971 resultados para linear measurements


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Digital models are an alternative for carrying out analyses and devising treatment plans in orthodontics. The objective of this study was to evaluate the accuracy and the reproducibility of measurements of tooth sizes, interdental distances and analyses of occlusion using plaster models and their digital images. Thirty pairs of plaster models were chosen at random, and the digital images of each plaster model were obtained using a laser scanner (3Shape R-700, 3Shape A/S). With the plaster models, the measurements were taken using a caliper (Mitutoyo Digimatic(®), Mitutoyo (UK) Ltd) and the MicroScribe (MS) 3DX (Immersion, San Jose, Calif). For the digital images, the measurement tools used were those from the O3d software (Widialabs, Brazil). The data obtained were compared statistically using the Dahlberg formula, analysis of variance and the Tukey test (p < 0.05). The majority of the measurements, obtained using the caliper and O3d were identical, and both were significantly different from those obtained using the MS. Intra-examiner agreement was lowest when using the MS. The results demonstrated that the accuracy and reproducibility of the tooth measurements and analyses from the plaster models using the caliper and from the digital models using O3d software were identical.

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INTRODUCTION The aim of this study was to determine the reproducibility and accuracy of linear measurements on 2 types of dental models derived from cone-beam computed tomography (CBCT) scans: CBCT images, and Anatomodels (InVivoDental, San Jose, Calif); these were compared with digital models generated from dental impressions (Digimodels; Orthoproof, Nieuwegein, The Netherlands). The Digimodels were used as the reference standard. METHODS The 3 types of digital models were made from 10 subjects. Four examiners repeated 37 linear tooth and arch measurements 10 times. Paired t tests and the intraclass correlation coefficient were performed to determine the reproducibility and accuracy of the measurements. RESULTS The CBCT images showed significantly smaller intraclass correlation coefficient values and larger duplicate measurement errors compared with the corresponding values for Digimodels and Anatomodels. The average difference between measurements on CBCT images and Digimodels ranged from -0.4 to 1.65 mm, with limits of agreement values up to 1.3 mm for crown-width measurements. The average difference between Anatomodels and Digimodels ranged from -0.42 to 0.84 mm with limits of agreement values up to 1.65 mm. CONCLUSIONS Statistically significant differences between measurements on Digimodels and Anatomodels, and between Digimodels and CBCT images, were found. Although the mean differences might be clinically acceptable, the random errors were relatively large compared with corresponding measurements reported in the literature for both Anatomodels and CBCT images, and might be clinically important. Therefore, with the CBCT settings used in this study, measurements made directly on CBCT images and Anatomodels are not as accurate as measurements on Digimodels.

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BACKGROUND The aim of this study was to evaluate the accuracy of linear measurements on three imaging modalities: lateral cephalograms from a cephalometric machine with a 3 m source-to-mid-sagittal-plane distance (SMD), from a machine with 1.5 m SMD and 3D models from cone-beam computed tomography (CBCT) data. METHODS Twenty-one dry human skulls were used. Lateral cephalograms were taken, using two cephalometric devices: one with a 3 m SMD and one with a 1.5 m SMD. CBCT scans were taken by 3D Accuitomo® 170, and 3D surface models were created in Maxilim® software. Thirteen linear measurements were completed twice by two observers with a 4 week interval. Direct physical measurements by a digital calliper were defined as the gold standard. Statistical analysis was performed. RESULTS Nasion-Point A was significantly different from the gold standard in all methods. More statistically significant differences were found on the measurements of the 3 m SMD cephalograms in comparison to the other methods. Intra- and inter-observer agreement based on 3D measurements was slightly better than others. LIMITATIONS Dry human skulls without soft tissues were used. Therefore, the results have to be interpreted with caution, as they do not fully represent clinical conditions. CONCLUSIONS 3D measurements resulted in a better observer agreement. The accuracy of the measurements based on CBCT and 1.5 m SMD cephalogram was better than a 3 m SMD cephalogram. These findings demonstrated the linear measurements accuracy and reliability of 3D measurements based on CBCT data when compared to 2D techniques. Future studies should focus on the implementation of 3D cephalometry in clinical practice.

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The reproducibility of measurements of alveolar bone loss on radiographs may be a problem on epidemiologic studies, as they are based on comparisons of the diagnosis of various examiners. The aim of the present research paper was to assess the inter- and intra-examiner reproducibility of measurements of the interproximal alveolar bone loss on non-manipulated digital radiographs and after the application of image filters. Five Oral Radiologists measured the distance between the cementoenamel junction (CEJ) to the alveolar crest or to the deepest point of the bony defect on 12 interproximal digital radiographs of molars and bicuspids of a dry human skull. The digital manipulation and the linear measurements were obtained with the Trophy Windows software (Throphy®). For each image, six different versions were created: 1) non-manipulated; 2) bright-contrast adjustment; 3) negative; 4) negative with brightness-contrast adjustment; 5) pseudo-colored; 6) pseudo-colored with brightness-contrast adjustment. In order to prevent interpretation bias because of the repetition of measurements, the examiners measured the radiographs in a random sequence. The two-way ANOVA test at 5% level of significance to compare the means of readings of the same operator with each filter indicated p<0.05 for the majority of operators, while the comparison between the mean values of operators using the same filter indicated p>0.05 for all filters. Based on the results, we concluded that linear measurements of interproximal alveolar bone loss on digital radiographs are highly reproducible among examiners. Nevertheless, the application of image filters significantly influenced the degree of intra-examiner reproducibility. Some filters even reduced the reproducibility of intra-examiner readings.

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Objectives This study introduces and assesses the precision of a standardized protocol for anthropometric measurement of the juvenile cranium using three-dimensional surface rendered models, for implementation in forensic investigation or paleodemographic research. Materials and methods A subset of multi-slice computed tomography (MSCT) DICOM datasets (n=10) of modern Australian subadults (birth—10 years) was accessed from the “Skeletal Biology and Forensic Anthropology Virtual Osteological Database” (n>1200), obtained from retrospective clinical scans taken at Brisbane children hospitals (2009–2013). The capabilities of Geomagic Design X™ form the basis of this study; introducing standardized protocols using triangle surface mesh models to (i) ascertain linear dimensions using reference plane networks and (ii) calculate the area of complex regions of interest on the cranium. Results The protocols described in this paper demonstrate high levels of repeatability between five observers of varying anatomical expertise and software experience. Intra- and inter-observer error was indiscernible with total technical error of measurement (TEM) values ≤0.56 mm, constituting <0.33% relative error (rTEM) for linear measurements; and a TEM value of ≤12.89 mm2, equating to <1.18% (rTEM) of the total area of the anterior fontanelle and contiguous sutures. Conclusions Exploiting the advances of MSCT in routine clinical assessment, this paper assesses the application of this virtual approach to acquire highly reproducible morphometric data in a non-invasive manner for human identification and population studies in growth and development. The protocols and precision testing presented are imperative for the advancement of “virtual anthropology” into routine Australian medico-legal death investigation.

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In dentistry, basic imaging techniques such as intraoral and panoramic radiography are in most cases the only imaging techniques required for the detection of pathology. Conventional intraoral radiographs provide images with sufficient information for most dental radiographic needs. Panoramic radiography produces a single image of both jaws, giving an excellent overview of oral hard tissues. Regardless of the technique, plain radiography has only a limited capability in the evaluation of three-dimensional (3D) relationships. Technological advances in radiological imaging have moved from two-dimensional (2D) projection radiography towards digital, 3D and interactive imaging applications. This has been achieved first by the use of conventional computed tomography (CT) and more recently by cone beam CT (CBCT). CBCT is a radiographic imaging method that allows accurate 3D imaging of hard tissues. CBCT has been used for dental and maxillofacial imaging for more than ten years and its availability and use are increasing continuously. However, at present, only best practice guidelines are available for its use, and the need for evidence-based guidelines on the use of CBCT in dentistry is widely recognized. We evaluated (i) retrospectively the use of CBCT in a dental practice, (ii) the accuracy and reproducibility of pre-implant linear measurements in CBCT and multislice CT (MSCT) in a cadaver study, (iii) prospectively the clinical reliability of CBCT as a preoperative imaging method for complicated impacted lower third molars, and (iv) the tissue and effective radiation doses and image quality of dental CBCT scanners in comparison with MSCT scanners in a phantom study. Using CBCT, subjective identification of anatomy and pathology relevant in dental practice can be readily achieved, but dental restorations may cause disturbing artefacts. CBCT examination offered additional radiographic information when compared with intraoral and panoramic radiographs. In terms of the accuracy and reliability of linear measurements in the posterior mandible, CBCT is comparable to MSCT. CBCT is a reliable means of determining the location of the inferior alveolar canal and its relationship to the roots of the lower third molar. CBCT scanners provided adequate image quality for dental and maxillofacial imaging while delivering considerably smaller effective doses to the patient than MSCT. The observed variations in patient dose and image quality emphasize the importance of optimizing the imaging parameters in both CBCT and MSCT.

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In this work, we address the recovery of block sparse vectors with intra-block correlation, i.e., the recovery of vectors in which the correlated nonzero entries are constrained to lie in a few clusters, from noisy underdetermined linear measurements. Among Bayesian sparse recovery techniques, the cluster Sparse Bayesian Learning (SBL) is an efficient tool for block-sparse vector recovery, with intra-block correlation. However, this technique uses a heuristic method to estimate the intra-block correlation. In this paper, we propose the Nested SBL (NSBL) algorithm, which we derive using a novel Bayesian formulation that facilitates the use of the monotonically convergent nested Expectation Maximization (EM) and a Kalman filtering based learning framework. Unlike the cluster-SBL algorithm, this formulation leads to closed-form EMupdates for estimating the correlation coefficient. We demonstrate the efficacy of the proposed NSBL algorithm using Monte Carlo simulations.

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Os moluscos pateliformes de água doce da região Neotropical são comumente atribuídos a família Ancylidae sensu latum, abrangendo sete gêneros com pelo menos 13 espécies válidas e sete com identificação duvidosa. Os ancilídeos possuem pequenas dimensões, alcançam no máximo 15 mm de comprimento. Sua concha é frágil, composta por duas regiões, a protoconcha e a teleoconcha, as quais apresentam caracteres relevantes para a sistemática. Na parte mole as impressões musculares, a pigmentação do manto, o sistema reprodutor e a rádula são importantes para o estudo da família. Apesar de existirem vários registros de ocorrência para ancílideos no Estado do Rio de Janeiro (ERJ), existem poucos dados morfológicos. O principal objetivo deste estudo foi fornecer e ampliar as informações sobre a morfologia e distribuição geográfica das espécies de Ancylidae encontradas no ERJ. Os materiais utilizados foram procedentes de coletas próprias, material depositado em Coleções Científicas e dados de revisão bibliográfica. O estudo da morfologia comparada das conchas foi realizado com o auxílio de imagens de microscópio óptico e de varredura. Para a comparação das partes moles, os espécimes foram corados e dissecados sob lupa. Através da conquiliometria analisamos as diferenças inter e intrapopulacionais. Com este trabalho, a riqueza conhecida para Ancylidae no ERJ, aumentou de cinco para sete espécies: Burnupia sp., Ferrissia sp., Gundlachia radiata (Guilding, 1828),G. ticaga (Marcus & Marcus, 1962), Gundlachia sp., Hebetancylus moricandi (d`Orbigny, 1837) e Uncancylus concentricus (d`Orbigny, 1837). Gundlachia radiata e U. concentricus constituem novos registros para o ERJ, e G. radiata para a Região Sudeste. As três espécies com o maior número de registros de ocorrência no ERJ foram: G. ticaga (66%), Ferrissia sp. (37%) e Gundlachia sp. (18%). A ampla distribuição de G. ticaga pode ser devido à capacidade de suportar ambientes impactados. Em relação à morfologia, Burnupia sp. difere de Burnupia ingae Lanzer, 1991, única espécie deste gênero descrita para o Brasil, por apresentar diferenças na microescultura da concha e também na forma das impressões musculares. Ferrissia sp. difere de F. gentilis Lanzer, 1991, devido a diferenças na microescultura apical e número de cúspides no dente central da rádula. Gundlachia sp. é diferente de G. ticaga e G. radiata, por apresentar a abertura da concha mais arredondada, ápice mais recurvado, ultrapassando a borda da concha, pontuações irregulares em toda a protoconcha e forma dos músculos adutores anterior direito e posterior mais elíptica. A morfologia interna também mostra diferenças entre Gundlachia sp. e G. ticaga, como o apêndice terminal do útero e o número de folículos do ovoteste. Através das análises conquiliométricas, constatamos para os gêneros Burnupia, Ferrrissia e Gundlachia, que os índices morfométricos se mostraram melhores que as medidas lineares para a discriminação das espécies, provavelmente porque esses índices diminuem o efeito da amplitude de tamanho das conchas, que são fortemente influenciadas pelas variações ecofenotípicas. Contudo, os caracteres diagnósticos das conchas e das partes moles (impressões musculares) são indispensáveis para a identificação dos gêneros e espécies de Ancylidae. Palavras-chave: Mollusca. Moluscos de água doce. Morfologia. Distribuição geográfica. Estado do Rio de Janeiro.uscos.

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The study of codes, classically motivated by the need to communicate information reliably in the presence of error, has found new life in fields as diverse as network communication, distributed storage of data, and even has connections to the design of linear measurements used in compressive sensing. But in all contexts, a code typically involves exploiting the algebraic or geometric structure underlying an application. In this thesis, we examine several problems in coding theory, and try to gain some insight into the algebraic structure behind them.

The first is the study of the entropy region - the space of all possible vectors of joint entropies which can arise from a set of discrete random variables. Understanding this region is essentially the key to optimizing network codes for a given network. To this end, we employ a group-theoretic method of constructing random variables producing so-called "group-characterizable" entropy vectors, which are capable of approximating any point in the entropy region. We show how small groups can be used to produce entropy vectors which violate the Ingleton inequality, a fundamental bound on entropy vectors arising from the random variables involved in linear network codes. We discuss the suitability of these groups to design codes for networks which could potentially outperform linear coding.

The second topic we discuss is the design of frames with low coherence, closely related to finding spherical codes in which the codewords are unit vectors spaced out around the unit sphere so as to minimize the magnitudes of their mutual inner products. We show how to build frames by selecting a cleverly chosen set of representations of a finite group to produce a "group code" as described by Slepian decades ago. We go on to reinterpret our method as selecting a subset of rows of a group Fourier matrix, allowing us to study and bound our frames' coherences using character theory. We discuss the usefulness of our frames in sparse signal recovery using linear measurements.

The final problem we investigate is that of coding with constraints, most recently motivated by the demand for ways to encode large amounts of data using error-correcting codes so that any small loss can be recovered from a small set of surviving data. Most often, this involves using a systematic linear error-correcting code in which each parity symbol is constrained to be a function of some subset of the message symbols. We derive bounds on the minimum distance of such a code based on its constraints, and characterize when these bounds can be achieved using subcodes of Reed-Solomon codes.

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A substituição clínica de dentes naturais perdidos por implantes osteointegrados tem representado uma das primeiras opções terapêuticas para a reabilitação de pacientes total ou parcialmente edêntulos. Apesar dos excelentes índices de sucesso demonstrados pelas restaurações implanto-suportadas, alguns fatores permanecem não esclarecidos, principalmente no que diz respeito à remodelação óssea ao redor dos implantes osteointegrados. Desta forma, o objetivo deste estudo foi avaliar a relação do nível de instalação dos implantes dentários com os parâmetros clínicos, com a remodelação óssea peri-implantar e com a colonização bacteriana, em implantes de plataforma regular, submetidos à carga imediata. Implantes de plataforma regular foram instalados em dois diferentes níveis em relação à crista óssea ao nível ósseo e supra ósseo (1 mm). No total, trinta e cinco implantes em 9 pacientes (idade média de 62,4 11,2 anos) foram avaliados radiograficamente no momento da instalação dos implantes (T1) e 6 meses após (T2), momento no qual também foram feitas análises clínicas e coleta de amostras para o teste microbiológico. Nos exames radiográficos foram analisadas a perda óssea, a partir de mensurações lineares da distância entre um ponto fixo do componente protético e o ponto mais coronário do contato osso-implante, e a densidade óptica alveolar obtida a partir de regiões ósseas de interesse (ROIs). As análises clínicas consistiram na avaliação da profundidade de sondagem e na mensuração do volume do fluido gengival peri-implantar. O perfil bacteriano dos sítios avaliados foi caracterizado por meio do método de análise de checkerboard DNA-DNA hybridization. Os testes estatísticos realizados mostraram não haver relação entre o nível de instalação dos implantes em relação à crista óssea e a remodelação óssea alveolar, tanto com relação à perda óssea (p = 0,725), como com relação à densidade óptica alveolar (p = 0,975). Também não foi possível estabelecer uma correlação entre a remodelação óssea e parâmetros clínicos como profundidade de sondagem e volume do fluido gengival peri-implantar. Com relação ao perfil bacteriano, não foram encontradas diferenças estatisticamente significativas entre os grupos avaliados para nenhuma das 40 bactérias analisadas.

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Recent field studies suggest that Macaca thibetana, a large endemic Chinese macaque, may be quite folivorous, distinguishing it from most other macaque species, which tend to be primarily frugivorous. To understand how this diet affects its masticatory system, we conducted a comparative morphometric study of mandibular dimensions. We took linear measurements from male and female mandibles of this species as well as four other macaques-M. fascicularis, M. nemestrina, M. arctoides, and M. assamensis-and four species of Presbytis-P. obscura, P. rubicunda, P. cristata, and P. phayrei-and subjected to them to a variety of analyses. Based on analyses of variances and discriminant analyses on each sex individually, the mandible of M. thibetana corresponds to expected patterns for folivorous primates with respect to its wide condyles and thick corpora: However, the height of the corpus and symphysis are lower, and the anteroposterior length of the condyle is longer than predicted for a folivore. In addition to interpretations specifically relating to M. thibetana, we also discuss the functional morphology of the other species in light of what is published about their diets.

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The correlation between diet and dental topography is of importance to paleontologists seeking to diagnose ecological adaptations in extinct taxa. Although the subject is well represented in the literature, few studies directly compare methods or evaluate dietary signals conveyed by both upper and lower molars. Here, we address this gap in our knowledge by comparing the efficacy of three measures of functional morphology for classifying an ecologically diverse sample of thirteen medium- to large-bodied platyrrhines by diet category (e.g., folivore, frugivore, hard object feeder). We used Shearing Quotient (SQ), an index derived from linear measurements of molar cutting edges and two indices of crown surface topography, Occlusal Relief (OR) and Relief Index (RFI). Using SQ, OR, and RFI, individuals were then classified by dietary category using Discriminate Function Analysis. Both upper and lower molar variables produce high classification rates in assigning individuals to diet categories, but lower molars are consistently more successful. SQs yield the highest classification rates. RFI and OR generally perform above chance. Upper molar RFI has a success rate below the level of chance. Adding molar length enhances the discriminatory power for all variables. We conclude that upper molar SQs are useful for dietary reconstruction, especially when combined with body size information. Additionally, we find that among our sample of platyrrhines, SQ remains the strongest predictor of diet, while RFI is less useful at signaling dietary differences in absence of body size information. The study demonstrates new ways for inferring the diets of extinct platyrrhine primates when both upper and lower molars are available, or, for taxa known only from upper molars. The techniques are useful in reconstructing diet in stem representatives of anthropoid clade, who share key aspects of molar morphology with extant platyrrhines.

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La masse corporelle et la direction des charges sont des facteurs qui peuvent modifier la morphologie des surfaces articulaires qui sont généralement orientées et de taille suffisante pour résister aux charges chroniques. Chez les hominoïdes, les forces de tension et compression, générées par la locomotion, sont transmises à travers l’articulation du coude. Ces espèces ont une morphologie similaire de l’extrémité distale de l’humérus, mais qui présente certaines différences selon la taille des individus et leurs modes de locomotion. Ce projet tente de caractériser plus exhaustivement cette variation en analysant la largeur des surfaces articulaires ainsi que leur position et orientation par rapport à l’axe long de la diaphyse. La prémisse de ce mémoire est que, chez les espèces plus arboricoles, la morphologie de l’articulation distale de l’humérus répond aux stress transverses générés par les puissants muscles fléchisseurs du poignet et des doigts qui traversent le coude obliquement. En revanche, les espèces plus terrestres présentent une morphologie permettant de résister aux forces axiales provenant du contact avec le sol. Des coordonnées tridimensionnelles et des mesures linéaires ont été recueillies sur un échantillon squelettique d’individus des genres Homo, Pan, Gorilla et Pongo. Les résultats obtenus révèlent que l’orientation et la position des surfaces articulaires de la trochlée correspondent aux types de locomotion, or leur taille et celle et du capitulum semblent être influencées par la taille des individus. L’hypothèse suggérant que les stress reliés aux divers modes de locomotion des hominoïdes influencent la morphologie de l’articulation distale de l’humérus est donc supportée.

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La scoliose idiopathique (SI) est une déformation tridimensionnelle (3D) de la colonne vertébrale et de la cage thoracique à potentiel évolutif pendant la croissance. Cette déformation 3D entraîne des asymétries de la posture. La correction de la posture est un des objectifs du traitement en physiothérapie chez les jeunes atteints d’une SI afin d’éviter la progression de la scoliose, de réduire les déformations morphologiques et leurs impacts sur la qualité de vie. Les outils cliniques actuels ne permettent pas de quantifier globalement les changements de la posture attribuables à la progression de la scoliose ou à l’efficacité des interventions thérapeutiques. L’objectif de cette thèse consiste donc au développement et à la validation d’un nouvel outil clinique permettant l’analyse quantitative de la posture auprès de personnes atteintes d’une SI. Ce projet vise plus spécifiquement à déterminer la fidélité et la validité des indices de posture (IP) de ce nouvel outil clinique et à vérifier leur capacité à détecter des changements entre les positions debout et assise. Suite à une recension de la littérature, 34 IP représentant l’alignement frontal et sagittal des différents segments corporels ont été sélectionnés. L’outil quantitatif clinique d’évaluation de la posture (outil 2D) construit dans ce projet consiste en un logiciel qui permet de calculer les différents IP (mesures angulaires et linéaires). L’interface graphique de cet outil est conviviale et permet de sélectionner interactivement des marqueurs sur les photographies digitales. Afin de vérifier la fidélité et la validité des IP de cet outil, la posture debout de 70 participants âgés entre 10 et 20 ans atteints d'une SI (angle de Cobb: 15º à 60º) a été évaluée à deux occasions par deux physiothérapeutes. Des marqueurs placés sur plusieurs repères anatomiques, ainsi que des points de référence anatomique (yeux, lobes des oreilles, etc.), ont permis de mesurer les IP 2D en utilisant des photographies. Ces mêmes marqueurs et points de référence ont également servi au calcul d’IP 3D obtenus par des reconstructions du tronc avec un système de topographie de surface. Les angles de Cobb frontaux et sagittaux et le déjettement C7-S1 ont été mesurés sur des radiographies. La théorie de la généralisabilité a été utilisée pour déterminer la fidélité et l’erreur standard de la mesure (ESM) des IP de l’outil 2D. Des coefficients de Pearson ont servi à déterminer la validité concomitante des IP du tronc de l’outil 2D avec les IP 3D et les mesures radiographiques correspondantes. Cinquante participants ont été également évalués en position assise « membres inférieurs allongés » pour l’étude comparative de la posture debout et assise. Des tests de t pour échantillons appariés ont été utilisés pour détecter les différences entre les positions debout et assise. Nos résultats indiquent un bon niveau de fidélité pour la majorité des IP de l’outil 2D. La corrélation entre les IP 2D et 3D est bonne pour les épaules, les omoplates, le déjettement C7-S1, les angles de taille, la scoliose thoracique et le bassin. Elle est faible à modérée pour la cyphose thoracique, la lordose lombaire et la scoliose thoraco-lombaire ou lombaire. La corrélation entre les IP 2D et les mesures radiographiques est bonne pour le déjettement C7-S1, la scoliose et la cyphose thoracique. L’outil est suffisamment discriminant pour détecter des différences entre la posture debout et assise pour dix des treize IP. Certaines recommandations spécifiques résultents de ce projet : la hauteur de la caméra devrait être ajustée en fonction de la taille des personnes; la formation des juges est importante pour maximiser la précision de la pose des marqueurs; et des marqueurs montés sur des tiges devraient faciliter l’évaluation des courbures vertébrales sagittales. En conclusion, l’outil développé dans le cadre de cette thèse possède de bonnes propriétés psychométriques et permet une évaluation globale de la posture. Cet outil devrait contribuer à l’amélioration de la pratique clinique en facilitant l’analyse de la posture debout et assise. Cet outil s’avère une alternative clinique pour suivre l’évolution de la scoliose thoracique et diminuer la fréquence des radiographies au cours du suivi de jeunes atteints d’une SI thoracique. Cet outil pourrait aussi être utile pour vérifier l’efficacité des interventions thérapeutiques sur la posture.