Method and device for determining images from X-ray projections
    1.
    发明授权
    Method and device for determining images from X-ray projections 有权
    用于从X射线投影确定图像的方法和装置

    公开(公告)号:US08619944B2

    公开(公告)日:2013-12-31

    申请号:US12772793

    申请日:2010-05-03

    IPC分类号: A61B6/03

    摘要: A method and a device for determining attenuation coefficients for an object using a movable X-ray source and a detector, which is provided for recording projections, is provided. The method includes specifying a trajectory for the movable X-ray source, specifying positions on the trajectory for determining a derivative of projections recorded by the detector, specifying a plurality of scanning positions for each of the specified positions, following the trajectory with the X-ray source and recording a projection for each scanning position, numerically calculating a projection derivative in relation to the trajectory path for each of the positions using the projections recorded for the associated plurality of scanning positions, and determining attenuation coefficients for the object from the calculated projection derivatives using a theoretically exact or approximate rule for the reconstruction.

    摘要翻译: 提供了一种用于使用可移动X射线源和检测器确定用于记录投影的物体的衰减系数的方法和装置。 该方法包括指定可移动X射线源的轨迹,指定用于确定由检测器记录的投影的导数的轨迹上的位置,指定针对每个指定位置的多个扫描位置,跟踪具有X轴的轨迹, 并且对每个扫描位置记录投影,使用针对相关联的多个扫描位置记录的投影,针对每个位置对与轨迹路径相关的投影导数进行数值计算,并根据所计算的投影确定该物体的衰减系数 衍生物使用理论上精确或近似的重建规则。

    Method and apparatus for determining an image from x-ray projections recorded when traversing a trajectory
    2.
    发明授权
    Method and apparatus for determining an image from x-ray projections recorded when traversing a trajectory 有权
    用于从穿过轨迹记录的X射线投影确定图像的方法和装置

    公开(公告)号:US08213564B2

    公开(公告)日:2012-07-03

    申请号:US12888121

    申请日:2010-09-22

    IPC分类号: A61B6/03

    摘要: A method for determining attenuation coefficients for an object using a movable x-ray source and a detector for recording projections is provided. The method includes defining a trajectory for the movable x-ray source, defining filtering lines for the filtering of projection data, and defining positions on the filtering lines, at which the projection derivative is to be formed using a mathematical algorithm for a back-projection. The method also includes defining sampling positions on the trajectory, traversing, by the x-ray source, the trajectory and recording a projection for each sampling position. Projection derivatives with respect to the trajectory path are calculated numerically for each of the positions directly on the filtering lines, and using a mathematical algorithm, attenuation coefficients are determined for the object from the calculated projection derivatives, for the reconstruction.

    摘要翻译: 提供了一种使用可移动x射线源和用于记录投影的检测器来确定物体的衰减系数的方法。 该方法包括定义可移动x射线源的轨迹,定义用于过滤投影数据的滤波线,以及定义滤波线上的位置,在该线上将使用用于反投影的数学算法形成投影导数 。 该方法还包括定义轨迹上的采样位置,由x射线源穿过轨迹并记录每个采样位置的投影。 对于轨迹路径的投影导数,对于直接在滤波线上的每个位置进行数值计算,并且使用数学算法,对于重建,从所计算的投影导数确定对象的衰减系数。

    METHOD AND APPARATUS FOR DETERMINING AN IMAGE FROM X-RAY PROJECTIONS RECORDED WHEN TRAVERSING A TRAJECTORY
    3.
    发明申请
    METHOD AND APPARATUS FOR DETERMINING AN IMAGE FROM X-RAY PROJECTIONS RECORDED WHEN TRAVERSING A TRAJECTORY 有权
    用于确定拍摄轨迹时记录的X射线投影的图像的方法和装置

    公开(公告)号:US20110069807A1

    公开(公告)日:2011-03-24

    申请号:US12888121

    申请日:2010-09-22

    IPC分类号: A61B6/03

    摘要: A method for determining attenuation coefficients for an object using a movable x-ray source and a detector for recording projections is provided. The method includes defining a trajectory for the movable x-ray source, defining filtering lines for the filtering of projection data, and defining positions on the filtering lines, at which the projection derivative is to be formed using a mathematical algorithm for a back-projection. The method also includes defining sampling positions on the trajectory, traversing, by the x-ray source, the trajectory and recording a projection for each sampling position. Projection derivatives with respect to the trajectory path are calculated numerically for each of the positions directly on the filtering lines, and using a mathematical algorithm, attenuation coefficients are determined for the object from the calculated projection derivatives, for the reconstruction.

    摘要翻译: 提供了一种使用可移动x射线源和用于记录投影的检测器来确定物体的衰减系数的方法。 该方法包括定义可移动x射线源的轨迹,定义用于过滤投影数据的滤波线,以及定义滤波线上的位置,在该线上将使用用于反投影的数学算法形成投影导数 。 该方法还包括定义轨迹上的采样位置,由x射线源穿过轨迹并记录每个采样位置的投影。 对于轨迹路径的投影导数,对于直接在滤波线上的每个位置进行数值计算,并且使用数学算法,对于重建,从所计算的投影导数确定对象的衰减系数。

    METHOD AND DEVICE FOR DETERMINING IMAGES FROM X-RAY PROJECTIONS
    4.
    发明申请
    METHOD AND DEVICE FOR DETERMINING IMAGES FROM X-RAY PROJECTIONS 有权
    用于从X射线投影中确定图像的方法和装置

    公开(公告)号:US20100286928A1

    公开(公告)日:2010-11-11

    申请号:US12772793

    申请日:2010-05-03

    IPC分类号: G01T1/00 G01N23/04 G06F19/00

    摘要: A method and a device for determining attenuation coefficients for an object using a movable X-ray source and a detector, which is provided for recording projections, is provided. The method includes specifying a trajectory for the movable X-ray source, specifying positions on the trajectory for determining a derivative of projections recorded by the detector, specifying a plurality of scanning positions for each of the specified positions, following the trajectory with the X-ray source and recording a projection for each scanning position, numerically calculating a projection derivative in relation to the trajectory path for each of the positions using the projections recorded for the associated plurality of scanning positions, and determining attenuation coefficients for the object from the calculated projection derivatives using a theoretically exact or approximate rule for the reconstruction.

    摘要翻译: 提供了一种用于使用可移动X射线源和检测器确定用于记录投影的物体的衰减系数的方法和装置。 该方法包括指定可移动X射线源的轨迹,指定用于确定由检测器记录的投影的导数的轨迹上的位置,指定针对每个指定位置的多个扫描位置,跟踪具有X轴的轨迹, 并且对每个扫描位置记录投影,使用针对相关联的多个扫描位置记录的投影,针对每个位置对与轨迹路径相关的投影导数进行数值计算,并根据所计算的投影确定该物体的衰减系数 衍生物使用理论上精确或近似的重建规则。

    System and method for tomographic reconstruction in the 2D parallel-beam geometry
    6.
    发明授权
    System and method for tomographic reconstruction in the 2D parallel-beam geometry 有权
    2D平行光束几何中的断层重建的系统和方法

    公开(公告)号:US08885793B2

    公开(公告)日:2014-11-11

    申请号:US13540588

    申请日:2012-07-02

    申请人: Frank Dennerlein

    发明人: Frank Dennerlein

    摘要: An alternative analytical method for tomographic reconstruction in the 2D parallel-beam geometry is presented. This method may follow a filtering and backprojection scheme and may involve a global filtering in the projection domain and a local filtering in the image domain. For example, the method may include applying Hilbert filtering to the received projection data, computing an antiderivative of the filtered data, backprojecting the antiderivative into the image domain, and computing the 2D Laplacian of the backprojection image.

    摘要翻译: 提出了2D平行光束几何中断层成像重建的另一种分析方法。 该方法可以遵循滤波和反投影方案,并且可以涉及投影域中的全局滤波和图像域中的局部滤波。 例如,该方法可以包括将Hilbert滤波应用于所接收的投影数据,计算滤波数据的反向推导,反向投影到图像域中,以及计算反投影图像的2D拉普拉斯算子。

    Modification and elimination of back projection weight during the CT image reconstruction
    7.
    发明授权
    Modification and elimination of back projection weight during the CT image reconstruction 有权
    CT图像重建过程中背投重量的修正和消除

    公开(公告)号:US08824760B2

    公开(公告)日:2014-09-02

    申请号:US12588573

    申请日:2009-10-20

    IPC分类号: A61B6/03

    摘要: At least one embodiment of the invention relates to a method for the reconstruction of image data from an examined object, using measuring data, wherein the measuring data were first recorded during a relative movement between a radiation source on a computer tomography system and the examined object. In at least one embodiment, the image reconstruction is based on a back projection of the filtered measuring data. During the back projection, a back projection weight that depends on the respective image point is used and the power with which the back projection weight is used is selectable.

    摘要翻译: 本发明的至少一个实施例涉及一种用于使用测量数据从被检查对象重建图像数据的方法,其中测量数据首先在计算机断层摄影系统上的辐射源与被检查对象之间的相对移动期间被记录 。 在至少一个实施例中,图像重建基于滤波测量数据的反投影。 在背投影期间,使用取决于相应图像点的背投影重量,并且可以选择使用背投影重量的功率。

    Back-projection of a projection image data set with depth-dependent filtering
    8.
    发明授权
    Back-projection of a projection image data set with depth-dependent filtering 有权
    具有深度依赖性滤波的投影图像数据集的反投影

    公开(公告)号:US08630474B2

    公开(公告)日:2014-01-14

    申请号:US13537298

    申请日:2012-06-29

    IPC分类号: G06K9/00 A61B6/00

    摘要: For filtered back-projection of a projection image data set, the projection image data set is cosine-weighted. The cosine-weighted projection image data set within the image plane of the projection image data set is subjected to a two-dimensional Radon transformation. The Radon transform of the cosine-weighted projection image data set differentiated with respect to the distance from an image origin of an image coordinate system. The derivative of the Radon transform is redundancy-weighted. The redundancy-weighted derivative is subjected to a two-dimensional Radon back-transformation. The Radon back-transform is differentiated and back-projected with respect to an image column coordinate. A differentiation step width entering into the differentiation is varied depending on depth.

    摘要翻译: 对于投影图像数据集的滤波反投影,投影图像数据集被余弦加权。 在投影图像数据组的图像平面内设置的余弦加权投影图像数据进行二维Radon变换。 余弦加权投影图像数据集的Radon变换相对于距离图像坐标系的图像原点的距离不同。 Radon变换的导数是冗余加权的。 冗余加权导数进行二维Radon反向变换。 Radon反向变换相对于图像列坐标进行区分和反投影。 进入分化的分化步长根据深度而变化。

    BACK-PROJECTION OF A PROJECTION IMAGE DATA SET WITH DEPTH-DEPENDENT FILTERING
    9.
    发明申请
    BACK-PROJECTION OF A PROJECTION IMAGE DATA SET WITH DEPTH-DEPENDENT FILTERING 有权
    投影图像数据的反投影具有深度依赖性过滤

    公开(公告)号:US20130028498A1

    公开(公告)日:2013-01-31

    申请号:US13537298

    申请日:2012-06-29

    IPC分类号: G06K9/40

    摘要: For filtered back-projection of a projection image data set, the projection image data set is cosine-weighted. The cosine-weighted projection image data set within the image plane of the projection image data set is subjected to a two-dimensional Radon transformation. The Radon transform of the cosine-weighted projection image data set differentiated with respect to the distance from an image origin of an image coordinate system. The derivative of the Radon transform is redundancy-weighted. The redundancy-weighted derivative is subjected to a two-dimensional Radon back-transformation. The Radon back-transform is differentiated and back-projected with respect to an image column coordinate. A differentiation step width entering into the differentiation is varied depending on depth.

    摘要翻译: 对于投影图像数据集的滤波反投影,投影图像数据集被余弦加权。 在投影图像数据组的图像平面内设置的余弦加权投影图像数据进行二维Radon变换。 余弦加权投影图像数据集的Radon变换相对于距离图像坐标系的图像原点的距离不同。 Radon变换的导数是冗余加权的。 冗余加权导数进行二维Radon反向变换。 Radon反向变换相对于图像列坐标进行区分和反投影。 进入分化的分化步长根据深度而变化。

    Reconstruction of 3D image datasets from x-ray and cone-beam data
    10.
    发明申请
    Reconstruction of 3D image datasets from x-ray and cone-beam data 有权
    从X射线和锥束数据重建3D图像数据集

    公开(公告)号:US20110085637A1

    公开(公告)日:2011-04-14

    申请号:US12902237

    申请日:2010-10-12

    IPC分类号: A61B6/03 G06T17/00

    CPC分类号: G06T11/006 A61B6/027

    摘要: A method for producing a 3D image dataset of an object with an imaging system having an x-ray source and an x-ray detector is provided. A series of two-dimensional arrays of cone beam data from the detector is acquired while the source moves along a substantially planar trajectory around the object. The trajectory is described by a series of source points serially numbered by a counter parameter. The cone beam data is differentiated with respect to the counter parameter at a fixed ray direction to produce a derivative of the cone beam data. The derivative is filtered with a Hilbert-like filter to produce filtered cone beam data. The acquired or the filtered cone beam data is multiplied with a redundancy weighting function. The cone beam data is back-projected to reconstruct a 3D image dataset.

    摘要翻译: 提供了一种使用具有X射线源和X射线检测器的成像系统来生成物体的3D图像数据集的方法。 来自检测器的一系列锥形束数据的二维阵列被获取,同时源沿着物体周围的基本上平面的轨迹移动。 轨迹由一系列通过计数器参数串行编号的源点描述。 锥形束数据在固定的射线方向上相对于计数器参数微分,以产生锥形束数据的导数。 用希尔伯特滤波器滤波导数,以产生滤波的锥束数据。 所获取的或经滤波的锥束数据与冗余加权函数相乘。 锥形束数据被反投影以重建3D图像数据集。