Application of Time-Delay Estimation to Mixed Reality Multisensor Tracking

Spatial tracking is one of the most challenging and important parts of Mixed Reality environments. Many applications, especially in the domain of Augmented Reality, rely on the fusion of several tracking systems in order to optimize the overall performance. While the topic of spatial tracking sensor fusion has already seen considerable interest, most results only deal with the integration of carefully arranged setups as opposed to dynamic sensor fusion setups. A crucial prerequisite for correct sensor fusion is the temporal alignment of the tracking data from several sensors. Tracking sensors are typically encountered in Mixed Reality applications, are generally not synchronized. We present a general method to calibrate the temporal offset between different sensors by the Time Delay Estimation method which can be used to perform on-line temporal calibration. By applying Time Delay Estimation on the tracking data, we show that the temporal offset between generic Mixed Reality spatial tracking sensors can be calibrated. To show the correctness and the feasibility of this approach, we have examined different variations of our method and evaluated various combinations of tracking sensors. We furthermore integrated this time synchronization method into our UBITRACK Mixed Reality tracking framework to provide facilities for calibration and real-time data alignment.

Comparison of 2D and 3D GUI Widgets for Stereoscopic Multitouch Setups

Recent developments in the area of interactive entertainment have suggested to combine stereoscopic visualization with multi-touch displays, which has the potential to open up new vistas for natural interaction with interactive three-dimensional (3D) applications. However, the question arises how the user interfaces for system control in such 3D setups should be designed in order to provide an effective user experience. In this article we introduce 3D GUI widgets for interaction with stereoscopic touch displays. The design of the widgets was inspired to skeuomorphism and affordances in such a way that the user should be able to operate the virtual objects in the same way as their real-world equivalents. We evaluate the developed widgets and compared them with their 2D counterparts in the scope of an example application in order to analyze the usability of and user behavior with the widgets. The results reveal differences in user behavior with and without stereoscopic display during touch interaction, and show that the developed 2D as well as 3D GUI widgets can be used effectively in different applications.

Erfahrbares Programmieren durch den zielgerichten Einsatz von Flugdrohnen im Informatikunterricht

Informatik- und insbesondere Programmierunterricht sind heute ein wichtiger Bestandteil der schulischen Ausbildung. Vereinfachte Entwicklungsumgebungen, die auf die Abstraktion typischer Programmierkonzepte in Form von grafischen Bausteinen setzen, unterstützen diesen Trend. Zusätzliche Attraktivität wird durch die Verwendung exotischer Laufzeitumgebungen (z. B. Roboter) geschaffen. Die in diesem Paper vorgestellte Plattform “ScratchDrone” führt ergänzend zu diesen Angeboten eine moderne Flugdrohne als innovative Laufzeitumgebung für Scratch-Programme ein. Die Programmierung kann dabei dank modularer Systemarchitektur auf verschiedenen Abstraktionsebenen erfolgen, abhängig vom Lernfortschritt der Schüler. Kombiniert mit einem mehrstufigen didaktischen Modell, der Herausforderung der Bewegung im 3D-Raum sowie der natürlichen menschlichen Faszination für das Fliegen wird so eine hohe Lernmotivation bei jungen Programmieranfängern erreicht.

On the comparison of VR-responses, as performance measures in prospective memory, with auditory P300 responses in MCI detection

Patients with amnestic mild cognitive impairment are at high risk for developing Alzheimer's disease. Besides episodic memory dysfunction they show deficits in accessing contextual knowledge that further specifies a general spatial navigation task or an executive function (EF) virtual action planning. There has been only one previous work with virtual reality and the use of a virtual action planning supermarket for the diagnosis of mild cognitive impairment. The authors of that study examined the feasibility and the validity of the virtual action planning supermarket (VAP-S) for the diagnosis of patients with mild cognitive impairment (MCI) and found that the VAP-S is a viable tool to assess EF deficits. In our study we employed the in-house platform of virtual action planning museum (VAP-M) and a sample of 25 MCI and 25 controls, in order to investigate deficits in spatial navigation, prospective memory and executive function. In addition, we used the morphology of late components in event-related potential (ERP) responses, as a marker for cognitive dysfunction. The related measurements were fed to a common classification scheme facilitating the direct comparison of both approaches. Our results indicate that both the VAP-M and ERP averages were able to differentiate between healthy elders and patients with amnestic mild cognitive impairment and agree with the findings of the virtual action planning supermarket (VAP-S). The sensitivity (specificity) was 100% (98%) for the VAP-M data and 87%(90%) for the ERP responses. Considering that ERPs have proven to advance the early detection and diagnosis of "presymptomatic AD", the suggested VAP-M platform appears as an appealing alternative.

Mechanical constraints imposed by 3D cellular geometry and arrangement modulate growth patterns in the Arabidopsis embryo

Morphogenesis occurs in 3D space over time and is guided by coordinated gene expression programs. Here we use postembryonic development in Arabidopsis plants to investigate the genetic control of growth. We demonstrate that gene expression driving the production of the growth-stimulating hormone gibberellic acid and downstream growth factors is first induced within the radicle tip of the embryo. The center of cell expansion is, however, spatially displaced from the center of gene expression. Because the rapidly growing cells have very different geometry from that of those at the tip, we hypothesized that mechanical factors may contribute to this growth displacement. To this end we developed 3D finite-element method models of growing custom-designed digital embryos at cellular resolution. We used this framework to conceptualize how cell size, shape, and topology influence tissue growth and to explore the interplay of geometrical and genetic inputs into growth distribution. Our simulations showed that mechanical constraints are sufficient to explain the disconnect between the experimentally observed spatiotemporal patterns of gene expression and early postembryonic growth. The center of cell expansion is the position where genetic and mechanical facilitators of growth converge. We have thus uncovered a mechanism whereby 3D cellular geometry helps direct where genetically specified growth takes place.

Learning curves of basic laparoscopic psychomotor skills in SINERGIA VR simulator

Purpose: Surgical simulators are currently essential within any laparoscopic training program because they provide a low-stakes, reproducible and reliable environment to acquire basic skills. The purpose of this study is to determine the training learning curve based on different metrics corresponding to five tasks included in SINERGIA laparoscopic virtual reality simulator. Methods: Thirty medical students without surgical experience participated in the study. Five tasks of SINERGIA were included: Coordination, Navigation, Navigation and touch, Accurate grasping and Coordinated pulling. Each participant was trained in SINERGIA. This training consisted of eight sessions (R1–R8) of the five mentioned tasks and was carried out in two consecutive days with four sessions per day. A statistical analysis was made, and the results of R1, R4 and R8 were pair-wise compared with Wilcoxon signed-rank test. Significance is considered at P value <0.005. Results: In total, 84.38% of the metrics provided by SINERGIA and included in this study show significant differences when comparing R1 and R8. Metrics are mostly improved in the first session of training (75.00% when R1 and R4 are compared vs. 37.50% when R4 and R8 are compared). In tasks Coordination and Navigation and touch, all metrics are improved. On the other hand, Navigation just improves 60% of the analyzed metrics. Most learning curves show an improvement with better results in the fulfillment of the different tasks. Conclusions: Learning curves of metrics that assess the basic psychomotor laparoscopic skills acquired in SINERGIA virtual reality simulator show a faster learning rate during the first part of the training. Nevertheless, eight repetitions of the tasks are not enough to acquire all psychomotor skills that can be trained in SINERGIA. Therefore, and based on these results together with previous works, SINERGIA could be used as training tool with a properly designed training program.

Ensayos de seguridad eléctrica orientados a la vigilancia del mercado

El presente estudio recopila los diferentes bancos de pruebas de EMC, Radio, SAR y seguridad eléctrica que se utiliza en la vigilancia del mercado. Describe las pruebas realizadas por el Estado español para llevar a cabo el seguimiento y control de los equipos vendidos. En primer lugar se presenta una descripción cualitativa de los ambientes clasificados por requisitos que explica en qué consisten las pruebas que se hacen, cómo se configura el entorno de medida y cuáles son los equipos que se deben utilizar. Está ilustrado con fotografías de los bastidores, antenas, amplificadores, generadores y otros equipos que la SETSI tiene en su laboratorio en El Casar (Guadalajara). La vigilancia de los equipos se realiza periódicamente en los estados miembros de la Unión Europea. Los funcionarios responsables también se reúnen periódicamente a nivel europeo para sacar conclusiones y hacer proyecciones futuras. El equipo adquirido en centros comerciales de venta al público, después de poco más de un mes, en el que se pasan las pruebas, vuelve a la cadena de comercialización, por lo que los dispositivos no se puedan dañar. Las pruebas realizadas en el laboratorio no pueden ser perjudiciales para los dispositivos por lo que es necesario tomar precauciones en la ejecución de las pruebas. El centro del PFC es el área de la Seguridad Eléctrica. El capítulo 4 es una reproducción de la Norma internacional IEC 60950-1:2007/A11 sobre seguridad en equipos de tecnología de la información adaptada a los requisitos de la vigilancia de mercado. Las autoridades competentes se basan en este estándar para evaluar y garantizar la seguridad del usuario en los equipos de consumo. Diseñados los procedimientos de ensayo y montado un banco de acuerdo a estos ensayos, se ha preparado un manual de operador, capítulo 5, en el que se recogen cada una de las pruebas y controles visuales que deben realizarse para probar que el equipo es conforme. Para finalizar, en el capítulo 6, se ejecutan ensayos de ejemplo sobre tres dispositivos de prueba y se elaboran las correspondientes hojas de ensayo. El propósito es proporcionar al operador un manual completo del banco de seguridad eléctrica, es por ello que en el manual de operador se han repetido muchos fragmentos de la norma para facilitar al operador el objetivo concreto de las pruebas y el acceso fácil a la información. This dissertation presents the different test benches of EMC, Radio, SAR and Electrical Safety that are used in market surveillance. Describes the tests performed by the Spanish State to carry out the monitoring and control of equipment sold. First a qualitative description of the environments classified by requisites that explains in that consist the tests that are make it, how it configures the measure environment and which are the equipment that it should use. It is illustrated with photographs of the racks, antennas, amplifiers, generators and other equipment that the S.E.T.S.I has in its laboratory on El Casar (Guadalajara). The surveillance of equipment is performed periodically in the member states of the European Union. Responsible officials also periodically meet at European level to draw conclusions and make future projections. The equipment purchased in malls public sale, after little more than a month, in which the tests are passed, returned to the trade chain, which is why the devices cannot be damaged. The tests done in the laboratory may not be harmful for devices are thus necessary to take precautions in the execution of the tests. The center of this dissertation is the area of Electrical Safety. Chapter 4 is a reproduction of the International Standard IEC 60950-1:2007/A11 safety in teams of information technology, adapted to the requirements of market surveillance. The competent authorities are based on this standard to assess and ensure the user's safety in the consumption equipment. Designed test procedures and mounted on a bench according to these tests, it has prepared a manual operator, in Chapter 5, with each of the tests and visual inspections in order to prove that the equipment complies. Finally, in Chapter 6, such tests run on three devices are developed test and test some leaves. The purpose of this book is to provide an operator manual of the bench of electrical safety, which is why the operator manual have been repeated fragments of the standard, in chapter 5, to facilitate the operator to test execution and access to information.

MedVir: 3D visual interface applied to gene profile analysis

The use of data mining techniques for the gene profile discovery of diseases, such as cancer, is becoming usual in many researches. These techniques do not usually analyze the relationships between genes in depth, depending on the different variety of manifestations of the disease (related to patients). This kind of analysis takes a considerable amount of time and is not always the focus of the research. However, it is crucial in order to generate personalized treatments to fight the disease. Thus, this research focuses on finding a mechanism for gene profile analysis to be used by the medical and biologist experts. Results: In this research, the MedVir framework is proposed. It is an intuitive mechanism based on the visualization of medical data such as gene profiles, patients, clinical data, etc. MedVir, which is based on an Evolutionary Optimization technique, is a Dimensionality Reduction (DR) approach that presents the data in a three dimensional space. Furthermore, thanks to Virtual Reality technology, MedVir allows the expert to interact with the data in order to tailor it to the experience and knowledge of the expert.

Evaluación y tratamiento basados en realidad virtual de la negligencia espacial unilateral: análisis del estado de la cuestión y demostración de enfoques alternativos

En el siguiente trabajo se presenta en primer lugar de forma detallada la enfermedad denominada negligencia espacial unilateral (síntomas, tipos, causas, evaluación y tratamientos) para proporcionar una mejor comprensión del principal objetivo del estudio, que es el análisis de las soluciones virtuales, existentes en la literatura, aplicadas al tratamiento de esta enfermedad, incluyéndose una amplia descripción de cada estudio encontrado sobre el tema. A continuación, se han realizado tres implementaciones en realidad virtual de tres técnicas clásicas de rehabilitación llevadas a cabo en un entorno virtual, que son la estimulación optocinética, eye patching, y adaptación prismática y se ha desarrollado una aplicación 3D para evaluar el grado y tipo de negligencia sufrida por los pacientes. Que de forma conjunta, constituyen un primer paso hacia un enfoque alternativo para el tratamiento de la enfermedad, más personalizado y eficaz. Por último, en las conclusiones, se analizan las principales ventajas y desventajas encontradas en el uso de estas tecnologías aplicadas a la enfermedad y los trabajos futuros que pueden derivar de este trabajo.---ABSTRACT---The following work starts by presenting in detail a disease called unilateral spatial neglect (symptoms, types, causes, assessment and treatment) to provide the background for this study's main objective, which is the analysis of the virtual solutions existing in the literature for the treatment of this disease. The document includes an extensive description of the previous work found in this topic. Afterwards, three implementations of three classical rehabilitation techniques were performed in virtual reality: optokinetic stimulation, eye patching and prism adaptation, as a proof-of-concept, and a 3D application was implemented to assess the degree and type of negligence suffered by patients. Altogether, they constitute a first step towards an alternative approach for the treatment of disease, more personalized and effective. Finally, the conclusions analyze the main advantages and disadvantages encountered in the use of these technologies when applied to this disease and suggest future work.

Vision-Based Tracking, Odometry and Control for UAV Autonomy

El principal objetivo de este trabajo es proporcionar una solución en tiempo real basada en visión estéreo o monocular precisa y robusta para que un vehículo aéreo no tripulado (UAV) sea autónomo en varios tipos de aplicaciones UAV, especialmente en entornos abarrotados sin señal GPS. Este trabajo principalmente consiste en tres temas de investigación de UAV basados en técnicas de visión por computador: (I) visual tracking, proporciona soluciones efectivas para localizar visualmente objetos de interés estáticos o en movimiento durante el tiempo que dura el vuelo del UAV mediante una aproximación adaptativa online y una estrategia de múltiple resolución, de este modo superamos los problemas generados por las diferentes situaciones desafiantes, tales como cambios significativos de aspecto, iluminación del entorno variante, fondo del tracking embarullado, oclusión parcial o total de objetos, variaciones rápidas de posición y vibraciones mecánicas a bordo. La solución ha sido utilizada en aterrizajes autónomos, inspección de plataformas mar adentro o tracking de aviones en pleno vuelo para su detección y evasión; (II) odometría visual: proporciona una solución eficiente al UAV para estimar la posición con 6 grados de libertad (6D) usando únicamente la entrada de una cámara estéreo a bordo del UAV. Un método Semi-Global Blocking Matching (SGBM) eficiente basado en una estrategia grueso-a-fino ha sido implementada para una rápida y profunda estimación del plano. Además, la solución toma provecho eficazmente de la información 2D y 3D para estimar la posición 6D, resolviendo de esta manera la limitación de un punto de referencia fijo en la cámara estéreo. Una robusta aproximación volumétrica de mapping basada en el framework Octomap ha sido utilizada para reconstruir entornos cerrados y al aire libre bastante abarrotados en 3D con memoria y errores correlacionados espacialmente o temporalmente; (III) visual control, ofrece soluciones de control prácticas para la navegación de un UAV usando Fuzzy Logic Controller (FLC) con la estimación visual. Y el framework de Cross-Entropy Optimization (CEO) ha sido usado para optimizar el factor de escala y la función de pertenencia en FLC. Todas las soluciones basadas en visión en este trabajo han sido probadas en test reales. Y los conjuntos de datos de imágenes reales grabados en estos test o disponibles para la comunidad pública han sido utilizados para evaluar el rendimiento de estas soluciones basadas en visión con ground truth. Además, las soluciones de visión presentadas han sido comparadas con algoritmos de visión del estado del arte. Los test reales y los resultados de evaluación muestran que las soluciones basadas en visión proporcionadas han obtenido rendimientos en tiempo real precisos y robustos, o han alcanzado un mejor rendimiento que aquellos algoritmos del estado del arte. La estimación basada en visión ha ganado un rol muy importante en controlar un UAV típico para alcanzar autonomía en aplicaciones UAV. ABSTRACT The main objective of this dissertation is providing real-time accurate robust monocular or stereo vision-based solution for Unmanned Aerial Vehicle (UAV) to achieve the autonomy in various types of UAV applications, especially in GPS-denied dynamic cluttered environments. This dissertation mainly consists of three UAV research topics based on computer vision technique: (I) visual tracking, it supplys effective solutions to visually locate interesting static or moving object over time during UAV flight with on-line adaptivity approach and multiple-resolution strategy, thereby overcoming the problems generated by the different challenging situations, such as significant appearance change, variant surrounding illumination, cluttered tracking background, partial or full object occlusion, rapid pose variation and onboard mechanical vibration. The solutions have been utilized in autonomous landing, offshore floating platform inspection and midair aircraft tracking for sense-and-avoid; (II) visual odometry: it provides the efficient solution for UAV to estimate the 6 Degree-of-freedom (6D) pose using only the input of stereo camera onboard UAV. An efficient Semi-Global Blocking Matching (SGBM) method based on a coarse-to-fine strategy has been implemented for fast depth map estimation. In addition, the solution effectively takes advantage of both 2D and 3D information to estimate the 6D pose, thereby solving the limitation of a fixed small baseline in the stereo camera. A robust volumetric occupancy mapping approach based on the Octomap framework has been utilized to reconstruct indoor and outdoor large-scale cluttered environments in 3D with less temporally or spatially correlated measurement errors and memory; (III) visual control, it offers practical control solutions to navigate UAV using Fuzzy Logic Controller (FLC) with the visual estimation. And the Cross-Entropy Optimization (CEO) framework has been used to optimize the scaling factor and the membership function in FLC. All the vision-based solutions in this dissertation have been tested in real tests. And the real image datasets recorded from these tests or available from public community have been utilized to evaluate the performance of these vision-based solutions with ground truth. Additionally, the presented vision solutions have compared with the state-of-art visual algorithms. Real tests and evaluation results show that the provided vision-based solutions have obtained real-time accurate robust performances, or gained better performance than those state-of-art visual algorithms. The vision-based estimation has played a critically important role for controlling a typical UAV to achieve autonomy in the UAV application.

Plataforma terapeútica basada en Kinect para niños con parálisis cerebral infantil

El sistema SONRIE (Sistema de terapia, basadO en KiNect, paRa nIños con parálisis cErebral), realizado como Proyecto Fin de Grado por Dña. Estefanía Sampedro Sánchez, se desarrolló con el fin de permitir el proceso de rehabilitación de los músculos faciales en niños con Parálisis Cerebral Infantil (PCI). SONRIE se compone de una plataforma de juegos cuyo objetivo es lograr una mejora terapéutica en la musculatura orofacial de niños diagnosticados de PCI con edades comprendidas entre los 4 y los 12 años. El escenario de aplicación del sistema SONRIE son las escuelas de integración que tienen escolarizados alumnos diagnosticados con este trastorno. La posibilidad de rehabilitación de los músculos faciales mediante tratamientos que se apoyan en el uso de sistemas telemáticos, junto con el empleo de tecnologías actuales (Realidad Virtual, Realidad Aumentada y Serious Games) supone una gran innovación en el entorno de la neuro-rehabilitación, entendida como el proceso de terapia que permite optimizar la participación de una persona en la sociedad, alcanzando un grado de bienestar óptimo. El trabajo realizado en este Proyecto Fin de Grado pretende escalar el sistema SONRIE, mediante el análisis, diseño y desarrollo de un Framework encargado de facilitar, ampliar y validar el uso adecuado del sistema SONRIE en entornos escolares a través de la integración de nuevas tecnologías. La plataforma desarrollada en este proyecto, permite dotar de dinamismo y persistencia a la plataforma de juegos, ofreciendo a los usuarios de SONRIE (principalmente fisioterapeutas y rehabilitadores que trabajan en entornos escolares) un sistema de terapia para niños con PCI accesible vía web. En este Proyecto Fin de Grado se describe el conjunto de componentes software desarrollados con el fin de proporcionar un entorno web que escale el sistema SONRIE, convirtiéndolo en un sistema de terapia efectivo, completo y usable. ABSTRACT. The SONRIE system (Sistema de terapia, basadO en KiNect, paRa nIños con parálisis cErebral), performed as a final project by Miss Estefanía Sampedro, was developed in order to allow the rehabilitation process of the facial muscles of children with Cerebral Palsy (CP). SONRIE consists of a gaming platform which aims to achieve a therapeutic improvement in the orofacial musculature on children diagnosed with CP aged between 4 and 12 years. The application scenario of the SONRIE system are the integration schools that have students diagnosed with this disorder. The possibility of rehabilitation of facial muscles through treatments based on the use of telematics systems, together with the use of new technologies (Virtual Reality, Augmented Reality and Serious Games) is a great innovation in the neuro-rehabilitation environment, understood as the therapy process that optimizes the participation of a person in the society, reaching an optimum level of welfare. The work done in this final project aims to scale the SONRIE system, through the analysis, design and development of a framework in charge of facilitating, extending and validating the proper use of the SONRIE system in school environments, through the integration of new technologies. The platform developed in this project, can provide dynamism and persistence to the gaming platform, offering to the SONRIE users (mainly physiotherapists and rehabilitators who work in school settings) a therapy system for children with CP accessible via web. In this final project are described the software components developed in order to provide a web environment that scales the SONRIE system, making it an effective, complete and usable therapy system.

REFLEXOS INDIVIDUAIS DO USO PESSOAL E EXCESSIVO DE COMUNICADORES INSTANTÂNEOS NO AMBIENTE DE TRABALHO

A Internet está inserida no cotidiano do indivíduo, e torna-se cada vez mais acessível por meio de diferentes tipos de dispositivos. Com isto, diversos estudos foram realizados com o intuito de avaliar os reflexos do seu uso excessivo na vida pessoal, acadêmica e profissional. Esta dissertação buscou identificar se a perda de concentração e o isolamento social são alguns dos reflexos individuais que o uso pessoal e excessivo de aplicativos de comunicação instantânea podem resultar no ambiente de trabalho. Entre as variáveis selecionadas para avaliar os aspectos do uso excessivo de comunicadores instantâneos tem-se a distração digital, o controle reduzido de impulso, o conforto social e a solidão. Através de uma abordagem de investigação quantitativa, utilizaram-se escalas aplicadas a uma amostra de 283 pessoas. Os dados foram analisados por meio de técnicas estatísticas multivariadas como a Análise Fatorial Exploratória e para auferir a relação entre as variáveis, a Regressão Linear Múltipla. Os resultados deste estudo confirmam que o uso excessivo de comunicadores instantâneos está positivamente relacionado com a perda de concentração, e a variável distração digital exerce uma influência maior do que o controle reduzido de impulso. De acordo com os resultados, não se podem afirmar que a solidão e o conforto social exercem relações com aumento do isolamento social, devido à ausência do relacionamento entre os construtos.

Segment-specific pattern of sympathetic preganglionic projections in the chicken embryo spinal cord is altered by retinoids

Sympathetic preganglionic neurons exhibit segment-specific projections. Preganglionic neurons located in rostral spinal segments project rostrally within the sympathetic chain, those located in caudal spinal segments project caudally, and those in midthoracic segments project either rostrally or caudally in segmentally graded proportions. Moreover, rostrally and caudally projecting preganglionic neurons are skewed toward the rostral and caudal regions, respectively, of each midthoracic segment. The mechanisms that establish these segment-specific projections are unknown. Here we show that experimental manipulation of retinoid signaling in the chicken embryo alters the segment-specific pattern of sympathetic preganglionic projections and that this effect is mediated by the somitic mesoderm. Application of exogenous retinoic acid to a single rostral thoracic somite decreases the number of rostrally projecting preganglionic neurons at that level. Conversely, disrupting endogenous synthesis of retinoic acid in a single caudal thoracic somite increases the number of rostrally projecting preganglionic neurons at that level. The number of caudally projecting neurons does not change in either case, indicating that the effect is specific for rostrally projecting preganglionic neurons. These results indicate that the sizes of the rostrally and caudally projecting populations may be independently regulated by different factors. Opposing gradients of such factors along the longitudinal axis of the thoracic region of the embryo could be sufficient, in combination, to determine the segment-specific identity of preganglionic projections.

Geometric distortion in clinical MRI systems - Part II: correction using a 3D phantom

In this paper, we present the correction of the geometric distortion measured in the clinical magnetic resonance imaging (MRI) systems reported in the preceding paper (Part 1) using a 3D method based on the phantom-mapped geometric distortion data. This method allows the correction to be made on phantom images acquired without or with the vendor correction applied. With the vendor's 2D correction applied, the method corrects for both the residual geometric distortion still present in the plane in which the correction method was applied (the axial plane) and the uncorrected geometric distortion along the axis non-nal to the plane. The evaluation of the effectiveness of the correction using this new method was carried out through analyzing the residual geometric distortion in the corrected phantom images. The results show that the new method can restore the distorted images in 3D nearly to perfection. For all the MRI systems investigated, the mean absolute deviations in the positions of the control points (along x-, y- and z-axes) measured on the corrected phantom images were all less than 0.2 mm. The maximum absolute deviations were all below similar to0.8 mm. As expected, the correction of the phantom images acquired with the vendor's correction applied in the axial plane performed equally well. Both the geometric distortion still present in the axial plane after applying the vendor's correction and the uncorrected distortion along the z-axis have all been restored. (C) 2004 Elsevier Inc. All rights reserved.