Abstract
An approach is described for creating a 3-D computer model of the abdominal aorta from just two projective images. The aorta is modeled by conical segments connecting circular cross sections. Accuracy of this technique is within 1 mm. From the 3-D computer model, quantitative measurements of vessel dameter, length, and position are available for any subset of the arterial structure. Visualization is enhanced by displaying the computer model rather than a direct set of images obtained from different perspectives. Ambiguities from overlapping branches can be resolved by rotating the model or by eliminating the interfering structures. This approach has been applied in both phatom studies, in which quantitative comparisons were made, andin vivo studies, in which qualitative evaluations were made.
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Abbreviations
- S 1,S 2 :
-
3-D positions of X ray sources for view 1 and 2
- P 1,P 2 :
-
3-D coordinates of projected point in view 1 and 2
- L 1,L 2 :
-
projection lines from S1 to P1, from S2 to P2
- t 1,t 2 :
-
scalar parameters for projection lines 1 and 2
- ·:
-
3-D vector dot product
- D 1 :
-
(S1−P1)
- D 2 :
-
(S2−P2)
- e 1 :
-
unit direction vector defining the horizontal axis
- e 2 :
-
unit direction vector defining the vertical axis
- u :
-
cm from image center to projected point in horizontal direction
- v :
-
cm from image center to projected point in vertical direction
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Peifer, J.W., Ku, D.N. Computer modeling of the abdominal aorta using magnetic resonance images. Ann Biomed Eng 21, 237–245 (1993). https://doi.org/10.1007/BF02368179
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DOI: https://doi.org/10.1007/BF02368179