On the inverse problem of fractal compression

Zitieren

Dateien zu dieser Ressource

Prüfsumme: MD5:1e9e35f8d633297093ba8f5bfae19090

HARTENSTEIN, Hannes, Matthias RUHL, Dietmar SAUPE, Edward R. VRSCAY, 2001. On the inverse problem of fractal compression. In: FIEDLER, Bernold, ed.. Ergodic theory, analysis and efficient simulation of dynamical Systems. Berlin [u.a.]:Springer, pp. 617-647. ISBN 3-540-41290-5

@incollection{Hartenstein2001inver-23256, title={On the inverse problem of fractal compression}, year={2001}, isbn={3-540-41290-5}, address={Berlin [u.a.]}, publisher={Springer}, booktitle={Ergodic theory, analysis and efficient simulation of dynamical Systems}, pages={617--647}, editor={Fiedler, Bernold}, author={Hartenstein, Hannes and Ruhl, Matthias and Saupe, Dietmar and Vrscay, Edward R.} }

<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/23256"> <dc:creator>Hartenstein, Hannes</dc:creator> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:abstract xml:lang="eng">The inverse problem of fractal compression amounts to determining a contractive operator such that the corresponding fixed point approximates a given target function. The standard method based on the collage coding strategy is known to represent a suboptimal method. Why does one not search for optimal fractal codes? We will prove that optimal fractal coding, when considered as a discrete optimization problem, constitutes an NP-hard problem, i.e., it cannot be solved in a practical amount of time. Nevertheless, when the fractal code parameters are allowed to vary continuously, we show that one is able to improve on collage coding by fine-tuning some of the fractal code parameters with the help of differential methods. The differentiability of the attractor as a function of its luminance parameters is established. We also comment on the approximating behaviour of collage coding, state a lower bound for the optimal attractor error, and outline an annealing scheme for improved fractal coding.</dcterms:abstract> <dc:contributor>Saupe, Dietmar</dc:contributor> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/36"/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-05-28T09:55:22Z</dc:date> <dc:contributor>Ruhl, Matthias</dc:contributor> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103605204-4002607-1"/> <dcterms:issued>2001</dcterms:issued> <dc:rights>deposit-license</dc:rights> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/36"/> <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/23256/2/hartenstein_232562.pdf"/> <dc:contributor>Hartenstein, Hannes</dc:contributor> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/23256"/> <dc:creator>Ruhl, Matthias</dc:creator> <dc:language>eng</dc:language> <dc:contributor>Vrscay, Edward R.</dc:contributor> <dc:creator>Vrscay, Edward R.</dc:creator> <dcterms:title>On the inverse problem of fractal compression</dcterms:title> <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/23256/2/hartenstein_232562.pdf"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-05-28T09:55:22Z</dcterms:available> <dc:creator>Saupe, Dietmar</dc:creator> <dcterms:bibliographicCitation>Ergodic theory, analysis and efficient simulation of dynamical Systems / Bernold Fiedler (ed.). - Berlin [u.a.] : Springer, 2001. - S. 617-647. - ISBN 3-540-41290-5</dcterms:bibliographicCitation> </rdf:Description> </rdf:RDF>

Dateiabrufe seit 01.10.2014 (Informationen über die Zugriffsstatistik)

hartenstein_232562.pdf 195

Das Dokument erscheint in:

KOPS Suche


Stöbern

Mein Benutzerkonto