477 research outputs found

    Image based approach for early assessment of heart failure.

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    In diagnosing heart diseases, the estimation of cardiac performance indices requires accurate segmentation of the left ventricle (LV) wall from cine cardiac magnetic resonance (CMR) images. MR imaging is noninvasive and generates clear images; however, it is impractical to manually process the huge number of images generated to calculate the performance indices. In this dissertation, we introduce a novel, fast, robust, bi-directional coupled parametric deformable models that are capable of segmenting the LV wall borders using first- and second-order visual appearance features. These features are embedded in a new stochastic external force that preserves the topology of the LV wall to track the evolution of the parametric deformable models control points. We tested the proposed segmentation approach on 15 data sets in 6 infarction patients using the Dice similarity coefficient (DSC) and the average distance (AD) between the ground truth and automated segmentation contours. Our approach achieves a mean DSC value of 0.926±0.022 and mean AD value of 2.16±0.60 mm compared to two other level set methods that achieve mean DSC values of 0.904±0.033 and 0.885±0.02; and mean AD values of 2.86±1.35 mm and 5.72±4.70 mm, respectively. Also, a novel framework for assessing both 3D functional strain and wall thickening from 4D cine cardiac magnetic resonance imaging (CCMR) is introduced. The introduced approach is primarily based on using geometrical features to track the LV wall during the cardiac cycle. The 4D tracking approach consists of the following two main steps: (i) Initially, the surface points on the LV wall are tracked by solving a 3D Laplace equation between two subsequent LV surfaces; and (ii) Secondly, the locations of the tracked LV surface points are iteratively adjusted through an energy minimization cost function using a generalized Gauss-Markov random field (GGMRF) image model in order to remove inconsistencies and preserve the anatomy of the heart wall during the tracking process. Then the circumferential strains are straight forward calculated from the location of the tracked LV surface points. In addition, myocardial wall thickening is estimated by co-allocation of the corresponding points, or matches between the endocardium and epicardium surfaces of the LV wall using the solution of the 3D laplace equation. Experimental results on in vivo data confirm the accuracy and robustness of our method. Moreover, the comparison results demonstrate that our approach outperforms 2D wall thickening estimation approaches

    Improving patient-specific assessments of regional aortic mechanics via quantitative magnetic resonance imaging with early applications in patients at elevated risk for thoracic aortopathy

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    Unstable aortic aneurysms and dissections are serious cardiovascular conditions associated with high mortality. The current gold standards for assessment of stability, however, rely on simple geometric measurements, like cross-sectional area or increased diameter between follow-up scans, and fail to incorporate information about underlying aortic mechanics. Displacement encoding with stimulated echoes (DENSE) magnetic resonance imaging (MRI) has been used previously to determine heterogeneous circumferential strain patterns in the aortas of healthy volunteers. Here, I introduce technical improvements to DENSE aortic analysis and early pilot application in patients at higher risk for the development of aortopathies. Modifications to the DENSE aortic postprocessing method involving the separate spatial smoothing of the inner and outer layers of the aortic wall allowed for the preservation of radial and shear strains without impacting circumferential strain calculations. The implementation of a semiautomatic segmentation approach utilizing the intrinsic kinematic information provided by DENSE MRI reduced lengthy post-processing times while generating circumferential strain distributions with good agreement to a manually generated benchmark. Finally, a new analysis pipeline for the combined use and spatial correlation of 4D phase-contrast MRI alongside DENSE MRI to quantify both regional fluid and solid mechanics in the descending aorta is explored in a limited pilot study

    Advanced Three-dimensional Echocardiography

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    Advanced Three-dimensional Echocardiography

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    Cardiovascular Magnetic Resonance Deformation Imaging By Feature Tracking For Assessment Of Left And Right Ventricular Structure And Function

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    The copyright of this thesis rests with the author and no quotation from it or information derived from it may be published without the prior written consent of the authorCardiac magnetic resonance (CMR) imaging is the gold standard imaging technique for assessment of ventricular dimensions and function. CMR also allows assessment of ventricular deformation but this requires additional imaging sequences and time consuming post processing which has limited its widespread use. A novel CMR analysis software package, ‘feature tracking’ (Tom Tec, Germany) can measure ventricular deformation directly from cine CMR images. This thesis seeks to further our understanding of the feasibility of feature tracking to assess myocardial deformation and volumetric measures. Chapter 3 validates normal ranges for deformation parameters and compares values against traditional tagging measures. The work identifies global circumferential strain measures as being the most reproducible. In chapters 4 and 5, feature tracking values for left and right ventricular strain are compared with echocardiography derived speckle tracking indices of deformation. For left ventricular (LV) parameters, circumferential and longitudinal strain are most consistent and for the right ventricular (RV) measures, assessment of free wall strain using feature tracking shows promise and with modifications in algorithms is likely to further improve in the future. Chapter 6 assesses the ability of feature tracking to measure diastolic function. The results show that radial diastolic velocities and longitudinal diastolic strain rates can predict diastolic dysfunction (as diagnosed by echocardiography) with acceptable levels of sensitivity and specificity, particularly when used in combination. 11 The use of feature tracking to provide automated measures of ventricular volumes, mass and ejection fraction is assessed in chapter 7. Feature tracking in this context shows acceptable correlation but poor absolute agreement with manual contouring and further adjustments to algorithms is necessary to improve its accuracy. This work offers insights into the use of feature tracking for the assessment of ventricular deformation parameters. It is a technique with advantages over CMR tagging methods and given the speed of post processing has the potential to become the CMR preferred assessment for strain quantification in the future.I am indebted to the Engineering and Physical Sciences Research Council, the British Heart Foundation and the National Institute for Health Research Oxford Biomedical Research Centre for funding this work

    Novel imaging techniques for assessing disease affecting the right heart

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    Right ventricular (RV) size and function are prognostic in congenital and acquired heart disease. Two-dimensional echocardiography (2DE) is the most readily available modality for RV assessment, but is limited by its complex shape. Furthermore, biventricular function is intimately related through a shared septum and pericardium. The simplest metric of left ventricular (LV) function is ejection fraction (LVEF). However, LVEF is often maintained in pulmonary hypertension (PH), for example. Therefore better indicators of LV function are required to identify patients at risk of deterioration. In this thesis, novel imaging techniques for assessing cardiac function in right heart disease are investigated. The first experiment tested the hypothesis that single-beat threedimensional echocardiography (3DE) accurately and reproducibly quantifies RV volumes. 3DE traditionally acquires sub-volumes over consecutive heartbeats, whereas novel 3DE transducers can acquire datasets in a single cardiac cycle. Single-beat 3DE was compared against CMRI in 100 subjects including patients with PH and carcinoid heart disease. Single-beat 3DE was feasible and accurate for RV volumetric quantification, but with limitations of test-retest reproducibility. The second experiment tested the hypothesis that 2D knowledge-based reconstruction (2DKBR) accurately and reproducibly quantifies RV volumes. 2DKBR involves 2DE-acquired RV coordinates localized in 3D space and connected by reference to a disease-specific RV catalogue. This was validated against CMRI in 28 PH patients, and test-retest reproducibility was assessed. 2DKBR was feasible and accurate for RV volumetric quantification in PH, and more reproducible than conventional 2DE. The final experiment tested the hypothesis that multi-directional myocardial velocities could be assessed in PH by CMRI. A tissue phase mapping sequence was utilized in 40 PH patients and 20 healthy volunteers. Over a median follow-up period of 20 months, LV early diastolic wave velocities were the only independent predictors of functional capacity and clinical worsening in a model that includes conventional metrics of biventricular function

    Evaluation of left ventricle strains by applying SPAMM cardiac MRI techniques

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    Tese de mestrado integrado em Engenharia Biomédica e Biofísica, apresentada à Universidade de Lisboa, através da Faculdade de Ciências, 2017As doenças cardiovasculares são uma das maiores causas de morte no mundo, causando aproximadamente 17.5 milhões de mortes por ano, o que corresponde a 31% de todas as mortes no mundo. Estas doenças caracterizam-se pela diminuição da contração da parede do miocárdio durante o ciclo cardíaco. Uma das doenças mais comuns é a cardiomiopatia dilatada (DCM), onde o músculo cardíaco fica mais fino e fraco, e as cavidades cardíacas ficam aumentadas. Consequentemente, a capacidade de deformação do miocárdio é diminuída, o que impossibilita o coração de bombear eficientemente o sangue para as restantes partes do corpo. Esta condição é maioritariamente genética, mas também pode ser provocada por diferentes causas como infeções virais, inflamações ou lesões. A análise da deformação da parede do miocárdio aquando do ciclo cardíaco possibilita não só a identificação das deformações normais do miocárdio aquando da sua contração, mas também das deformações anormais devido a doenças cardíacas. A técnica de ressonância magnética cardíaca (CMR) é não invasiva e tem uma elevada resolução espacial, sendo por isso indispensável no estudo destas deformações. Esta técnica permite detetar essas mesmas características da contração e distensão do músculo cardíaco, possibilitando a análise das deformações e a respetiva distinção entre os pacientes saudáveis e os pacientes com cardiomiopatia dilatada. Nesta doença, observa-se o estreitamento das paredes do miocárdio e a dilatação das cavidades cardíacas, como é o caso do ventrículo esquerdo, o que se observa pelo aumento do seu diâmetro. O resultado é um decréscimo significativo na tensão e deformação da parede do miocárdio, o que impacta negativamente na eficiência da sístole ventricular. A técnica de Modulação Espacial da Magnetização (SPAMM) tem vindo a ser proposta para a visualização do movimento e deslocamento da parede do miocárdio no seu plano de imagem, através da criação de padrões de linhas e grelhas com magnetização alterada na imagem. Estes padrões são marcadores que seguem a deformação do músculo cardíaco. Ao serem detetados e seguidos durante o ciclo cardíaco, estes marcadores contribuem para o estudo do movimento da parede do miocárdio aquando da sua contração. A amostra usada nesta tese consistiu em imagens de ressonância magnética cardíaca de 9 indivíduos, 3 dos quais são saudáveis e os outros 6 são pacientes com DCM. As imagens foram adquiridas pelo Hospital Motol em Praga (República Checa) e analisadas pelo Instituto de Informática, Robótica and Cibernética da Faculdade de Engenharia Elétrica em Praga. A tese proposta teve como objetivo o estudo da deformação radial no ventrículo esquerdo através da automatização na deteção dos marcadores presentes no mesmo, assim como no seu seguimento ao longo do ciclo cardíaco. Pela análise das deformações de voluntários saudáveis e de pacientes com cardiomiopatia dilatada, é possível comparar os seus padrões de deformação cardíaca de modo a analisar as diferenças entre os dois. Pelo estudo das deformações, sabe-se que um valor positivo de deformação corresponde a um espessamento de um objeto e um valor negativo corresponde ao seu encurtamento, relativamente ao seu tamanho inicial. Durante a contração do miocárdio, é normal observar-se um espessamento e encurtamento da parede do ventrículo esquerdo. Assim sendo, as deformações radiais tomam valores positivos devido ao espessamento da parede e as circunferenciais tomam valores negativos devido ao encurtamento da parede. Os métodos de deteção dos marcadores foram aplicados com sucesso nos sujeitos saudáveis e com cardiomiopatia dilatada, sendo que estes marcadores foram também corretamente seguidos ao longo do ciclo cardíaco, durante a sístole e a diástole. Nos sujeitos saudáveis, foi observado um intervalo de deformações radiais entre 18.63 % e 43.84 %, enquanto que em pacientes com cardiomiopatia dilatada, os valores de deformação radial variaram entre 10.73 % e 14.14 %. De notar que os valores das deformações radiais são positivos e, por isso, confirmam o espessamento da parede do ventrículo esquerdo aquando da sua contração. Assim sendo, os resultados desta dissertação vão de encontro com os resultados dos testes feitos anteriormente em voluntários saudáveis e com cardiomiopatia dilatada, visto que os intervalos de deformações são semelhantes para os dois grupos. Ao comparar-se as deformações dos dois grupos pelo teste estatístico Mann-Whitney, verificou-se uma diferença significativa (p<0.05) nos valores das deformações entre os mesmos. Assim sendo, esta tese também confirma que os pacientes com a doença cardíaca têm valores mais baixos de deformação em relação aos indivíduos saudáveis, tal como é comprovado pelo facto da doença cardiomiopatia dilatada ser caracterizada pela diminuição da deformação do miocárdio durante o ciclo cardíaco. Pela comparação dos diferentes segmentos ao longo das secções básica, média e apical do ventrículo esquerdo, foi também observado que nos pacientes com cardiomiopatia dilatada, a deformação mínima correspondeu ao segmento inferolateral da base do ventrículo e que a deformação máxima se deu no segmento anteroseptal da secção média do ventrículo. Em contrapartida, nos indivíduos saudáveis, o mínimo da deformação foi no segmento anterior e o máximo da deformação correspondeu ao segmento inferoseptal, ambos os segmentos pertencentes à secção média do ventrículo esquerdo. Estes resultados foram também observados em estudos anteriores relativos a pacientes com cardiomiopatia dilatada. Relativamente à análise das deformações circunferenciais, foi observado que, nos sujeitos saudáveis, o intervalo das deformações esteve entre -32.17 % e -24.33 %, enquanto que nos pacientes com cardiomiopatia dilatada, o intervalo foi de -15.92 % a -8.17 %. O valor negativo da deformação circunferencial é devido ao encurtamento da parede do ventrículo esquerdo, sendo que este valor se encontra em conformidade com o correto comportamento da parede do ventrículo durante a contração do miocárdio, tal como observado em estudos anteriores. Para alem destes factos, também se verificou que o máximo da deformação circunferencial foi dado na secção media do ventrículo esquerdo, enquanto que o mínimo foi na secção apical do mesmo. Ao comparar-se as deformações circunferenciais, pelo teste estatístico Mann-Whitney, durante a systole e entre os dois grupos de sujeitos, verificou-se existe uma diminuição significativa (p<0.05) do seu valor absoluto nos pacientes, relativamente aos sujeitos saudáveis. Adicionalmente, também foi estudado o efeito do género (masculino / feminino) nas deformações dos pacientes com cardiomiopatia dilatada. Os resultados do estudo mostraram que as deformações do ventrículo esquerdo são maiores no género masculino, em relação ao género feminino. Contudo, outros estudos realizados anteriormente não relataram qualquer relação entre as deformações do miocárdio e o género (masculino / feminino) dos respetivos pacientes. Com esta dissertação foi possível concluir que o estudo das deformações no ventrículo esquerdo é um parâmetro importante na avaliação da contratilidade do coração. O facto de a Ressonância magnética ser uma técnica não invasiva e da técnica de Modulação espacial da magnetização permitir criar um padrão de grelha que facilmente acompanha movimentos na parede do músculo, possibilitou a eficiente deteção das deformações na parede do ventrículo esquerdo. Uma outra conclusão importante deste estudo é o facto da doença cardiomiopatia dilatada provocar uma diminuição da capacidade de deformação do coração, visto que a doença é caracterizada pelo estreitamento da parede do miocardio e por uma dilatação das cavidades cardíacas, especialmente dos ventrículos. Este facto está na origem da diminuição das deformações radiais e circunferenciais, em relação às deformações dos pacientes saudáveis. Foi também observado que a secção do ventrículo esquerdo responsável pela maior deformação é a secção média, pois foi nesta secção que se observou um maior número de valores máximos de deformação. Por fim, nesta tese também se confirma que durante a contração do miocárdio, a deformação radial teve valores positivos e a deformação circunferencial teve valores negativos, o que comprova que houve um espessamento e encurtamento da parede do ventrículo esquerdo durante a sua contração. Assim sendo, verifica-se que ao longo desta dissertação foi possível analisar a relação da deformação do ventrículo esquerdo com a doença cardiomiopatia dilatada e consequentemente, avaliar se a deformação calculada é normal ou devido à doença cardíaca. Como tal, a partir deste estudo foi possível facilitar a deteção das deformações, bem como fazer a sua análise para contribuição do estudo das doenças cardíacas, tal como a cardiomiopatia dilatada. Como trabalho futuro, poderá estudar-se como detetar automaticamente o ventrículo esquerdo e como calcular eficientemente as suas deformações. Assim, poderá também aprofundar-se o estudo e a análise da doença cardiomiopatia dilatada e de outras doenças cardíacas.Cardiovascular diseases are one of the main causes of death in the world. These diseases modify the myocardial wall contraction during cardiac cycle. One of the most common types of these diseases is the dilated cardiomyopathy (DCM), in which the heart muscle becomes weaker and the heart cavities are enlarged. Consequently, the heart deformation capability is decreased, which prevents it from pumping blood efficiently. This condition can be genetic or due to various causes such as viral infections, inflammation or injuries. The analysis of cardiac wall deformation enables identifying normal or abnormal deformations due to heart disease. Cardiac Magnetic Resonance Imaging (MRI) is able to detect the characteristic abnormalities of DCM, which are the wall thinning and dilation of heart chambers, more specifically the increasing of ventricle diameter. The result is a significant decrease in wall stress and strain, which has a negative impact on systolic ventricular performance. The Spatial Modulation of Magnetization (SPAMM) technique has been proposed for imaging myocardial motion within the plane of the image by creating a pattern of lines or grids with altered magnetization on the image. These patterns are tags that deform according to the heart muscle deformation and can be detected and tracked for wall motion studying. The sample used in this thesis was composed by cardiac MRI scans of 9 subjects, 3 of which were healthy subjects and the other 6 were patients with DCM. The scans were acquired by Motol Hospital in Prague (Czech Republic) and analyzed in the Institute of Informatics, Robotics and Cybernetics from the Faculty of Electrical Engineering in Prague. The proposed thesis intended to assess the left ventricle (LV) radial and circumferential strains by automatically detecting LV tags and tracking those during cardiac cycle. By analyzing the heart strains from healthy subjects and patients with DCM, it is possible to compare both patterns of cardiac deformation within the cardiac cycle in order to analyze the differences between them. Positive strain values describe myocardial thickening and negative values describe its shortening, related to its original length. During myocardial contraction, the radial strain is positive due to myocardial thickening, and the circumferential strain is negative due to myocardial shortening. The tracking methods were successfully applied on heathy and DCM patients and the tags were successfully detected during systole and diastole. A comparison between the strains, by Mann-Whitney statistical test, during the cardiac cycle in both sets of subjects, identified a significant difference (p<0.05) between them. It was observed that in healthy subjects, the radial strain varied from 18.63 % to 43.84 %, while in DCM patients, the radial strain varied from 10.73 % to 14.14 %. The radial strains are positive values, as the LV thickens during myocardial contraction. The results of this thesis are in agreement with previous studies done with DCM and healthy subjects, as the ranges of deformations are similar in both sets of subjects. Moreover, this thesis also confirms that DCM patients have lower radial strain values than healthy subjects, as DCM is characterized by a decrease in heart muscle strain during the cardiac cycle. By comparing several segments in the different sections of the heart, it was also observed that in DCM patients, the minimum deformation was on the inferolateral segment of the base, while the maximum was on the anteroseptal segment of the middle section. However, in healthy subjects, the minimum deformation was on the anterior segment and the maximum was on the inferoseptal segment, both in the middle section of the left ventricle. This result was also observed in previous studies. Regarding to the circumferential strains analysis, it was observed that in healthy subjects, the average circumferential strain range was from -32.17 % to -24.33 %, while in DCM patients, it was from -15.92 % to -8.17 %. The negative value of the circumferential strain means that there was a LV wall shortening and this is in conformity with the correct behavior of LV during myocardial contraction. Moreover, in healthy subjects, the mid section of LV has the major strain, while in DCM patients, it is the apical section. A comparison between the circumferential strains during systole in both sets of subjects supports the previous studies results, in which the circumferential stains values are negative during systole. Additionally, the results of Mann-Whitney statistical test also shown significant lower absolute (p<0.05) values on DCM patients, when comparing to healthy subjects. Additionally, the effect of the gender (male/ female) on the strains was also investigated on the DCM patients and the results suggest that in women, the LV strain is lower than in men. Despite these results, the other studies did not report any conclusion related to this effect. It is possible to state that the study of the LV strain is an important parameter in the evaluation of the cardiac contractility. A non-invasive assessment of LV by MRI and the superimposed grid created by SPAMM improved the tracking of LV wall strains. Another important conclusion of this study was that DCM decreases the deformation capabilities of the heart, as it is responsible for the wall thinning and dilation of heart chambers, causing a decrease in wall radial and circumferential strains. Moreover, it was observed that the major section responsible for the myocardial deformation was the middle section of the LV. Finally, this thesis also confirmed that during myocardial contraction, the radial strain values are positive due to the myocardial thickening and the circumferential values are negative due to the myocardial shortening. A need to automatically detect the LV and also to efficiently calculate the LV strains in a short time can be developed as a future work, which will also improve the analysis of DCM disease and other cardiac diseases

    VALIDATION, OPTIMIZATION, AND IMAGE PROCESSING OF SPIRAL CINE DENSE MAGNETIC RESONANCE IMAGING FOR THE QUANTIFICATION OF LEFT AND RIGHT VENTRICULAR MECHANICS

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    Recent evidence suggests that cardiac mechanics (e.g. cardiac strains) are better measures of heart function compared to common clinical metrics like ejection fraction. However, commonly-used parameters of cardiac mechanics remain limited to just a few measurements averaged over the whole left ventricle. We hypothesized that recent advances in cardiac magnetic resonance imaging (MRI) could be extended to provide measures of cardiac mechanics throughout the left and right ventricles (LV and RV, respectively). Displacement Encoding with Stimulated Echoes (DENSE) is a cardiac MRI technique that has been validated for measuring LV mechanics at a magnetic field strength of 1.5 T but not at higher field strengths such as 3.0 T. However, it is desirable to perform DENSE at 3.0 T, which would yield a better signal to noise ratio for imaging the thin RV wall. Results in Chapter 2 support the hypothesis that DENSE has similar accuracy at 1.5 and 3.0 T. Compared to standard, clinical cardiac MRI, DENSE requires more expertise to perform and is not as widely used. If accurate mechanics could be measured from standard MRI, the need for DENSE would be reduced. However, results from Chapter 3 support the hypothesis that measured cardiac mechanics from standard MRI do not agree with, and thus cannot be used in place of, measurements from DENSE. Imaging the thin RV wall with its complex contraction pattern requires both three-dimensional (3D) measures of myocardial motion and higher resolution imaging. Results from Chapter 4 support the hypothesis that a lower displacement-encoding frequency can be used to allow for easier processing of 3D DENSE images. Results from Chapter 5 support the hypothesis that images with higher resolution (decreased blurring) can be achieved by using more spiral interleaves during the DENSE image acquisition. Finally, processing DENSE images to yield measures of cardiac mechanics in the LV is relatively simple due to the LV’s mostly cylindrical geometry. Results from Chapter 6 support the hypothesis that a local coordinate system can be adapted to the geometry of the RV to quantify mechanics in an equivalent manner as the LV. In summary, cardiac mechanics can now be quantified throughout the left and right ventricles using DENSE cardiac MRI

    Echocardiography

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    The book "Echocardiography - New Techniques" brings worldwide contributions from highly acclaimed clinical and imaging science investigators, and representatives from academic medical centers. Each chapter is designed and written to be accessible to those with a basic knowledge of echocardiography. Additionally, the chapters are meant to be stimulating and educational to the experts and investigators in the field of echocardiography. This book is aimed primarily at cardiology fellows on their basic echocardiography rotation, fellows in general internal medicine, radiology and emergency medicine, and experts in the arena of echocardiography. Over the last few decades, the rate of technological advancements has developed dramatically, resulting in new techniques and improved echocardiographic imaging. The authors of this book focused on presenting the most advanced techniques useful in today's research and in daily clinical practice. These advanced techniques are utilized in the detection of different cardiac pathologies in patients, in contributing to their clinical decision, as well as follow-up and outcome predictions. In addition to the advanced techniques covered, this book expounds upon several special pathologies with respect to the functions of echocardiography

    Spatio-Temporal Nonrigid Registration for Ultrasound Cardiac Motion Estimation

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    We propose a new spatio-temporal elastic registration algorithm for motion reconstruction from a series of images. The specific application is to estimate displacement fields from two-dimensional ultrasound sequences of the heart. The basic idea is to find a spatio-temporal deformation field that effectively compensates for the motion by minimizing a difference with respect to a reference frame. The key feature of our method is the use of a semi-local spatio-temporal parametric model for the deformation using splines, and the reformulation of the registration task as a global optimization problem. The scale of the spline model controls the smoothness of the displacement field. Our algorithm uses a multiresolution optimization strategy to obtain a higher speed and robustness. We evaluated the accuracy of our algorithm using a synthetic sequence generated with an ultrasound simulation package, together with a realistic cardiac motion model. We compared our new global multiframe approach with a previous method based on pairwise registration of consecutive frames to demonstrate the benefits of introducing temporal consistency. Finally, we applied the algorithm to the regional analysis of the left ventricle. Displacement and strain parameters were evaluated showing significant differences between the normal and pathological segments, thereby illustrating the clinical applicability of our method
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