Cardiac motion estimation by joint alignment of tagged MRI sequences

Image registration has been proposed as an automatic method for recovering cardiac displacement fields from Tagged Magnetic Resonance Imaging (tMRI) sequences. Initially performed as a set of pairwise registrations, these techniques have evolved to the use of 3D+t deformation models, requiring metrics of joint image alignment (JA). However, only linear combinations of cost functions defined with respect to the first frame have been used. In this paper, we have applied k-Nearest Neighbors Graphs (kNNG) estimators of the -entropy (H ) to measure the joint similarity between frames, and to combine the information provided by different cardiac views in an unified metric. Experiments performed on six subjects showed a significantly higher accuracy (p < 0.05) with respect to a standard pairwise alignment (PA) approach in terms of mean positional error and variance with respect to manually placed landmarks. The developed method was used to study strains in patients with myocardial infarction, showing a consistency between strain, infarction location, and coronary occlusion. This paper also presentsan interesting clinical application of graph-based metric estimators, showing their value for solving practical problems found in medical imaging.

Restitución 3D de la topografía de la antigua ciudad de Tarraco en un entorno SIG: propuestas metodológicas y primeros resultados

Durante los últimos años el Institut Català d’Arquelogia Clàssica, el Museu d’Història de Tarragona, contando con la colaboración de la Generalitat de Catalunya, han desarrallado el proyecto Planimetría Arqueológica de Tárraco, destinado a la elaboración de una planta arqueológica global en la cual se recogieran intervenciones y noticias referentes a los hallazgos arqueológicos existentes. Este trabajo fue publicado utilizando como plataforma de trabajo un SIG construido para tal fin (Macias et al. 2007). Sin embargo, un problema de difícil solución arqueológica venía dado por las transformaciones urbanísticas de la ciudad, sufridas en su mayor parte a lo largo de los siglos XIX y XX. Éstas habían provocado la pérdida irremediable de gran parte de la elevación que acogiera la ciudad romana, cambiando substancialmente su aspecto original. Ante esta situación y como proyecto paralelo a la realización de la Planimetría Arqueológica de Tarragona se plantearon formas de cubrir este vacío. Se presenta en esta comunicación una propuesta metodológica para la reconstrucción de los grandes «vacíos topográficos » originados por la evolución urbanística de Tarragona mediante la obtención e integración en un SIG de diversos tipos de información documental. En estas zonas rebajadas no resulta posible la obtención de información estratigráfica y arqueológica, por lo que es imprescindible la definición de vías metodológicas alternativas basadas en la extrapolación de datos extraídos de la cartografía histórica, panorámicas del XVI o fotografías tomadas en los siglos XIX y XX. Esta técnica permite aplicar los resultados obtenidos en los nuevos análisis interpretativos, complementando así la interpretación arqueológica de la topografía urbana de la ciudad romana. A partir de esta información, y aplicando funciones y técnicas de interpolación propias de un GIS, se propone aquí un modelo de relieve de la ciudad de Tarraco.

The Application of 3D Reconstruction Techniques in the Analysis of Ancient Tarraco’s Urban Topography

The widespread implementation of GIS-based 3D topographical models has been a great aid in the development and testing of archaeological hypotheses. In this paper, a topographical reconstruction of the ancient city of Tarraco, the Roman capital of the Tarraconensis province, is presented. This model is based on topographical data obtained through archaeological excavations, old photographic documentation, georeferenced archive maps depicting the pre-modern city topography, modern detailed topographical maps and differential GPS measurements. The addition of the Roman urban architectural features to the model offers the possibility to test hypotheses concerning the ideological background manifested in the city shape. This is accomplished mainly through the use of 3D views from the main city accesses. These techniques ultimately demonstrate the ‘theatre-shaped’ layout of the city (to quote Vitrubius) as well as its southwest oriented architecture, whose monumental character was conceived to present a striking aspect to visitors, particularly those arriving from the sea.

Dynamic model of the left ventricle for use in simulation of myocardial perfusion SPECT and gated SPECT

Simulation is a useful tool in cardiac SPECT to assess quantification algorithms. However, simple equation-based models are limited in their ability to simulate realistic heart motion and perfusion. We present a numerical dynamic model of the left ventricle, which allows us to simulate normal and anomalous cardiac cycles, as well as perfusion defects. Bicubic splines were fitted to a number of control points to represent endocardial and epicardial surfaces of the left ventricle. A transformation from each point on the surface to a template of activity was made to represent the myocardial perfusion. Geometry-based and patient-based simulations were performed to illustrate this model. Geometry-based simulations modeled ~1! a normal patient, ~2! a well-perfused patient with abnormal regional function, ~3! an ischaemic patient with abnormal regional function, and ~4! a patient study including tracer kinetics. Patient-based simulation consisted of a left ventricle including a realistic shape and motion obtained from a magnetic resonance study. We conclude that this model has the potential to study the influence of several physical parameters and the left ventricle contraction in myocardial perfusion SPECT and gated-SPECT studies.