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    • 5. 发明授权
    • Systems and methods for building axes, co-axes and paleo-geographic coordinates related to a stratified geological volume
    • 用于建立与分层地质体相关的轴,同轴和古地理坐标的系统和方法
    • US08711140B1
    • 2014-04-29
    • US12791352
    • 2010-06-01
    • Jean-Laurent Mallet
    • Jean-Laurent Mallet
    • G06T15/00G06T17/00
    • G06T19/20G01V99/005G01V2210/643G06T17/05G06T2219/2004
    • A method, apparatus and system for, in a computing system, modeling a subsurface structure at a time period when the structure was originally formed. A memory may store a first model having a plurality of non-planar horizons representing a current state of the subsurface structure. A processor may compute a vector field based on the non-planar geometry of the horizons of the first model. The vector field may be a non-uniform vector field (e.g., the axe and/or co-axe vector field) or a uniform vector field (e.g., a global axis). Using the vector field, the processor may transform geographic coordinates of the first model to paleo-geographic coordinates of a second model representing a predicted state of the subsurface structure at a time period when the subsurface structure was originally formed, where the non-planar horizons in the first model are transformed to planar horizons in the second model. A display may display the first model.
    • 一种用于在计算系统中在最初形成结构的时间段对地下结构建模的方法,装置和系统。 存储器可以存储具有表示地下结构的当前状态的多个非平面视野的第一模型。 处理器可以基于第一模型的视野的非平面几何来计算矢量场。 矢量场可以是非均匀矢量场(例如,轴和/或同轴矢量场)或均匀矢量场(例如,全局轴)。 使用矢量场,处理器可以在最初形成地下结构的时间段将第一模型的地理坐标转换成代表地下结构的预测状态的第二模型的古地理坐标,其中非平面视野 在第二个模型中,第一个模型被转换为平面视野。 显示器可以显示第一个模型。
    • 6. 发明授权
    • Global constrained parameterization of triangulated surfaces
    • 三角形表面的全局约束参数化
    • US06300958B1
    • 2001-10-09
    • US09118348
    • 1998-07-17
    • Jean-Laurent Mallet
    • Jean-Laurent Mallet
    • G06F1500
    • G06T15/04G06T17/20
    • Methods and apparatus for mapping a feature onto a simulated surface having contoured portions, the surface being definable by a plurality of generally adjacent triangulations, the surface being further definable by a plurality of intersecting isoparametric curves linking identified values of the feature to identified points on the surface. In one embodiment, the isoparametric curves are characterized in that when the surface is flat, the isoparametric curves intersect one another in a perpendicular manner, and the perpendicularity of the intersections on the contoured portions of the surface is maintained. In another embodiment, the isoparametric curves are characterized in that when the surface is flat. The isoparametric curves are spaced a predetermined distance apart, and the spacing of the intersections on the contoured portions of the surface is maintained. In a third embodiment of the invention, the isoparametric curves are characterized by defined mathematical relationships having a plurality of variables associated with at least the topology of the surface, and at least one of the variables is held constant between isoparametric curves. Preferably, each of the triangulations are characterized by vertices terminating at points on the surface, and the method further includes using the vertices to define a gradient of a mathematical function associated with the feature, which function is interpolated over the triangulated surface.
    • 用于将特征映射到具有轮廓部分的模拟表面上的方法和装置,所述表面可由多个大致相邻的三角测量定义,所述表面可由多个相交的等参数曲线进一步限定,所述多个相交的等参数曲线将所述特征的识别值与 表面。 在一个实施例中,等参数曲线的特征在于当表面是平坦的时,等参数曲线以垂直方式彼此相交,并且维持表面轮廓部分上的交点的垂直度。 在另一个实施例中,等参数曲线的特征在于当表面平坦时。 等参数曲线间隔开预定距离,并保持表面轮廓部分上交叉点的间距。 在本发明的第三实施例中,等参数曲线的特征在于具有至少与表面拓扑相关联的多个变量的限定数学关系,并且至少一个变量在等参数曲线之间保持不变。 优选地,每个三角测量的特征在于在表面上的点处终止的顶点,并且该方法还包括使用顶点来定义与特征相关联的数学函数的梯度,该函数在三角形表面上进行内插。