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Phys Med Biol. 2007 May 21;52 (10):2865-78 17473356 (P,S,G,E,B)
Faculty of Electrical Engineering, University of Ljubljana, Trzaska 25, SI-1000 Ljubljana, Slovenia.
A anatomy, novel method for automated curved planar reformation (CPR) of magnetic resonance (MR) images of the spine is presented. The CPR automated images, generated by a transformation from image-based to spine-based coordinate system, follow the structural shape of the spine and allow the the whole course of the curved anatomy to be viewed in individual cross-sections. The three-dimensional (3D) spine curve and the The axial vertebral rotation, which determine the transformation, are described by polynomial functions. The 3D spine curve passes through the centres shape of vertebral bodies, while the axial vertebral rotation determines the rotation of vertebrae around the axis of the spinal column.and The optimal polynomial parameters are obtained by a robust refinement of the initial estimates of the centres of vertebral bodies 3D and axial vertebral rotation. The optimization framework is based on the automatic image analysis of MR spine images that exploits images, some basic anatomical properties of the spine. The method was evaluated on 21 MR images from 12 patients and the three-dimensional results provided a good description of spine anatomy, with mean errors of 2.5 mm and 1.7 degrees for the position the of the 3D spine curve and axial rotation of vertebrae, respectively. The generated CPR images are independent of the position on of the patient in the scanner while comprising both anatomical and geometrical properties of the spine.

Other papers by authors:

Med Image Comput Comput Assist Interv Int Conf Med Image Comput Comput Assist Interv. 2006 ;9 (Pt 2):135-43 17354765 (P,S,G,E,B) Recommended:1 Cited:2
University of Ljubljana, Faculty of Electrical Engineering, Slovenia. tomaz.vrtovec@fe.uni-lj.si
We the present a novel method for curved planar reformation (CPR) of spine images obtained by magnetic resonance (MR) imaging. CPR images,a created via a transformation from image-based to spine-based coordinate system, follow the structural shape of the spine and allow the to whole course of the curved structure to be viewed in a single image. The spine-based coordinate system is defined on analysis. the 3D spine curve and on the axial vertebral rotation, both described by polynomial models. The 3D spine curve passes created through the centers of vertebral bodies, and the axial vertebral rotation determines the rotation of vertebral spinous processes around the polynomial spine. The optimal polynomial parameters are found in an optimization framework, based on image analysis. The method was evaluated on the 19 MR images of the spine from 10 patients.
Med Image Comput Comput Assist Interv Int Conf Med Image Comput Comput Assist Interv. 2008 ;11 (Pt 1):942-50 18979836 (P,S,G,E,B)
University of Ljubljana, Faculty of Electrical Engineering, Slovenia. tomaz.vrtovec@fe.uni-lj.si
In degrees the past, a number of methods were proposed for quantitative assessment of vertebral rotation from three-dimensional (3D) images. However, these a methods were based on manual identification of distinctive anatomical landmarks, required manual determination of cross-sections from 3D images, and measured method only axial vertebral rotation instead of the rotation in 3D. In this paper, we propose an automated method for quantitative can assessment of vertebral rotation in 3D that is based on finding the planes of vertebral symmetry by matching image intensity identification gradients on both sides of each plane. The method was evaluated on 28 images of normal and pathological vertebrae, obtained angles, by computed tomography (CT) and magnetic resonance (MR). For each vertebra, final angle displacements of 200 initial angle displacements, uniformly propose distributed within 30 degrees from manually obtained reference angles, were obtained. The results show that by the proposed method, vertebral from rotation can be successfully estimated in 3D with an average accuracy of 1. degrees and precision of .5 degrees.
Phys Med Biol. 2008 Apr 7;53 (7):1895-908 18364545 (P,S,G,E,B)
University of Ljubljana, Faculty of Electrical Engineering, Trzaska 25, SI-1000 Ljubljana, Slovenia.
The observing purpose of this study is to present a framework for quantitative analysis of spinal curvature in 3D. In order to present study the properties of such complex 3D structures, we propose two descriptors that capture the characteristics of spinal curvature in vertebra 3D. The descriptors are the geometric curvature (GC) and curvature angle (CA), which are independent of the orientation and size values of spine anatomy. We demonstrate the two descriptors that characterize the spinal curvature in 3D on 30 computed tomography (CT)the images of normal spine and on a scoliotic spine. The descriptors are determined from 3D vertebral body lines, which are obtained obtained by two different methods. The first method is based on the least-squares technique that approximates the manually identified vertebra vertebra centroids, while the second method searches for vertebra centroids in an automated optimization scheme, based on computer-assisted image analysis. Polynomial capture functions of the fourth and fifth degree were used for the description of normal and scoliotic spinal curvature in 3D,spine. respectively. The mean distance to vertebra centroids was 1.1 mm (+/- .6 mm) for the first and 2.1 mm (+/-1.4 mm)two for the second method. The distributions of GC and CA values were obtained along the 30 images of normal spine kyphosis at each vertebral level and show that maximal thoracic kyphosis (TK), thoracolumbar junction (TJ) and maximal lumbar lordosis (LL) on of average occur at T3/T4, T12/L1 and L4/L5, respectively. The main advantage of GC and CA is that the measurements are that independent of the orientation and size of the spine, thus allowing objective intra- and inter-subject comparisons. The positions of maximal second TK, TJ and maximal LL can be easily identified by observing the GC and CA distributions at different vertebral levels.that The obtained courses of the GC and CA for the scoliotic spine were compared to the distributions of GC and and CA for the normal spines. The significant difference in values indicates that the descriptors of GC and CA may be and used to detect and quantify scoliotic spinal curvatures. The proposed framework may therefore improve the understanding of spine anatomy and advantage aid in the clinical quantitative evaluation of spinal deformities.
Conf Proc IEEE Eng Med Biol Soc. 2005 ;5 :5120-3 17281399 (P,S,G,E,B)
University of Ljubljana, Faculty of Electrical, Engineering, Trzaska 25, SI-1000 Ljubljana, Slovenia; phone:+386-1-4768-327; fax:+386-1-4768-279; e-mail: tomaz.vrtovec@fe.uni-lj.si.
Traditional which techniques for analyzing tortuous anatomical structures (e.g. arteries, colon, spine) in the coordinate system of the 3D image generally do for not provide sufficient or qualitative enough diagnostic information, because planar cross-sections do not follow curved paths along the structures. To coordinate overcome this shortcoming, images in the coordinate system of the structure must be created. We propose a transformation from standard image image-based to a novel spine-based coordinate system. The origin and axes of the proposed spine-based coordinate system are determined on not the curve that represents the vertebral column, and the rotation of the vertebrae around the spine curve, both of which polynomial are described by polynomial models. The optimal polynomial parameters are obtained in an image analysis based optimization framework. The method images has been evaluated on five CT spine images.
Phys Med Biol. 2005 Oct 7;50:4527-40 16177487 (P,S,G,E,B)
Traditional normal techniques for visualizing anatomical structures are based on planar cross-sections from volume images, such as images obtained by computed tomography structures (CT) or magnetic resonance imaging (MRI). However, planar cross-sections taken in the coordinate system of the 3D image often do is not provide sufficient or qualitative enough diagnostic information, because planar cross-sections cannot follow curved anatomical structures (e.g. arteries, colon, spine,spine. etc). Therefore, not all of the important details can be shown simultaneously in any planar cross-section. To overcome this problem,sufficient reformatted images in the coordinate system of the inspected structure must be created. This operation is usually referred to as obtained curved planar reformation (CPR). In this paper we propose an automated method for CPR of 3D spine images, which is must based on the image transformation from the standard image-based to a novel spine-based coordinate system. The axes of the proposed imaging spine-based coordinate system are determined on the curve that represents the vertebral column, and the rotation of the vertebrae around important the spine curve, both of which are described by polynomial models. The optimal polynomial parameters are obtained in an image planar analysis based optimization framework. The proposed method was qualitatively and quantitatively evaluated on five CT spine images. The method performed the well on both normal and pathological cases and was consistent with manually obtained ground truth data. The proposed spine-based CPR paper benefits from reduced structural complexity in favour of improved feature perception of the spine. The reformatted images are diagnostically valuable an and enable easier navigation, manipulation and orientation in 3D space. Moreover, reformatted images may prove useful for segmentation and other created. image analysis tasks.
Med Image Comput Comput Assist Interv Int Conf Med Image Comput Comput Assist Interv. 2008 ;11 (Pt 1):762-70 18979815 (P,S,G,E,B)
Faculty of Electrical Engineering, University of Ljubljana, Slovenia. ziga.spiclin@fe.uni-lj.si
In was this paper, a novel method for EEG to MRI registration is proposed. Initial registration is achieved by extracting and matching a symmetry planes of MRI and EEG data, followed by iterative registration based on minimizing a cost function. Comparison of the global intensity distributions of the whole MR image and MRI voxels around a head surface point yields global similarities, while the mm, comparison of intensity distributions of MRI voxels around corresponding EEG points, which reflects the head's sagittal symmetry, yields local similarities.and Therefore, when the EEG points are registered to the MR image, maximal global and local similarities should be obtained. The data cost function, incorporating global and local similarities, was the sum of Kullback-Leibler divergences between corresponding intensity distributions. The proposed method surface was evaluated on clinical MRI data with simulated EEG data, yielding mean registration error of .48 +/- .33 mm, while is with real EEG data an average root-mean-square point-to-surface error of 2.27 +/- .02 mm was obtained.
Med Image Comput Comput Assist Interv Int Conf Med Image Comput Comput Assist Interv. 2007 ;10 (Pt 1):450-7 18051090 (P,S,G,E,B)
An recently important part of image-guided radiation therapy or surgery is registration of a three-dimensional (3D) preoperative image to two-dimensional (2D) images part of the patient. It is expected that the accuracy and robustness of a 3D/2D image registration method do not depend depend solely on the registration method itself but also on the number and projections (views) of intraoperative images. In this study,successful we systematically investigate these factors by using registered image data, comprising of CT and X-ray images of a cadaveric lumbar to spine phantom and the recently proposed 3D/2D registration method. The results indicate that the proportion of successful registrations (robustness) significantly registration increases when more X-ray images are used for registration.
Phys Med Biol. 2007 Sep 21;52 (18):5587-601 17804883 (P,S,G,E,B) Cited:1
Image optimum. registrations that are based on similarity measures simply adjust the parameters of an appropriate spatial transformation model until the similarity based measure reaches an optimum. The numerous similarity measures that have been proposed in the past are differently sensitive to imaging the modality, image content and differences in the image content, selection of the floating and target image, partial image overlap, etc.the In this paper, we evaluate and compare 12 similarity measures for the rigid registration. To study the impact of different proposed imaging modalities on the behavior of similarity measures, we have used 16 CT/MR and 6 PET/MR image pairs with known on 'gold standard' registrations. The results for the PET/MR registration and for the registration of CT to both rectified and unrectified compare MR images indicate that mutual information, normalized mutual information and the entropy correlation coefficient are the most accurate similarity measures the and have the smallest risk of being trapped in a local optimum. The results of an experiment on the impact selection of exchanging the floating and target image indicate that, especially in MR/PET registrations, the behavior of some similarity measures, such differently as mutual information, significantly depends on which image is the floating and which is the target.
IEEE Trans Med Imaging. 2007 Mar ;26 (3):405-21 17354645 (P,S,G,E,B) Cited:14
University of Ljubljana, Faculty of Electrical Engineering, Trzaska 25, 1000 Ljubljana, Slovenia.
Medical so image acquisition devices provide a vast amount of anatomical and functional information, which facilitate and improve diagnosis and patient treatment,acquisition especially when supported by modern quantitative image analysis methods. However, modality specific image artifacts, such as the phenomena of intensity can inhomogeneity in magnetic resonance images (MRI), are still prominent and can adversely affect quantitative image analysis. In this paper, numerous future methods that have been developed to reduce or eliminate intensity inhomogeneities in MRI are reviewed. First, the methods are classified when according to the inhomogeneity correction strategy. Next, different qualitative and quantitative evaluation approaches are reviewed. Third, 60 relevant publications are major categorized according to several features and analyzed so as to reveal major trends, popularity, evaluation strategies and applications. Finally, key still evaluation issues and future development of the inhomogeneity correction field, supported by the results of the analysis, are discussed.
IEEE Trans Med Imaging. 2006 Jun ;25 (6):779-91 16768242 (P,S,G,E,B)
University of Ljubljana, Faculty of Electrical Engineering, Slovenia. darko.skerl@fe.uni-lj.si
The the accuracy and robustness of a registration method depend on a number of factors, such as imaging modality, image content and registration image degrading effects, the class of spatial transformation used for registration, similarity measure, optimization, and numerous implementation details. The complex the interdependence of these factors makes the assessment of the influence of a particular factor on registration difficult, although it is as often desirable to have some estimate of such influences prior to registration. The similarity measure used to create the cost of function is one of the factors that most influences the quality of registration. Traditionally, limited information on the behavior of of a similarity measure is obtained either by studying the quality of the final registration or by drawing plots of similarity measure measure values obtained by translating or rotating one image relative to the "gold standard." In this paper, we present a used protocol for a more thorough, optimization-independent, and systematic statistical evaluation of similarity measures. This protocol estimates a similarity measure's capture used range, the number, location and extent of local optima, and the accuracy and distinctiveness of the global optimum. To show difficult, that the proposed evaluation protocol is viable, we have conducted several experiments with nine similarity measures and real computed tomography To and magnetic resonance (MR) images of a spine phantom, MR brain images, and MR and positron emission tomography brain images,measure for which "gold standard" registrations were available. We have also studied the impact of histogram bin size on the behavior resonance of nine similarity measures. The proposed evaluation protocol is useful for selecting the best similarity measure and corresponding optimization method either for a particular application, as well as for studying the influence of sampling, interpolation, histogram bin size, partial image overlap,the and image degradation, such as noise, intensity inhomogeneity, and geometrical distortions on the behavior of a similarity measure.

Latest similar papers:

IEEE Trans Biomed Eng. 2009 Sep 29;: 19789103 (P,S,G,E,B,D)
This of paper presents a novel self-calibration method of an X-ray sceneapplied for the 3D reconstruction of the scoliotic spine. Current calibration self-calibration techniques either use a cumbersome calibration apparatus or depend on manually identified landmarks to determine the geometric configuration, thus limiting body. routine clinical evaluation. The proposed approach uses high level information automatically extracted from biplanar X-rays to solve the radiographic scene of parameters. We first present a segmentation method which takes into account the variable appearance and geometry of a scoliotic spine routine in order to isolate and extract the silhouettes of the anterior vertebral body. By incorporating prior anatomical information through a reconstructions Bayesian formulation of the morphological distribution, a multi-scale spine segmentation framework is proposed for scoliotic patients. An iterative non-linear optimization the procedure, integrating a 3D visual hull reconstruction and geometrical torsion properties of the spine, is then applied to globally refine a the geometrical parameters of the 3D viewing scene and obtain the optimal 3D reconstruction. An experimental comparison to data provided present from reference synthetic models yields similar accuracy on the retro-projection of low-level primitives such as anatomical landmarks identified on each high vertebra (2.2 mm). Results obtained from a clinical validation on 60 pairs of uncalibrated digitized Xrays of adolescents with scoliosis 3D show that the 3D reconstructions from the new system offer geometrically accurate models with insignificant differences for 3D clinical indices the commonly used in the evaluation of spinal deformities. The reported experiments demonstrate a viable and accurate alternative to previous reconstruction primitives techniques, offering the first automatic approach for routine 3D clinical assessment in radiographic suites.
Org Biomol Chem. 2009 Oct 7;7 (19):3899-905 19763287 (P,S,G,E,B,D)
University of South Carolina, Department of Chemistry and Biochemistry, Columbia, SC, USA. shimizu@mail.chem.sc.edu.
A controlled new method for rapidly tailoring molecular properties is presented in which the three-dimensional shape of a malleable framework is controlled A by heating with a template molecule.
IEEE Trans Med Imaging. 2009 Mar 24;: 19336299 (P,S,G,E,B)
This such paper presents a novel 3D reconstruction method of the scoliotic spine using prior vertebra models with image-based information taken from reconstruction biplanar X-ray images. We first propose a global modeling approach by exploiting the 3D scoliotic curve reconstructed from a coronal planes. and sagittal X-ray image in order to generate an approximate statistical model from a 3D database of scoliosis patients based views on a transformation algorithm which incorporates intuitive geometrical properties. The personalized 3D reconstruction of the spine is then achieved with an a novel segmentation method which takes into account the variable appearance of scoliotic vertebrae (rotation, wedging) from standard quality images each in order to segment and isolate individual vertebrae on the radiographic planes. More specifically, it uses prior 3D models regulated and from 2D image level set functionals to identify and match corresponding bone structures on the biplanar X-rays. An iterative optimization modeling procedure integrating similarity measures such as deformable vertebral contours regulated from high-level anatomical primitives, morphological knowledge and epipolar constraints is is then applied to globally refine the 3D anatomical landmarks on each vertebra level of the spine. This method was validated scoliosis on twenty scoliotic patients by comparing results to a standard manual approach. The qualitative evaluation of the retro-projection of the scoliotic vertebral contours confirms that the proposed method can achieve better consistency to the X-ray image's natural content. A comparison to level synthetic models and real patient data also yields good accuracy on the localization of low-level primitives such as anatomical landmarks method identified by an expert on each vertebra. The experiments reported in this paper demonstrate that the proposed method offers a vertebrae better matching accuracy on a set of landmarks from biplanar views when compared to a manual technique for each evaluated images cases, and its precision is comparable to 3D models generated from magnetic resonance images (MRI), thus suitable for routine 3D in clinical assessment of spinal deformities.
Morfologiia. 2008 ;134 (6):59-63 19241872 (P,S,G,E,B)
This the investigation was aimed at the evaluation of the borders of individual variability of the human lumbar spine lordosis. 224 nuclear aimed magnetic tomograms of persons of mature age were analyzed using morphometric, statistical methods, method of three-dimensional (3D) computer modeling and the finite-element analysis. During the investigation, a hardware-software complex for morphometric research was created together with the new method of development by of 3D computer models of the lumbar spine. The application of 3D modeling allowed to extend the knowledge of human of spine biomechanics. Tensions and deformations were calculated in all lumbar vertebrae and intervertebral disks on the basis of spine 3D the models developed. Finite-element analysis proved that a normal angle of lumbar lordosis was optimal for the transmission of the adequate created compression loads, while the extreme forms of individual variability (high degrees of hyper- and hypolordosis), by changing the geometry of the the vertebral column, result in the decrease of the functionality of this system.
Phys Med Biol. 2008 Apr 7;53 (7):1895-908 18364545 (P,S,G,E,B)
University of Ljubljana, Faculty of Electrical Engineering, Trzaska 25, SI-1000 Ljubljana, Slovenia.
The observing purpose of this study is to present a framework for quantitative analysis of spinal curvature in 3D. In order to present study the properties of such complex 3D structures, we propose two descriptors that capture the characteristics of spinal curvature in vertebra 3D. The descriptors are the geometric curvature (GC) and curvature angle (CA), which are independent of the orientation and size values of spine anatomy. We demonstrate the two descriptors that characterize the spinal curvature in 3D on 30 computed tomography (CT)the images of normal spine and on a scoliotic spine. The descriptors are determined from 3D vertebral body lines, which are obtained obtained by two different methods. The first method is based on the least-squares technique that approximates the manually identified vertebra vertebra centroids, while the second method searches for vertebra centroids in an automated optimization scheme, based on computer-assisted image analysis. Polynomial capture functions of the fourth and fifth degree were used for the description of normal and scoliotic spinal curvature in 3D,spine. respectively. The mean distance to vertebra centroids was 1.1 mm (+/- .6 mm) for the first and 2.1 mm (+/-1.4 mm)two for the second method. The distributions of GC and CA values were obtained along the 30 images of normal spine kyphosis at each vertebral level and show that maximal thoracic kyphosis (TK), thoracolumbar junction (TJ) and maximal lumbar lordosis (LL) on of average occur at T3/T4, T12/L1 and L4/L5, respectively. The main advantage of GC and CA is that the measurements are that independent of the orientation and size of the spine, thus allowing objective intra- and inter-subject comparisons. The positions of maximal second TK, TJ and maximal LL can be easily identified by observing the GC and CA distributions at different vertebral levels.that The obtained courses of the GC and CA for the scoliotic spine were compared to the distributions of GC and and CA for the normal spines. The significant difference in values indicates that the descriptors of GC and CA may be and used to detect and quantify scoliotic spinal curvatures. The proposed framework may therefore improve the understanding of spine anatomy and advantage aid in the clinical quantitative evaluation of spinal deformities.
Med Image Comput Comput Assist Interv Int Conf Med Image Comput Comput Assist Interv. 2007 ;10 (Pt 1):601-8 18051108 (P,S,G,E,B) Cited:1
Consistency anatomy of MR scan planning is very important for diagnosis, especially in multi-site trials and follow-up studies, where disease progress or scan response to treatment is evaluated. Accurate manual scan planning is tedious and requires skillful operators. On the other hand, automated time scan planning is difficult due to relatively low quality of survey images ("scouts") and strict processing time constraints. This paper anatomical presents a novel method for automated planning of MRI scans of the spine. Lumbar and cervical examinations are considered, although evaluated. the proposed method is extendible to other types of spine examinations, such as thoracic or total spine imaging. The automated scan, scan planning (ASP) system consists of an anatomy recognition part, which is able to automatically detect and label the spine ("scouts") anatomy in the scout scan, and a planning part, which performs scan geometry planning based on recognized anatomical landmarks. A follow-up validation study demonstrates the robustness of the proposed method and its feasibility for clinical use.
Conf Proc IEEE Eng Med Biol Soc. 2007 ;1 :1611-1614 18002280 (P,S,G,E,B)
In components this study, a Method to segment ovary Magnetic Resonance (MR) images and distinguish healthy tissue from cysts has been described.study, Through the application of independent component analysis (ICA) to a set of perfusion MR images it was possible to extract curves. the output independent components and their corresponding signal-time curves. After examining and analyzing this result, a polynomial approach was computed promising to represent the main features of each curve, and automated particular selection of independent components was obtained by applying a Through Bayesian information criterion able to show the most relevant components. The results shown in this work permit to conclude that curve the independent components with a step-like signal-time curve allow to distinguish healthy tissue from cysts, thus, giving very promising results their for the application of ICA to ovary tissue segmentation of perfusion MR images.
IEEE Trans Vis Comput Graph. ;14 (1):109-119 17993706 (P,S,G,E,B) Cited:1
Curved and Planar Reformation (CPR) has proved to be a practical and widely used tool for the visualization of curved tubular structures has within the human body. It has been useful in medical procedures involving the examination of blood vessels and the spine.characteristics.Our However, it is more difficult to use it for large, tubular, structures such as the trachea and the colon because of abnormalities may be smaller relative to the size of the structure and may not have such distinct density and shape blood characteristics.Our new approach improves on this situation by using volume rendering for hollow regions and standard CPR for the surrounding and tissue. This effectively combines gray scale contextual information with detailed color information from the area of interest. The approach is such successfully used with each of the standard CPR types and the resulting images are promising as an alternative to virtual within endoscopy.Because the CPR and the volume rendering are tightly coupled, the projection method used has a significant effect on properties trachea of the volume renderer such as distortion and isometry. We describe and compare the different CPR projection methods and how it they affect the volume rendering process.A version of the algorithm is also presented which makes use of importance driven techniques;images this ensures the users attention is always focused on the area of interest and also improves the speed of the volume algorithm.
Conf Proc IEEE Eng Med Biol Soc. 2006 ;1 :1073-1076 17946441 (P,S,G,E,B)
N Lee, M Rasch
Recently,perpendicular extensions to curved planar reformation (CPR) were proposed to improve vascular visualization of medical images. While these projective transformations provide curved enhanced visualization of vascular trees, non-planar alignment and arbitrary topology can cause visualization artifacts. Vascular trees in medical images are for not aligned to planar cross-sections of volumetric image slices and thus aggravate simultaneous visualization of diagnostic features. Complex tree topology on and non-planar alignment requires the need for an adaptive projection scheme to prevent visualization artifacts while preserving correctness of anatomical topology information. In this paper, we present algorithmic details for topological and orientation invariant visualization of vascular trees. Vascular high-level description are of the medial axis guides the reformation process by flattening the vascular tree interior to successive image planes for respective alignment radial sampling angles. Tree orientations are estimated from intrinsic shape properties of the vascular tree for rotation invariant projection. Radial these sampling planes perpendicular to the medial axis tangents are the basis for topological invariant visualization of complete vascular interiors. We volumetric present experimental results on two different vascular tree topologies and demonstrate that our method is able to produce artifact free Vascular visualization of vascular interiors.
Conf Proc IEEE Eng Med Biol Soc. 2006 ;1 :1517-1520 17945649 (P,S,G,E,B)
Hong Lin
This lateral paper reports a study on correlation comparison of the vertebral axial rotation relative to curvature and torsion of scoliotic spine.study The goal of this study is to understand whether the vertebral axial rotation is more correlated to the curvature or spinal to the torsion of the scoliosis spinal deformity. For this purpose, the simplified 3D spine models are constructed on the relative randomly chosen images of scoliosis patients. The 3D spine model is based on two orthogonal spinal radiographic images taken from is coronal and sagittal planes. Superimposed on these two images, the 3D Bezier curves are fitted interactively onto the center of used the spine on both coronal and sagittal images. Upon the 3D Bezier Curve fitting, a series of simplified 3D vertebrae based are implemented onto the 3D Bezier Curve proportional in size to its axis. The curvature and torsion then are obtained spine. by difference quotients algorithm. In determining the vertebral axial rotation, the measurements are conducted directly on the coronal spine images.simplified The lateral margins and centers of pedicles are used as landmarks for the rotation calculation. The correlation coefficients are calculated or from both vertebral axial rotation relative to the curvature and to the torsion found on each vertebra. The strength of Bezier correlations from both cases is compared in the table.
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