Compact and efficient 3D shape description through radial function approximation
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
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.
Medical and Health Sciences
IdentifiersURN: urn:nbn:se:liu:diva-27142DOI: 10.1016/S0169-2607(02)00126-8Local ID: 11790OAI: oai:DiVA.org:liu-27142DiVA: diva2:247693