in LV flux based on these two assumptions can clearly be seen in this figure. Comparing the ejection fraction ($EF$), which is typically used by physicians as an indicator of heart functionality, an increase of $4\%$ ($0.46$ for apex fixed vs. $0.44$ for SA basal section fixed) in the calculation of $EF$ is observed using the apex fixed assumption. The $4\%$ difference in the $EF$ is not be considerable for identifying heart failure with reduced $EF$ (for human usually $EF$ is usually more than $50\%$ and less than $40$ for healthy heart and heart failure, respectively). However, assumption of fixed apex can affect the investigation of flow features inside the LV as well as the LV flux during a cardiac cycle and consequently synchronous of valves opening and closing with the LV flux.

Accuracy vs. smoothness in geometric reconstruction {#smoothness in geometric}
---------------------------------------------------

The segmented data from the echo images are not smooth. Employing different smoothing algorithms can change the results of the final geometric reconstruction of LV. The ideal smoothing algorithm should preserve the shape of data (segmented from echo) while avoiding over-fitting (ringing) in the final geometry. Fig. \[smoothing\]-a shows the final smoothed curve that resulted from implementing 