEE Computer Society Press
Keywords:Laplace spectra, gray value image, shape recognition, image recognition, Laplace-Beltrami operator, fingerprints, spectra, features, invariants, image data bases
Event Title:Cyberworlds 2007, NASAGEM 07
Event Location:Hannover, Germany
Event Type:international Conference
Event Start Date:24 October 2007
Event End Date:27 October 2007
Organizer:Universität Hannover
HGF - Research field:other
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:no assignment
DLR - Program:no assignment
DLR - Research theme (Project):no assignment
Location: Braunschweig
Institutes and Institutions:Institute of Flight Guidance > Pilot Assistance
Deposited By: Peinecke, Dr.rer.nat. Niklas
Deposited On:23 Jan 2008
Last Modified:24 Apr 2024 19:14

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