A simple approach to the problem of 3-D reconstruction

L. Brevdo, S. Sideman, R. Beyar

Research output: Contribution to journalArticle

Abstract

A relatively simple mathematical procedure for the reconstruction of the 3-dimensional (3D) image of the left ventricle (LV) of the heart is presented. The method is based on the assumption that every ray whoch emanates from the midpoint of the long axis of the 3D body crosses the surface boundary of the ventricle at one and only one point. The coordinates ri, φi, θi of the data points on, say, the outer boundary, (i.e., the epicardium) are calculated in a spherical coordinate system having its origin in the midpoint of the long axis. The problem of defining the coordinates of a prescribed grid point on the boundary is treated as an interpolation problem for the function r = r(φ, θ), defined in the rectangle 0 ≤ φ ≤ 2π; 0 ≤ θ ≤ π with ri given in the points (φi, θi).

Original languageEnglish (US)
Pages (from-to)420-427
Number of pages8
JournalComputer Vision, Graphics and Image Processing
Volume37
Issue number3
DOIs
StatePublished - 1987
Externally publishedYes

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Interpolation
interpolation
co-ordinate system
method

ASJC Scopus subject areas

  • Engineering(all)

Cite this

A simple approach to the problem of 3-D reconstruction. / Brevdo, L.; Sideman, S.; Beyar, R.

In: Computer Vision, Graphics and Image Processing, Vol. 37, No. 3, 1987, p. 420-427.

Research output: Contribution to journalArticle

Brevdo, L. ; Sideman, S. ; Beyar, R. / A simple approach to the problem of 3-D reconstruction. In: Computer Vision, Graphics and Image Processing. 1987 ; Vol. 37, No. 3. pp. 420-427.
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