Article: Point sampling with general noise spectrum

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TitlePoint sampling with general noise spectrum
AuthorsZhou, Y
Huang, H
Wei, LY
Wang, R
KeywordsPoint sampling
Noise spectrum
Adaptive sampling
Issue Date2012
PublisherAssociation for Computing Machinery, Inc. The Journal's web site is located at http://tog.acm.org
CitationACM Transactions on Graphics, 2012, v. 31 n. 4, article no. 76, p. 76:1-76:11 [How to Cite?]
DOI: http://dx.doi.org/10.1145/2185520.2185572
AbstractPoint samples with different spectral noise properties (often defined using color names such as white, blue, green, and red) are important for many science and engineering disciplines including computer graphics. While existing techniques can easily produce white and blue noise samples, relatively little is known for generating other noise patterns. In particular, no single algorithm is available to generate different noise patterns according to user-defined spectra. In this paper, we describe an algorithm for generating point samples that match a user-defined Fourier spectrum function. Such a spectrum function can be either obtained from a known sampling method, or completely constructed by the user. Our key idea is to convert the Fourier spectrum function into a differential distribution function that describes the samples' local spatial statistics; we then use a gradient descent solver to iteratively compute a sample set that matches the target differential distribution function. Our algorithm can be easily modified to achieve adaptive sampling, and we provide a GPU-based implementation. Finally, we present a variety of different sample patterns obtained using our algorithm, and demonstrate suitable applications.
DescriptionSIGGRAPH 2012 Conference Proceedings
ISSN0730-0301
2011 Impact Factor: 3.489
2011 SCImago Journal Rankings: 0.093
DOIhttp://dx.doi.org/10.1145/2185520.2185572
DC Field
Value
dc.contributor.authorZhou, Y
dc.contributor.authorHuang, H
dc.contributor.authorWei, LY
dc.contributor.authorWang, R
dc.date.accessioned2012-09-20T08:24:21Z
dc.date.available2012-09-20T08:24:21Z
dc.date.issued2012
dc.description.abstractPoint samples with different spectral noise properties (often defined using color names such as white, blue, green, and red) are important for many science and engineering disciplines including computer graphics. While existing techniques can easily produce white and blue noise samples, relatively little is known for generating other noise patterns. In particular, no single algorithm is available to generate different noise patterns according to user-defined spectra. In this paper, we describe an algorithm for generating point samples that match a user-defined Fourier spectrum function. Such a spectrum function can be either obtained from a known sampling method, or completely constructed by the user. Our key idea is to convert the Fourier spectrum function into a differential distribution function that describes the samples' local spatial statistics; we then use a gradient descent solver to iteratively compute a sample set that matches the target differential distribution function. Our algorithm can be easily modified to achieve adaptive sampling, and we provide a GPU-based implementation. Finally, we present a variety of different sample patterns obtained using our algorithm, and demonstrate suitable applications.
dc.descriptionSIGGRAPH 2012 Conference Proceedings
dc.identifier.citationACM Transactions on Graphics, 2012, v. 31 n. 4, article no. 76, p. 76:1-76:11 [How to Cite?]
DOI: http://dx.doi.org/10.1145/2185520.2185572
dc.identifier.doihttp://dx.doi.org/10.1145/2185520.2185572
dc.identifier.epage76:11
dc.identifier.hkuros206835
dc.identifier.issn0730-0301
2011 Impact Factor: 3.489
2011 SCImago Journal Rankings: 0.093
dc.identifier.issue4
dc.identifier.spage76:1
dc.identifier.urihttp://hdl.handle.net/10722/165833
dc.identifier.volume31
dc.languageeng
dc.publisherAssociation for Computing Machinery, Inc. The Journal's web site is located at http://tog.acm.org
dc.publisher.placeUnited States
dc.relation.ispartofACM Transactions on Graphics
dc.rightsACM Transactions on Graphics. Copyright © Association for Computing Machinery, Inc..
dc.subjectPoint sampling
dc.subjectNoise spectrum
dc.subjectAdaptive sampling
dc.titlePoint sampling with general noise spectrum
dc.typeArticle