## 5 Conclusions  
A 3D TVI plane by plane technique using a 62 + 62 RC addressed array and a TO cross-correlation velocity estimator was investigated using simulations of a flow phantom with a parabolic flow profile at 6 different orientations. The employed method used a plane-by-plane sliding aperture sequence. The relative standard deviation is consistently below 6.29% for all flow orientations and down to 1.288% for flow parallel to the array's surface. The absolute bias varies from \(-\)13.52% to 14.65%, but this can be compensated due to the low standard deviation. The method has a low computational complexity comparable to what can be done in current commercial scanners. The method can thus be readily implemented on such systems for real-time tensor velocity imaging. The method using RC addressed array presented in this paper shows the possibility of implementing TVI on modern systems to show all three components of the flow (\(v_{x}\), \(v_{y}\), \(v_{z}\)) in real time. methodology, [PERSON], [PERSON], [PERSON] and [PERSON], validation, [PERSON], [PERSON], [PERSON] and [PERSON]; investigation, [PERSON]; writing--original draft preparation, [PERSON]; writing--review and editing, [PERSON], [PERSON] and [PERSON]; visualization, [PERSON]; All authors have read and agreed to the published version of the manuscript. methodology, [PERSON], [PERSON], [PERSON] and [PERSON], validation, [PERSON], [PERSON], [PERSON] and [PERSON]; investigation, [PERSON]; writing--revised draft preparation, [PERSON]; writing--revised draft and editing, [PERSON], [PERSON] and [PERSON]; visualization, [PERSON]; All authors have read and agreed to the published version of the manuscript. methodology, [PERSON], [PERSON], [PERSON] and [PERSON], validation, [PERSON], [PERSON], [PERSON] and [PERSON]; investigation, [PERSON]; writing--original draft preparation, [PERSON]; writing--review and editing, [PERSON], [PERSON] and [PERSON]; visualization, [PERSON]; All authors have read and agreed to the published version of the manuscript. methodology, [PERSON], [PERSON], [PERSON] and [PERSON], validation, [PERSON], [PERSON], [PERSON] and [PERSON]; investigation, [PERSON], [PERSON], [PERSON] and [PERSON]; investigation, [PERSON]; writing--revised draft preparation, [PERSON]; writing--revised and editing, [PERSON], [PERSON] and [PERSON]; visualization, [PERSON]; All authors have read and agreed to the published version of the manuscript. methodology, [PERSON], [PERSON], [PERSON] and [PERSON], validation, [PERSON], [PERSON] References  
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