Summary
A formula for the error estimation of strains is derived for tagged magnetic resonance (MR) images of the heart based on a strain interpolation method in a triangular element commonly used in a finite element method. Then the accuracy of strain estimation is discussed for images in a cardiac cycle. The result of error estimation shows that the error of strains is determined by an error not in the reference phase but in the current phase of an image. It also indicates that a large number of pixels for a grid interval reduce the estimated strain error. A smoothing method is introduced for a small region of interest. An example of smoothing shows a reasonably averaged change in the minimum strain of a cardiac cycle.
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References
Azhari H, Weiss JL, Rogers WJ, Walter JR, Siu CO, Zerhouni EA, Shapiro EP (1993) Noninvasive quantification of principal strains in normal canine hearts using tagged MRI images in 3-D. Am J Physiol 264: H205 - H216
Moore CC, O’Dell WG, McVeigh ER, Zerhouni EA (1992) Calculation of three-dimensional left ventricular strains from biplanar tagged MR images. J Magn Reson Imaging 2: 165 - 175
Park J, Metaxas D, Axel L (1996) Analysis of left ventricular wall motion based on volmetric deformable models and MRI-SPAMM. Medical Image Analysis 1: 53 - 71
Waldman LK, McCulloch AD (1993) Nonhomogeneous ventricular wall strain: analysis of errors and accuracy. Trans ASME, J Biomech Eng 115: 497 - 502
Yamada H, Wang C, Sekioka K (1997) Three-dimensional analyses of a local region of the left ventricular wall with tagged MR images. In: Tanishita K, Sato M (eds) Proc Int Conf New Frontiers Biomech Eng, JSME, Tokyo, pp 327 - 330
Young AA, Axel L (1992) Three-dimensional motion and deformation of the heart wall: estimation with spatial modulation of magnetization magnetization — a model-based approach. Radiology 185: 241 - 247
Young AA (1999) Model tags: direct three-dimensional tracking of heart wall motion from tagged magnetic resonance images. Medical Image Analysis 3: 361 - 372
Zerhouni EA, Parish DM, Rogers WJ, Young A, Shapiro EP (1988) Human heart: tagging with MR imaging — a method for noninvasive assessment of myocardial motion. Radiology 169: 59 - 63
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© 2000 Springer Japan
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Yamada, H., Sekioka, K. (2000). Error Estimation and Smoothing for Regional Deformation Analysis of the Heart with Tagged Magnetic Resonance Images. In: Yamaguchi, T. (eds) Clinical Application of Computational Mechanics to the Cardiovascular System. Springer, Tokyo. https://doi.org/10.1007/978-4-431-67921-9_8
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DOI: https://doi.org/10.1007/978-4-431-67921-9_8
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-67989-9
Online ISBN: 978-4-431-67921-9
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