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Compact and efficient 3D shape description through radial function approximation
Linköping University, Faculty of Health Sciences. Linköping University, Department of Medicine and Care, Radiology. Östergötlands Läns Landsting, Centre for Medical Imaging, Department of Radiology UHL. Linköping University, Center for Medical Image Science and Visualization, CMIV.ORCID iD: 0000-0002-7750-1917
2003 (English)In: Computer Methods and Programs in Biomedicine, ISSN 0169-2607, E-ISSN 1872-7565, Vol. 72, no 2, 89-97 p.Article in journal (Refereed) Published
Abstract [en]

A fast and simple method for three-dimensional shape description is described. The method views a 3D object as a radial distance function on the unit sphere, and thus reduces the dimensionality of the description problem by one. The radial distance function is approximated by Fourier methods in the basis of the spherical harmonic polynomials. The necessary integration is carried out on the object boundary, rather than on the unit sphere. Consequently, there is no need of a parameterisation of the object surface. The description makes it possible to compare shapes in a computationally very simple way. Solutions on how to cope with translated and rotated objects are discussed. The method is developed for star-shaped objects, but is stable even if the input image is non-star-shaped. The method is tested in a data set from magnetic resonance imaging (MRI) of the brain. Potential medical applications are discussed. ⌐ 2002 Elsevier Science Ireland Ltd. All rights reserved.

Place, publisher, year, edition, pages
2003. Vol. 72, no 2, 89-97 p.
National Category
Medical and Health Sciences
URN: urn:nbn:se:liu:diva-27142DOI: 10.1016/S0169-2607(02)00126-8Local ID: 11790OAI: diva2:247693
Available from: 2009-10-08 Created: 2009-10-08 Last updated: 2013-09-05

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Smedby, Örjan
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Faculty of Health SciencesRadiologyDepartment of Radiology UHLCenter for Medical Image Science and Visualization, CMIV
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Computer Methods and Programs in Biomedicine
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