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    • 9. 发明授权
    • Deriving a function that represents data points
    • 导出表示数据点的函数
    • US08732223B2
    • 2014-05-20
    • US12693122
    • 2010-01-25
    • Can Evren Yarman
    • Can Evren Yarman
    • G06F1/02G06F17/17
    • G06F17/17G01V11/00
    • A function that represents data points is derived by creating a matrix (e.g., a Hankel matrix) of an initial rank, where the matrix contains the data points. Singular values are derived based on the matrix, and it is determined whether a particular one of the singular values satisfies an error criterion. In response to determining that the particular singular value does not satisfy the error criterion, the rank of the matrix is increased and the deriving and determining tasks are repeated. In response to determining that the particular singular value satisfies the error criterion, values of parameters that approximate the function are computed.
    • 表示数据点的函数通过创建初始秩的矩阵(例如,汉克尔矩阵)而得到,其中矩阵包含数据点。 基于矩阵导出奇异值,并且确定奇异值中的特定值是否满足误差准则。 响应于确定特定奇异值不满足误差标准,矩阵的等级增加,导出和确定任务重复。 响应于确定特定奇异值满足误差准则,计算近似函数的参数值。
    • 10. 发明授权
    • Providing an imaging operator for imaging a subterranean structure
    • 提供用于对地下结构进行成像的成像操作器
    • US08391564B2
    • 2013-03-05
    • US12825531
    • 2010-06-29
    • Can Evren Yarman
    • Can Evren Yarman
    • G06K9/00
    • G01V1/28
    • To perform imaging of a subterranean structure, an imaging operator is generated through the design of a weight, where the weight is computed according to a design criterion, where the design criterion is selected from the group consisting of: (1) the imaging operator provides a true amplitude image; (2) the imaging operator minimizes mean square error; and (3) the imaging operator corresponds to a least squares inverse of a forward modeling operator. The weighted filter as defined by the computed weights is applied to produce an image of a subterranean structure.
    • 为了执行地下结构的成像,通过设计权重来生成成像操作者,其中根据设计标准来计算权重,其中设计标准选自:(1)成像操作者提供 真正的幅度图像; (2)成像算子使均方误差最小化; 和(3)成像算子对应于正向建模算子的最小二乘逆。 应用由计算的权重定义的加权滤波器以产生地下结构的图像。