title: From regular text to artistic writing and artworks: Fourier statistics of images with low and high aesthetic appeal.
abstract: The spatial characteristics of letters and their influence on readability and letter identification have been intensely studied during the last decades. There have been few studies, however, on statistical image properties that reflect more global aspects of text, for example properties that may relate to its aesthetic appeal. It has been shown that natural scenes and a large variety of visual artworks possess a scale-invariant Fourier power spectrum that falls off linearly with increasing frequency in log-log plots. We asked whether images of text share this property. As expected, the Fourier spectrum of images of regular typed or handwritten text is highly anisotropic, i.e., the spectral image properties in vertical, horizontal, and oblique orientations differ. Moreover, the spatial frequency spectra of text images are not scale-invariant in any direction. The decline is shallower in the low-frequency part of the spectrum for text than for aesthetic artworks, whereas, in the high-frequency part, it is steeper. These results indicate that, in general, images of regular text contain less global structure (low spatial frequencies) relative to fine detail (high spatial frequencies) than images of aesthetics artworks. Moreover, we studied images of text with artistic claim (ornate print and calligraphy) and ornamental art. For some measures, these images assume average values intermediate between regular text and aesthetic artworks. Finally, to answer the question of whether the statistical properties measured by us are universal amongst humans or are subject to intercultural differences, we compared images from three different cultural backgrounds (Western, East Asian, and Arabic). Results for different categories (regular text, aesthetic writing, ornamental art, and fine art) were similar across cultures.
authors.affiliation: Experimental Aesthetics Group, Institute of Anatomy I, University of Jena School of Medicine, Jena University Hospital Jena, Germany.
authors.forename: Tamara
authors.initials: T
authors.lastname: Melmer
authors.forename: Seyed A
authors.initials: SA
authors.lastname: Amirshahi
authors.forename: Michael
authors.initials: M
authors.lastname: Koch
authors.forename: Joachim
authors.initials: J
authors.lastname: Denzler
authors.forename: Christoph
authors.initials: C
authors.lastname: Redies
keywords: abstract artworks; calligraphy; experimental aesthetics; ornamental art; scale invariance; spatial frequency; writing systems
references.citation: PLoS One. 2010 Aug 19;5(8):e12268
references.pmid: 20808863
references.citation: J Vis. 2007 Jul 30;7(2):16.1-9
references.pmid: 18217831
references.citation: Sci Am. 2002 Dec;287(6):116-21
references.pmid: 12469654
references.citation: Perception. 2007;36(12):1788-803
references.pmid: 18283929
references.citation: Front Hum Neurosci. 2011 Sep 12;5:98
references.pmid: 21941476
references.citation: Am Nat. 2006 May;167(5):E117-39
references.pmid: 16671005
references.citation: Curr Opin Neurobiol. 2003 Apr;13(2):144-9
references.pmid: 12744966
references.citation: J Vis. 2010 Nov 02;10(13):2
references.pmid: 21149306
references.citation: Behav Res Methods Instrum Comput. 2002 Nov;34(4):509-17
references.pmid: 12564555
references.citation: Vision Res. 2006 Dec;46(28):4646-74
references.pmid: 16808957
references.citation: Chaos. 2005 Dec;15(4):043702
references.pmid: 16396592
references.citation: J Vis. 2008 Oct 17;8(13):3.1-20
references.pmid: 19146333
references.citation: J Opt Soc Am A. 1987 Dec;4(12):2379-94
references.pmid: 3430225
references.citation: Spat Vis. 2007;21(1-2):149-64
references.pmid: 18073056
references.citation: Vision Res. 2007 Feb;47(4):437-51
references.pmid: 17223153
references.citation: Science. 2000 Feb 18;287(5456):1273-6
references.pmid: 10678835
references.citation: Proc Biol Sci. 2005 Feb 7;272(1560):267-75
references.pmid: 15705551
references.citation: Cereb Cortex. 2011 Oct;21(10):2307-12
references.pmid: 21368088
references.citation: J Vis. 2009 Aug 13;9(9):4.1-19
references.pmid: 19761337
references.citation: J Opt Soc Am A Opt Image Sci Vis. 2006 Sep;23(9):2085-96
references.pmid: 16912735
references.citation: Perception. 2008;37(7):1098-113
references.pmid: 18773732
references.citation: Network. 1996 May;7(2):333-9
references.pmid: 16754394
references.citation: J Neurosci. 2011 Oct 12;31(41):14745-53
references.pmid: 21994390
references.citation: Ophthalmic Physiol Opt. 1992 Apr;12(2):229-32
references.pmid: 1408179
references.citation: Curr Biol. 2000 Jan 13;10(1):35-8
references.pmid: 10660301
references.citation: Network. 2007 Sep;18(3):235-48
references.pmid: 17852751
references.citation: Spat Vis. 2007;21(1-2):137-48
references.pmid: 18073055
references.citation: Nature. 1994 Jun 2;369(6479):395-7
references.pmid: 8196766
references.citation: J Vis. 2009 Aug 28;9(9):16.1-19
references.pmid: 19761349
references.citation: Perception. 2008;37(9):1341-52
references.pmid: 18986061
references.citation: Appl Opt. 1987 Jan 1;26(1):157-70
references.pmid: 20454092
references.citation: Spat Vis. 2007;21(1-2):97-117
references.pmid: 18073053
references.citation: Neuroimage. 2012 Nov 1;63(2):979-88
references.pmid: 22480729
references.citation: Vision Res. 2011 Aug 1;51(15):1767-77
references.pmid: 21684303
references.citation: Perception. 2010;39(7):884-99
references.pmid: 20842966
references.citation: Vision Res. 2010 Jul 21;50(16):1503-9
references.pmid: 20580643
references.citation: Vision Res. 2002 Apr;42(9):1165-84
references.pmid: 11997055