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    • 8. 发明授权
    • Function-based representation of N-dimensional structures
    • 基于功能的N维结构表示
    • US08081180B2
    • 2011-12-20
    • US11941863
    • 2007-11-16
    • Duane W. StortiMark A. Ganter
    • Duane W. StortiMark A. Ganter
    • G06T17/00G06K9/00
    • G06T17/00B33Y50/00G06T7/11G06T7/162G06T2207/10072G06T2207/30004
    • A method is disclosed for the solid modeling of objects that is particularly suitable to modeling objects obtained from scan data, typically voxel-based data, for example medical imaging data. The method provides a more direct approach to providing solid modeling capabilities in modeling complex objects, such as organic objects, that are identified through a segmentation of the scanned data. The voxel-based data is obtained, and segmented to identify in the data the surface of the object. The segmentation is preferably accomplished using a graph cuts/level set method to obtain a grid of signed distance function data. The signed distance function data is then interpolated using wavelets, to produce a functional representation model of the object. The model does not require tessellation, and may be relatively compact. In particular, the resulting wavelet analysis is inherently amenable to multi-resolution analysis and compaction.
    • 公开了一种用于物体的实体建模的方法,该方法特别适用于对从扫描数据(通常基于体素的数据)(例如医学成像数据)获得的建模对象进行建模。 该方法提供了一种更直接的方法来提供实体建模功能,以建模通过扫描数据的分割识别的复杂对象(如有机对象)。 获取基于体素的数据,并将其分段以在数据中标识对象的表面。 分割优选使用图形切割/水平集方法来获得带有符号距离函数数据的网格。 然后使用小波对有符号的距离函数数据进行内插,以产生对象的功能表示模型。 该模型不需要细分,可能相对紧凑。 特别地,所得到的小波分析本质上适用于多分辨率分析和压缩。
    • 9. 发明申请
    • FUNCTION-BASED REPRESENTATION OF N-DIMENSIONAL STRUCTURES
    • 基于功能的N维结构的表示
    • US20080117205A1
    • 2008-05-22
    • US11941863
    • 2007-11-16
    • Duane W. StortiMark A. Ganter
    • Duane W. StortiMark A. Ganter
    • G06K9/00G06T17/00
    • G06T17/00B33Y50/00G06T7/11G06T7/162G06T2207/10072G06T2207/30004
    • A method is disclosed for the solid modeling of objects that is particularly suitable to modeling objects obtained from scan data, typically voxel-based data, for example medical imaging data. The method provides a more direct approach to providing solid modeling capabilities in modeling complex objects, such as organic objects, that are identified through a segmentation of the scanned data. The voxel-based data is obtained, and segmented to identify in the data the surface of the object. The segmentation is preferably accomplished using a graph cuts/level set method to obtain a grid of signed distance function data. The signed distance function data is then interpolated using wavelets, to produce a functional representation model of the object. The model does not require tessellation, and may be relatively compact. In particular, the resulting wavelet analysis is inherently amenable to multi-resolution analysis and compaction.
    • 公开了一种用于物体的实体建模的方法,该方法特别适用于对从扫描数据(通常基于体素的数据)(例如医学成像数据)获得的建模对象进行建模。 该方法提供了一种更直接的方法来提供实体建模功能,以建模通过扫描数据的分割识别的复杂对象(如有机对象)。 获取基于体素的数据,并将其分段以在数据中标识对象的表面。 分割优选使用图形切割/水平集方法来获得带有符号距离函数数据的网格。 然后使用小波对有符号的距离函数数据进行内插,以产生对象的功能表示模型。 该模型不需要细分,可能相对紧凑。 特别地,所得到的小波分析本质上适用于多分辨率分析和压缩。
    • 10. 发明授权
    • Constructing shape skeletons of 3D objects using generalized Voronoi
diagrams
    • 使用广义Voronoi图构建3D对象的形状骨架
    • US6133921A
    • 2000-10-17
    • US862217
    • 1997-05-23
    • George M. TurkiyyahDuane W. StortiMark A. GanterHao Chen
    • George M. TurkiyyahDuane W. StortiMark A. GanterHao Chen
    • G06T17/20G06T17/00
    • G06T17/20
    • Starting with a solid model of a 3D object, an accurate skeleton is produced by minimizing internal and edge errors of an initial approximate skeleton. To produce the initial approximate skeleton, the boundary of the solid is densely sampled to obtain a set of surface data points. Delaunay triangulation is performed on the surface data points and exterior and spurious tetrahedra are removed, leaving substantially interior tetrahedra. Circumspheres are constructed that enclose the tetrahedra, and the centers of the circumspheres are connected based on tetrahedra adjacency, to form a Voronoi diagram. Closed Voronoi cells are identified comprising the initial approximate skeleton. The position of skeleton interior vertices are then adjusted to minimize their error, producing a refined polygonal approximation of the skeleton interior geometry. Positions of the skeleton edge vertices are adjusted to minimize the edge error, yielding an accurate polygonal approximation of the skeleton.
    • 从3D对象的实体模型开始,通过最小化初始近似骨架的内部和边缘错误来生成精确的骨架。 为了产生初始近似骨架,固体的边界被密集采样以获得一组表面数据点。 Delaunay三角测量在表面数据点进行,外部和虚拟四面体被去除,留下基本上内四面体。 构造围绕四面体的环形球,并且圆球的中心基于四面体相邻连接,以形成Voronoi图。 确定包含初始近似骨架的封闭Voronoi细胞。 然后调整骨骼内部顶点的位置以最小化其误差,从而产生骨架内部几何的精确多边形近似。 调整骨架边缘顶点的位置以最小化边缘误差,从而产生骨架的精确多边形近似。