Capturing the overarm throw in darts employing wireless inertial measurement

This work employs a custom built body area network of wireless inertial measurement technology to conduct a biomechanical analysis of precision targeted throwing in competitive and recreational darts. The solution is shown to be capable of measuring key biomechanical factors including speed, acceleration and timing. These parameters are subsequently correlated with scoring performance to determine the affect each variable has on outcome. For validation purposes an optical 3D motion capture system provides a complete kinematic model of the subject and enables concurrent benchmarking of the 'gold standard' optical inertial measurement system with the more affordable and proactive wireless inertial measurement solution developed as part of this work.

A Robust Co-Localisation Measurement Utilising Z-Stack Image Intensity Similarities for Biological Studies

Background: Co-localisation is a widely used measurement in immunohistochemical analysis to determine if fluorescently labelled biological entities, such as cells, proteins or molecules share a same location. However the measurement of co-localisation is challenging due to the complex nature of such fluorescent images, especially when multiple focal planes are captured. The current state-of-art co-localisation measurements of 3-dimensional (3D) image stacks are biased by noise and cross-overs from non-consecutive planes.

Method: In this study, we have developed Co-localisation Intensity Coefficients (CICs) and Co-localisation Binary Coefficients (CBCs), which uses rich z-stack data from neighbouring focal planes to identify similarities between image intensities of two and potentially more fluorescently-labelled biological entities. This was developed using z-stack images from murine organotypic slice cultures from central nervous system tissue, and two sets of pseudo-data. A large amount of non-specific cross-over situations are excluded using this method. This proposed method is also proven to be robust in recognising co-localisations even when images are polluted with a range of noises.

Results: The proposed CBCs and CICs produce robust co-localisation measurements which are easy to interpret, resilient to noise and capable of removing a large amount of false positivity, such as non-specific cross-overs. Performance of this method of measurement is significantly more accurate than existing measurements, as determined statistically using pseudo datasets of known values. This method provides an important and reliable tool for fluorescent 3D neurobiological studies, and will benefit other biological studies which measure fluorescence co-localisation in 3D.

The establishment of a 3D breast photography service in medical illustration

This paper aims to describe the development of a 3D breast photography service managed by the Medical Illustration Department, in the Belfast Health and Social Care Trust, Northern Ireland. Dedicated 3D breast photography equipment was installed in Medical Illustration for 18 months. Women were referred for a variety of indications including pre- and post-surgical assessment. A dedicated 3D breast photography protocol was developed locally and this requires further refinement to allow reproducibility in other centres. There are image/data artefacts associated with this technology and special techniques are required to reduce these. Specialist software is necessary for clinicians and scientists to use 3D breast photography data in surgical planning and measurement of surgical outcome.

Smart object for 3D interaction

This paper reports on the creation of an interface for 3D virtual environments, computer-aided design applications or computer games. Standard computer interfaces are bound to 2D surfaces, e.g., computer mouses, keyboards, touch pads or touch screens. The Smart Object is intended to provide the user with a 3D interface by using sensors that register movement (inertial measurement unit), touch (touch screen) and voice (microphone). The design and development process as well as the tests and results are presented in this paper. The Smart Object was developed by a team of four third-year engineering students from diverse scientific backgrounds and nationalities during one semester.

Analysis of the esophagogastric junction using the 3D high resolution manometry

Contexte & Objectifs : La manométrie perfusée conventionnelle et la manométrie haute résolution (HRM) ont permis le développement d’une variété de paramètres pour mieux comprendre la motilité de l'œsophage et quantifier les caractéristiques de la jonction œsophago-gastrique (JOG). Cependant, l'anatomie de la JOG est complexe et les enregistrements de manométrie détectent à la fois la pression des structures intrinsèques et des structures extrinsèques à l'œsophage. Ces différents composants ont des rôles distincts au niveau de la JOG. Les pressions dominantes ainsi détectées au niveau de la JOG sont attribuables au sphincter œsophagien inférieur (SOI) et aux piliers du diaphragme (CD), mais aucune des technologies manométriques actuelles n’est capable de distinguer ces différents composants de la JOG. Lorsqu’on analyse les caractéristiques de la JOG au repos, celle ci se comporte avant tout comme une barrière antireflux. Les paramètres manométriques les plus couramment utilisés dans ce but sont la longueur de la JOG et le point d’inversion respiratoire (RIP), défini comme le lieu où le pic de la courbe de pression inspiratoire change de positif (dans l’abdomen) à négatif (dans le thorax), lors de la classique manœuvre de « pull-through ». Cependant, l'importance de ces mesures reste marginale comme en témoigne une récente prise de position de l’American Gastroenterology Association Institute (AGAI) (1) qui concluait que « le rôle actuel de la manométrie dans le reflux gastro-œsophagien (RGO) est d'exclure les troubles moteurs comme cause des symptômes présentés par la patient ». Lors de la déglutition, la mesure objective de la relaxation de la JOG est la pression de relaxation intégrée (IRP), qui permet de faire la distinction entre une relaxation normale et une relaxation anormale de la JOG. Toutefois, puisque la HRM utilise des pressions moyennes à chaque niveau de capteurs, certaines études de manométrie laissent suggérer qu’il existe une zone de haute pression persistante au niveau de la JOG même si un transit est mis en évidence en vidéofluoroscopie. Récemment, la manométrie haute résolution « 3D » (3D-HRM) a été développée (Given Imaging, Duluth, GA) avec le potentiel de simplifier l'évaluation de la morphologie et de la physiologie de la JOG. Le segment « 3D » de ce cathéter de HRM permet l'enregistrement de la pression à la fois de façon axiale et radiale tout en maintenant une position fixe de la sonde, et évitant ainsi la manœuvre de « pull-through ». Par conséquent, la 3D-HRM devrait permettre la mesure de paramètres importants de la JOG tels que sa longueur et le RIP. Les données extraites de l'enregistrement fait par 3D-HRM permettraient également de différencier les signaux de pression attribuables au SOI des éléments qui l’entourent. De plus, l’enregistrement des pressions de façon radiaire permettrait d’enregistrer la pression minimale de chaque niveau de capteurs et devrait corriger cette zone de haute pression parfois persistante lors la déglutition. Ainsi, les objectifs de ce travail étaient: 1) de décrire la morphologie de la JOG au repos en tant que barrière antireflux, en comparant les mesures effectuées avec la 3D-HRM en temps réel, par rapport à celle simulées lors d’une manœuvre de « pull-through » et de déterminer quelles sont les signatures des pressions attribuables au SOI et au diaphragme; 2) d’évaluer la relaxation de la JOG pendant la déglutition en testant l'hypothèse selon laquelle la 3D-HRM permet le développement d’un nouveau paradigme (appelé « 3D eSleeve ») pour le calcul de l’IRP, fondé sur l’utilisation de la pression radiale minimale à chaque niveau de capteur de pression le long de la JOG. Ce nouveau paradigme sera comparé à une étude de transit en vidéofluoroscopie pour évaluer le gradient de pression à travers la JOG. Méthodes : Nous avons utilisé un cathéter 3D-HRM, qui incorpore un segment dit « 3D » de 9 cm au sein d’un cathéter HRM par ailleurs standard. Le segment 3D est composé de 12 niveaux (espacés de 7.5mm) de 8 capteurs de pression disposés radialement, soit un total de 96 capteurs. Neuf volontaires ont été étudiés au repos, où des enregistrements ont été effectués en temps réel et pendant une manœuvre de « pull-through » du segment 3D (mobilisation successive du cathéter de 5 mm, pour que le segment 3D se déplace le long de la JOG). Les mesures de la longueur du SOI et la détermination du RIP ont été réalisées. La longueur de la JOG a été mesurée lors du « pull-through » en utilisant 4 capteurs du segment 3D dispersés radialement et les marges de la JOG ont été définies par une augmentation de la pression de 2 mmHg par rapport à la pression gastrique ou de l’œsophage. Pour le calcul en temps réel, les limites distale et proximale de la JOG ont été définies par une augmentation de pression circonférentielle de 2 mmHg par rapport à la pression de l'estomac. Le RIP a été déterminée, A) dans le mode de tracé conventionnel avec la méthode du « pull-through » [le RIP est la valeur moyenne de 4 mesures] et B) en position fixe, dans le mode de représentation topographique de la pression de l’œsophage, en utilisant l’outil logiciel pour déterminer le point d'inversion de la pression (PIP). Pour l'étude de la relaxation de la JOG lors de la déglutition, 25 volontaires ont été étudiés et ont subi 3 études de manométrie (10 déglutitions de 5ml d’eau) en position couchée avec un cathéter HRM standard et un cathéter 3D-HRM. Avec la 3D-HRM, l’analyse a été effectuée une fois avec le segment 3D et une fois avec une partie non 3D du cathéter (capteurs standard de HRM). Ainsi, pour chaque individu, l'IRP a été calculée de quatre façons: 1) avec la méthode conventionnelle en utilisant le cathéter HRM standard, 2) avec la méthode conventionnelle en utilisant le segment standard du cathéter 3D-HRM, 3) avec la méthode conventionnelle en utilisant le segment « 3D » du cathéter 3D-HRM, et 4) avec le nouveau paradigme (3D eSleeve) qui recueille la pression minimale de chaque niveau de capteurs (segment 3D). Quatorze autres sujets ont subi une vidéofluoroscopie simultanée à l’étude de manométrie avec le cathéter 3D-HRM. Les données de pression ont été exportés vers MATLAB ™ et quatre pressions ont été mesurées simultanément : 1) la pression du corps de l’œsophage, 2cm au-dessus de la JOG, 2) la pression intragastrique, 3) la pression radiale moyenne de la JOG (pression du eSleeve) et 4) la pression de la JOG en utilisant la pression minimale de chaque niveau de capteurs (pression du 3D eSleeve). Ces données ont permis de déterminer le temps permissif d'écoulement du bolus (FPT), caractérisé par la période au cours de laquelle un gradient de pression existe à travers la JOG (pression œsophagienne > pression de relaxation de la JOG > pression gastrique). La présence ou l'absence du bolus en vidéofluoroscopie et le FPT ont été codés avec des valeurs dichotomiques pour chaque période de 0,1 s. Nous avons alors calculé la sensibilité et la spécificité correspondant à la valeur du FPT pour la pression du eSleeve et pour la pression du 3D eSleeve, avec la vidéofluoroscopie pour référence. Résultats : Les enregistrements avec la 3D-HRM laissent suggérer que la longueur du sphincter évaluée avec la méthode du « pull-through » était grandement exagéré en incorporant dans la mesure du SOI les signaux de pression extrinsèques à l’œsophage, asymétriques et attribuables aux piliers du diaphragme et aux structures vasculaires. L’enregistrement en temps réel a permis de constater que les principaux constituants de la pression de la JOG au repos étaient attribuables au diaphragme. L’IRP calculé avec le nouveau paradigme 3D eSleeve était significativement inférieur à tous les autres calculs d'IRP avec une limite supérieure de la normale de 12 mmHg contre 17 mmHg pour l’IRP calculé avec la HRM standard. La sensibilité (0,78) et la spécificité (0,88) du 3D eSleeve étaient meilleurs que le eSleeve standard (0,55 et 0,85 respectivement) pour prédire le FPT par rapport à la vidéofluoroscopie. Discussion et conclusion : Nos observations suggèrent que la 3D-HRM permet l'enregistrement en temps réel des attributs de la JOG, facilitant l'analyse des constituants responsables de sa fonction au repos en tant que barrière antireflux. La résolution spatiale axiale et radiale du segment « 3D » pourrait permettre de poursuivre cette étude pour quantifier les signaux de pression de la JOG attribuable au SOI et aux structures extrinsèques (diaphragme et artéfacts vasculaires). Ces attributs du cathéter 3D-HRM suggèrent qu'il s'agit d'un nouvel outil prometteur pour l'étude de la physiopathologie du RGO. Au cours de la déglutition, nous avons évalué la faisabilité d’améliorer la mesure de l’IRP en utilisant ce nouveau cathéter de manométrie 3D avec un nouveau paradigme (3D eSleeve) basé sur l’utilisation de la pression radiale minimale à chaque niveau de capteurs de pression. Nos résultats suggèrent que cette approche est plus précise que celle de la manométrie haute résolution standard. La 3D-HRM devrait certainement améliorer la précision des mesures de relaxation de la JOG et cela devrait avoir un impact sur la recherche pour modéliser la JOG au cours de la déglutition et dans le RGO.

Analyse cinématique 3D de la coordination des articulations de l'épaule par l'entremise du rythme scapulo-huméral

L'épaule est souvent affectée par des troubles musculo-squelettiques. Toutefois, leur évaluation est limitée à des mesures qualitatives qui nuisent à la spécificité et justesse du diagnostic. L'analyse de mouvement tridimensionnel pourrait complémenter le traitement conventionnel à l'aide de mesures quantitatives fonctionnelles. L'interaction entre les articulations de l'épaule est estimée par le rythme scapulo-huméral, mais la variabilité prononcée qu'il affiche nuit à son utilisation clinique. Ainsi, l'objectif général de cette thèse était de réduire la variabilité de la mesure du rythme scapulo-huméral. L'effet de la méthode de calcul du rythme scapulo-huméral et des conditions d'exécution du mouvement (rotation axiale du bras, charge, vitesse, activité musculaire) ont été testées. La cinématique des articulations de l'épaule a été calculé par chaîne cinématique et filtre de Kalman étendu sur des sujets sains avec un système optoélectronique. La méthode usuelle de calcul du rythme scapulo-huméral extrait les angles d'élévation gléno-humérale et de rotation latérale scapulo-thoracique. Puisque ces angles ne sont pas co-planaires au thorax, leur somme ne correspond pas à l'angle d'élévation du bras. Une nouvelle approche de contribution articulaire incluant toutes les rotations de chaque articulation est proposée et comparée à la méthode usuelle. La méthode usuelle surestimait systématiquement la contribution gléno-humérale par rapport à la méthode proposée. Ce nouveau calcul du rythme scapulo-huméral permet une évaluation fonctionnelle dynamique de l'épaule et réduit la variabilité inter-sujets. La comparaison d'exercices de réadaptation du supra-épineux contrastant la rotation axiale du bras a été réalisée, ainsi que l'effet d'ajouter une charge externe. L'exercice «full-can» augmentait le rythme scapulo-huméral et la contribution gléno-humérale ce qui concorde avec la fonction du supra-épineux. Au contraire, l'exercice «empty-can» augmentait la contribution scapulo-thoracique ce qui est associé à une compensation pour éviter la contribution gléno-humérale. L'utilisation de charge externe lors de la réadaptation du supra-épineux semble justifiée par un rythme scapulo-huméral similaire et une élévation gléno-humérale supérieure. Le mouvement de l'épaule est souvent mesuré ou évalué en condition statique ou dynamique et passive ou active. Cependant, l'effet de ces conditions sur la coordination articulaire demeure incertain. La comparaison des ces conditions révélait des différences significatives qui montrent l'importance de considérer les conditions de mouvement pour l'acquisition ou la comparaison des données.

Validity of a Quantitative Clinical Measurement Tool of Trunk Posture in Idiopathic Scoliosis

STUDY DESIGN: Concurrent validity between postural indices obtained from digital photographs (two-dimensional [2D]), surface topography imaging (three-dimensional [3D]), and radiographs. OBJECTIVE: To assess the validity of a quantitative clinical postural assessment tool of the trunk based on photographs (2D) as compared to a surface topography system (3D) as well as indices calculated from radiographs. SUMMARY OF BACKGROUND DATA: To monitor progression of scoliosis or change in posture over time in young persons with idiopathic scoliosis (IS), noninvasive and nonionizing methods are recommended. In a clinical setting, posture can be quite easily assessed by calculating key postural indices from photographs. METHODS: Quantitative postural indices of 70 subjects aged 10 to 20 years old with IS (Cobb angle, 15 degrees -60 degrees) were measured from photographs and from 3D trunk surface images taken in the standing position. Shoulder, scapula, trunk list, pelvis, scoliosis, and waist angles indices were calculated with specially designed software. Frontal and sagittal Cobb angles and trunk list were also calculated on radiographs. The Pearson correlation coefficients (r) was used to estimate concurrent validity of the 2D clinical postural tool of the trunk with indices extracted from the 3D system and with those obtained from radiographs. RESULTS: The correlation between 2D and 3D indices was good to excellent for shoulder, pelvis, trunk list, and thoracic scoliosis (0.81>r<0.97; P<0.01) but fair to moderate for thoracic kyphosis, lumbar lordosis, and thoracolumbar or lumbar scoliosis (0.30>r<0.56; P<0.05). The correlation between 2D and radiograph spinal indices was fair to good (-0.33 to -0.80 with Cobb angles and 0.76 for trunk list; P<0.05). CONCLUSION: This tool will facilitate clinical practice by monitoring trunk posture among persons with IS. Further, it may contribute to a reduction in the use of radiographs to monitor scoliosis progression.

3D surface point and wireframe reconstruction from multiview photographic images

This paper describes a new method for reconstructing 3D surface points and a wireframe on the surface of a freeform object using a small number, e.g. 10, of 2D photographic images. The images are taken at different viewing directions by a perspective camera with full prior knowledge of the camera configurations. The reconstructed surface points are frontier points and the wireframe is a network of contour generators. Both of them are reconstructed by pairing apparent contours in the 2D images. Unlike previous works, we empirically demonstrate that if the viewing directions are uniformly distributed around the object's viewing sphere, then the reconstructed 3D points automatically cluster closely on a highly curved part of the surface and are widely spread on smooth or flat parts. The advantage of this property is that the reconstructed points along a surface or a contour generator are not under-sampled or under-represented because surfaces or contours should be sampled or represented with more densely points where their curvatures are high. The more complex the contour's shape, the greater is the number of points required, but the greater the number of points is automatically generated by the proposed method. Given that the viewing directions are uniformly distributed, the number and distribution of the reconstructed points depend on the shape or the curvature of the surface regardless of the size of the surface or the size of the object. The unique pattern of the reconstructed points and contours may be used in 31) object recognition and measurement without computationally intensive full surface reconstruction. The results are obtained from both computer-generated and real objects. (C) 2007 Elsevier B.V. All rights reserved.

Experimental measurement and numerical simulation of horizontal-coupled slinky ground source heat exchangers

Results from both experimental measurements and 3D numerical simulations of Ground Source Heat Pump systems (GSHP) at a UK climate are presented. Experimental measurements of a horizontal-coupled slinky GSHP were undertaken in Talbot Cottage at Drayton St Leonard site, Oxfordshire, UK. The measured thermophysical properties of in situ soil were used in the CFD model. The thermal performance of slinky heat exchangers for the horizontal-coupled GSHP system for different coil diameters and slinky interval distances was investigated using a validated 3D model. Results from a two month period of monitoring the performance of the GSHP system showed that the COP decreased with the running time. The average COP of the horizontal-coupled GSHP was 2.5. The numerical prediction showed that there was no significant difference in the specific heat extraction of the slinky heat exchanger at different coil diameters. However, the larger the diameter of coil, the higher the heat extraction per meter length of soil. The specific heat extraction also increased, but the heat extraction per meter length of soil decreased with the increase of coil central interval distance.

3D scanning by multiple fan beam X-ray sources and sensors

*** Purpose – Computer tomography (CT) for 3D reconstruction entails a huge number of coplanar fan-beam projections for each of a large number of 2D slice images, and excessive radiation intensities and dosages. For some applications its rate of throughput is also inadequate. A technique for overcoming these limitations is outlined. *** Design methodology/approach – A novel method to reconstruct 3D surface models of objects is presented, using, typically, ten, 2D projective images. These images are generated by relative motion between this set of objects and a set of ten fanbeam X-ray sources and sensors, with their viewing axes suitably distributed in 2D angular space. *** Findings – The method entails a radiation dosage several orders of magnitude lower than CT, and requires far less computational power. Experimental results are given to illustrate the capability of the technique *** Practical implications – The substantially lower cost of the method and, more particularly, its dramatically lower irradiation make it relevant to many applications precluded by current techniques *** Originality/value – The method can be used in many applications such as aircraft hold-luggage screening, 3D industrial modelling and measurement, and it should also have important applications to medical diagnosis and surgery.

Environmental factors and features that influence visual search in a 3D WIMP interface

The challenge of moving past the classic Window Icons Menus Pointer (WIMP) interface, i.e. by turning it ‘3D’, has resulted in much research and development. To evaluate the impact of 3D on the ‘finding a target picture in a folder’ task, we built a 3D WIMP interface that allowed the systematic manipulation of visual depth, visual aides, semantic category distribution of targets versus non-targets; and the detailed measurement of lower-level stimuli features. Across two separate experiments, one large sample web-based experiment, to understand associations, and one controlled lab environment, using eye tracking to understand user focus, we investigated how visual depth, use of visual aides, use of semantic categories, and lower-level stimuli features (i.e. contrast, colour and luminance) impact how successfully participants are able to search for, and detect, the target image. Moreover in the lab-based experiment, we captured pupillometry measurements to allow consideration of the influence of increasing cognitive load as a result of either an increasing number of items on the screen, or due to the inclusion of visual depth. Our findings showed that increasing the visible layers of depth, and inclusion of converging lines, did not impact target detection times, errors, or failure rates. Low-level features, including colour, luminance, and number of edges, did correlate with differences in target detection times, errors, and failure rates. Our results also revealed that semantic sorting algorithms significantly decreased target detection times. Increased semantic contrasts between a target and its neighbours correlated with an increase in detection errors. Finally, pupillometric data did not provide evidence of any correlation between the number of visible layers of depth and pupil size, however, using structural equation modelling, we demonstrated that cognitive load does influence detection failure rates when there is luminance contrasts between the target and its surrounding neighbours. Results suggest that WIMP interaction designers should consider stimulus-driven factors, which were shown to influence the efficiency with which a target icon can be found in a 3D WIMP interface.

Color measurement using a smartphone applied to Madeira wines

Computer vision is a field that uses techniques to acquire, process, analyze and understand images from the real world in order to produce numeric or symbolic information in the form of decisions [1]. This project aims to use computer vision to prepare an app to analyze a Madeira Wine and characterize it (identify its variety) by its color. Dry or sweet wines, young or old wines have a specific color. It uses techniques to compare histograms in order to analyze the images taken from a test sample inside a special container designed for this purpose. The color analysis from a wine sample using an image captured by a smartphone can be difficult. Many factors affect the captured image such as, light conditions, the background of the sample container due to the many positions the photo can be taken (different to capture facing a white wall or facing the floor for example). Using new technologies such as 3D printing it was possible to create a prototype that aims to control the effect of those external factors on the captured image. The results for this experiment are good indicators for future works. Although it’s necessary to do more tests, the first tests had a success rate of 80% to 90% of correct results. This report documents the development of this project and all the techniques and steps required to execute the tests.

MRT letter: Extended depth from focus reconstruction method for stretch zone measurement in 15-5PH steel

The stretch zone width (SZW) data for 15-5PH steel CTOD specimens fractured at -150 degrees C to + 23 degrees C temperature were measured based on focused images and 3D maps obtained by extended depth-of-field reconstruction from light microscopy (LM) image stacks. This LM-based method, with a larger lateral resolution, seems to be as effective for quantitative analysis of SZW as scanning electron microscopy (SEM) or confocal scanning laser microscopy (CSLM), permitting to clearly identify stretch zone boundaries. Despite the worst sharpness of focused images, a robust linear correlation was established to fracture toughness (KC) and SZW data for the 15-5PH steel tested specimens, measured at their center region. The method is an alternative to evaluate the boundaries of stretched zones, at a lower cost of implementation and training, since topographic data from elevation maps can be associated with reconstructed image, which summarizes the original contrast and brightness information. Finally, the extended depth-of-field method is presented here as a valuable tool for failure analysis, as a cheaper alternative to investigate rough surfaces or fracture, compared to scanning electron or confocal light microscopes. Microsc. Res. Tech. 75:11551158, 2012. (C) 2012 Wiley Periodicals, Inc.

The influence of subpixel measurement on digital camera calibration

The aim of this work is to evaluate the influence of point measurements in images, with subpixel accuracy, and its contribution in the calibration of digital cameras. Also, the effect of subpixel measurements in 3D coordinates of check points in the object space will be evaluated. With this purpose, an algorithm that allows subpixel accuracy was implemented for semi-automatic determination of points of interest, based on Fõrstner operator. Experiments were accomplished with a block of images acquired with the multispectral camera DuncanTech MS3100-CIR. The influence of subpixel measurements in the adjustment by Least Square Method (LSM) was evaluated by the comparison of estimated standard deviation of parameters in both situations, with manual measurement (pixel accuracy) and with subpixel estimation. Additionally, the influence of subpixel measurements in the 3D reconstruction was also analyzed. Based on the obtained results, i.e., on the quantification of the standard deviation reduction in the Inner Orientation Parameters (IOP) and also in the relative error of the 3D reconstruction, it was shown that measurements with subpixel accuracy are relevant for some tasks in Photogrammetry, mainly for those in which the metric quality is of great relevance, as Camera Calibration.

Migração 3D no tempo usando a teoria dos raios paraxiais

O trabalho aqui apresentado visa o estudo da migração 3D no tempo, em amplitudes verdadeiras, de dados da seção afastamento nulo ("zero-offset"), usando a aproximação de segunda ordem do tempo de trânsito de difração. O processo de migração no tempo usa a função difração determinada, corretamente, através de mesmos parâmetros que controlam a função tempo de trânsito de reflexão, além do auxílio dos raios paraxiais. Os parâmetros que controlam a função tempo de trânsito de reflexão são determinados através de pelo menos nove medidas de tempo de trânsito, obtidas a partir de dados pré-empilhados (tiro comum, ponto médio comum - CMP, etc.). Determinada a função difração, pode-se fazer a migração sem a necessidade de que se conheça o modelo de velocidades, pois a função tempo de trânsito de difração, como definido neste trabalho, não necessita do mesmo. O espalhamento geométrico é removido através do processo de migração e aplicação de uma função peso aos dados da seção afastamento nulo. Juntamente com a função peso, aplicou-se um filtro objetivando a recuperação da fase do sinal, ocorrida como consequência do processo de migração. Devido a limitação computacional, fez-se testes com dados sintéticos, em 2D, objetivando verificar a eficiência do programa. Os resultados obtidos foram satisfatórios, mostrando a eficiência e confiabilidade do processo.