A new image compression method based on fractal equations

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dc.contributor.authorDos Santos Reis G.
dc.contributor.authorDe Oliveira P.P.B.
dc.date.accessioned2024-03-13T01:09:34Z
dc.date.available2024-03-13T01:09:34Z
dc.date.issued2011
dc.description.abstractA new image compression technique is proposed, based on the affine transformations (ATs) that define an iterated function system. Previous related research in the field has shown that an image may be approximated by iteratively subjecting a set of sub-regions to a group of ATs. In this case, it suffices to save the AT coefficients at issue and the corners of the regions; despite this advantage, the technique is computationally intensive, because both the sub-regions and the corresponding ATs have to be looked for. Here, a new form of similarity is proposed, based on the successive points generated by the iteration of affine transformations. By understanding an AT as a discrete dynamical system, with each image point represented by an iteration of the AT, the method captures similarities between these points, namely, those with the same color in the image; by saving the starting point and the transformations' coefficients, the points can be iterated back, to reconstruct the original image. This results in lighter computational effort, and promising results, since the comparison is made point by point, instead of region by region. © 2011 IEEE.
dc.description.firstpage421
dc.description.lastpage425
dc.identifier.doi10.1109/IWCFTA.2011.95
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/36893
dc.relation.ispartofProceedings - 4th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2011
dc.rightsAcesso Restrito
dc.subject.otherlanguageaffine transformation
dc.subject.otherlanguageDynamical system
dc.subject.otherlanguagefractal
dc.subject.otherlanguageimage compression
dc.subject.otherlanguageiterated function system
dc.titleA new image compression method based on fractal equations
dc.typeArtigo de evento
local.scopus.citations0
local.scopus.eid2-s2.0-84255194437
local.scopus.subjectAffine transformations
local.scopus.subjectComputational effort
local.scopus.subjectDiscrete dynamical systems
local.scopus.subjectImage compression methods
local.scopus.subjectImage compression techniques
local.scopus.subjectImage points
local.scopus.subjectIterated function system
local.scopus.subjectNew forms
local.scopus.subjectOriginal images
local.scopus.subjectRegion by region
local.scopus.subjectSub-regions
local.scopus.updated2024-05-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84255194437&origin=inward
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