TY - JOUR
T1 - A simple approach to the problem of 3-D reconstruction
AU - Brevdo, L.
AU - Sideman, S.
AU - Beyar, R.
PY - 1987
Y1 - 1987
N2 - 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).
AB - 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).
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U2 - 10.1016/0734-189X(87)90046-6
DO - 10.1016/0734-189X(87)90046-6
M3 - Article
AN - SCOPUS:0023311642
SN - 0734-189X
VL - 37
SP - 420
EP - 427
JO - Computer Vision, Graphics and Image Processing
JF - Computer Vision, Graphics and Image Processing
IS - 3
ER -