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Distance Transforms for Three-Dimensional Grids with Non-Cubic Voxels
Uppsala University, Interfaculty Units, Centre for Image Analysis. Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology, Computerized Image Analysis.
Uppsala University, Interfaculty Units, Centre for Image Analysis. Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology, Computerized Image Analysis.
2005 (English)In: Computer Vision and Image Understanding, ISSN 1077-3142, Vol. 100, no 3, p. 294-311Article in journal (Refereed) Published
Abstract [en]

Distance transforms on the face-centered cubic (fcc) grid and the body-centered cubic (bcc) grid are examined. Since the voxels on the fcc and bcc grids are better approximations of a Euclidean ball than the cube, the distance transforms (DTs) on these grids can be less rotation dependent than those in , which is a desirable feature. Optimal (according to the error function) weights are calculated and integer approximations of these weights are found. Also, the two-dimensional city block distance is generalized to the fcc and bcc grids by considering a unit distance between gridpoints whose corresponding voxels share a face. A method to compute the DTs is presented. The results are evaluated both theoretically and by actually computing some DTs.

Place, publisher, year, edition, pages
2005. Vol. 100, no 3, p. 294-311
National Category
Computer Vision and Robotics (Autonomous Systems)
Identifiers
URN: urn:nbn:se:uu:diva-75112OAI: oai:DiVA.org:uu-75112DiVA, id: diva2:103022
Available from: 2006-01-09 Created: 2006-01-09 Last updated: 2018-01-14

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http://authors.elsevier.com/sd/article/S1077314205000524

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Strand, RobinBorgefors, Gunilla

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