1999
DOI: 10.1016/s0010-4825(98)00045-6
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A three-dimensional model for arterial tree representation, generated by constrained constructive optimization

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Cited by 124 publications
(169 citation statements)
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References 32 publications
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“…3D functional models have been presented in [1,13]. The model [1] was extended to allow infusion of CM and its propagation from the main supplying vessels (hepatic artery, portal vein) to the output hepatic vein, through the parenchyma.…”
Section: State Of the Artmentioning
confidence: 99%
“…3D functional models have been presented in [1,13]. The model [1] was extended to allow infusion of CM and its propagation from the main supplying vessels (hepatic artery, portal vein) to the output hepatic vein, through the parenchyma.…”
Section: State Of the Artmentioning
confidence: 99%
“…This approximation allows the computational complexity to be significantly reduced leading to the simulation of complex trees in a very short time. Another approach was presented by Karch et al [4], where all vessel parameters are recomputed during the optimization of a single bifurcation.…”
Section: Vascular Tree Optimizationmentioning
confidence: 99%
“…When the updating strategy is used this time is reduced by 40% and the fast updating procedure leads to a three times faster optimization. In comparison, in [4] the computing time for a tree with 4000 macro-cells is approximately 10 h on a DEC-Alpha 21164/333 MHz, to get similar vascular trees. The main concepts of the model presented in [3] and the extension described here are close to those reported in [4].…”
Section: Application To the Liver Arterial Treementioning
confidence: 99%
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“…When generating the coronary artery tree special care has to be paid to the realism, in particular the irregularity, and biological constraints. If procedural model generation is used it could be based on the work of Karch et al [18] with the addition of biological constraints. The latter address the fact that three main coronary arteries -the left anterior descendant artery and the left circumflex artery on the left side and the right coronary artery on the right side -supply all regions of the heart.…”
Section: Use-case Scenariosmentioning
confidence: 99%