Image Transformation on Hexagonal Structure Based on Conversion between 1D and 2D Coordinates

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Show simple item record Ye, Yuhuang en_US Li, Jianmin en_US Jia, Wenjing en_US Wu, Qiang en_US He, Sean en_US
dc.contributor.editor Wen, P.; Li, Y.; Polkowski, L.; Yao, Y.; Tsumoto, S.; & Wang, G. en_US 2010-05-28T09:38:07Z 2010-05-28T09:38:07Z 2009 en_US
dc.identifier 2009001963 en_US
dc.identifier.citation Ye Yuhuang et al. 2009, 'Image Transformation on Hexagonal Structure Based on Conversion between 1D and 2D Coordinates', in (ed.), Springer-Verlag, Berlin, Germany, pp. 571-578. en_US
dc.identifier.issn 978-3-642-02961-5 en_US
dc.identifier.other B1 en_US
dc.description.abstract Spiral Architecture, a hexagonal image structure is a novel and powerful approach to machine vision system. The pixels on Spiral architecture are geometrically arranged using a 1D (Spiral) addressing scheme in an ascending order along a spiral-like curve. Spiral addition and Spiral multiplication are defined based on the Spiral addresses on Spiral Architecture. These two fundamental operations result in fast and easy translation, rotation and separation on images, and hence play very important roles for image processing on Spiral Architecture. Moreover, 2D coordinates according to rows and columns defined on Spiral Structure provide a good mapping to the ordinary 2D coordinates defined on the common square image structure. Therefore, how to convert the 1D Spiral addresses from and to the 2D coordinates on Spiral Architecture has become very important to apply the theory developed on a hexagonal image structure for image processing (e.g., rotation). In this paper, we perform a fast way to correctly locate any hexagonal pixel when its Spiral address is known, and compute the Spiral address of any hexagonal pixel when its location is known. As an illustration of the use of conversions, we demonstrate the accurate image translation and rotation using experimental results. en_US
dc.language en_US
dc.publisher Springer en_US
dc.relation.hasversion Accepted manuscript version
dc.relation.isbasedon en_US
dc.rights The original publication is available at
dc.title Image Transformation on Hexagonal Structure Based on Conversion between 1D and 2D Coordinates en_US
dc.parent Rough Sets and Knowledge Technology en_US
dc.journal.volume en_US
dc.journal.number en_US
dc.publocation Berlin, Germany en_US
dc.identifier.startpage 571 en_US
dc.identifier.endpage 578 en_US FEIT.Faculty of Engineering & Information Technology en_US
dc.conference Verified OK en_US
dc.for 080106 en_US
dc.personcode 0000020951 en_US
dc.personcode 990421 en_US
dc.personcode 0000035917 en_US
dc.personcode 044299 en_US
dc.personcode 000748 en_US
dc.percentage 40 en_US Image Processing en_US
dc.classification.type FOR-08 en_US
dc.edition 1 en_US
dc.custom en_US en_US
dc.location.activity en_US
dc.description.keywords Hexagonal structure - Spiral Architecture - image transformation en_US
dc.staffid 000748 en_US

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