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    • 2. 发明授权
    • Filters for denoising digital images with minimized blur and shape distortion and controlled deblurring
    • 用于去除数字图像的滤波器,其最小化模糊和形状失真以及受控制的去模糊
    • US08503811B2
    • 2013-08-06
    • US11753548
    • 2007-05-24
    • Amos Yahil
    • Amos Yahil
    • G06K9/40
    • G06K9/40G06T5/002G06T5/003G06T5/10G06T2207/20056H04N5/21
    • A curvature-preserving filter having a null covariance matrix is applied to an input image to produce a denoised output image for output to a graphic display device or to a machine analysis tool. In one embodiment, the input image is a small kernel consisting of a limited number of pixels and the filter is applied to the input image by direct summation. In another embodiment, a digital image is input into an image processor that executes a Fourier transform to produce a Fourier-transformed signal. The curvature-preserving filter is applied to the Fourier-transformed signal in Fourier space to produce a denoised signal, then the denoised signal is transformed by an inverse Fourier transform to generate a denoised output image In an alternate embodiment, the filter further produces a deblurred signal by including an inverse point-response function.
    • 具有零协方差矩阵的曲率保持滤波器被施加到输入图像以产生去噪的输出图像以输出到图形显示装置或机器分析工具。 在一个实施例中,输入图像是由有限数量的像素组成的小内核,并且通过直接求和将滤波器应用于输入图像。 在另一个实施例中,将数字图像输入到执行傅里叶变换以产生傅里叶变换信号的图像处理器。 将曲率保留滤波器应用于傅立叶空间中的傅里叶变换信号以产生去噪信号,然后通过逆傅立叶变换来变换去噪信号,以生成去噪输出图像。在替代实施例中,滤波器进一步产生去模糊 信号通过包括反点响应功能。
    • 4. 发明申请
    • External Pixon Smoothing for Tomographic Image Reconstruction Technical Field
    • 用于断层图像重建的外部Pixon平滑技术领域
    • US20090110254A1
    • 2009-04-30
    • US11931084
    • 2007-10-31
    • A. Hans VijaAmos Yahil
    • A. Hans VijaAmos Yahil
    • G06K9/00
    • G06T11/006G06T2211/424
    • In an aspect, tomographically reconstructing a 3D image object corresponding to a data set includes reconstructing a first reconstructed object from the data set, receiving a smoothing map, smoothing the first reconstructed object based on the smoothing map thereby creating a first smoothed object, and outputting the first smoothed object as the 3D image object.In another aspect, smoothing a first object thereby creating a smoothed object having a smoothed value associated to each object point in object space includes receiving the first object, determining, in a series of steps, single-kernel-smoothed objects, wherein each iteration step is associated with a kernel function and includes, determining a start object based on the first object, and smoothing the start object using the kernel function of the iteration step, thereby creating the single-kernel-smoothed object having single-kernel-smoothed values associated to each object point, and constructing the smoothed object from the single-kernel-smoothed values.
    • 在一方面,层析成像地重建与数据集相对应的3D图像对象包括从数据集重建第一重建对象,接收平滑图,基于平滑图平滑第一重建对象,从而创建第一平滑对象,并输出 第一个平滑对象作为3D图像对象。 在另一方面,平滑第一对象从而创建具有与对象空间中的每个对象点相关联的平滑值的平滑对象包括接收第一对象,在一系列步骤中确定单个内核平滑的对象,其中每个迭代步骤 与内核函数相关联,并且包括:基于第一对象确定起始对象,并使用迭代步骤的内核函数来平滑起始对象,由此创建具有相关联的单内核平滑值的单内核平滑对象 到每个对象点,并从单个内核平滑的值构建平滑的对象。
    • 5. 发明授权
    • System and method for prediction of behavior in financial systems
    • 金融系统行为预测系统和方法
    • US07328182B1
    • 2008-02-05
    • US09404122
    • 1999-09-23
    • Amos YahilRichard Puetter
    • Amos YahilRichard Puetter
    • G06Q40/00
    • G06F17/18G06Q40/00G06Q40/06
    • A computer-based system and method are provided to determine the minimum number of factors required to account for input data by seeking an approximate minimum complexity model. In an exemplary embodiment, covariance in the daily returns of financial securities is estimated by generating a positive-definite estimate of the elements of a covariance matrix consistent with the input data. Complexity of the covariance matrix is minimized by assuming that the number of independent parameters is likely to be much smaller than the number of elements in the covariance matrix. Each variable is described as a linear combination of independent factors and a part that fluctuates independently. The simplest model for the covariance matrix is selected so that it fits the data to within a specified level as determined by the selected goodness-of-fit criterion.
    • 提供基于计算机的系统和方法,以通过寻求近似最小复杂度模型来确定解决输入数据所需的最小因素数量。 在示例性实施例中,通过产生与输入数据一致的协方差矩阵的元素的正定估计来估计金融证券的日收益的协方差。 通过假设独立参数的数量可能远小于协方差矩阵中的元素的数量,协方差矩阵的复杂度被最小化。 每个变量被描述为独立因子和独立波动的部分的线性组合。 选择协方差矩阵的最简单模型,使得它将数据拟合到由选定的拟合优度准则确定的指定水平内。
    • 10. 发明授权
    • NNLS image reconstruction
    • NNLS图像重建
    • US08184876B2
    • 2012-05-22
    • US11931294
    • 2007-10-31
    • A. Hans VijaAmos Yahil
    • A. Hans VijaAmos Yahil
    • G06K9/00
    • G06T11/006G06T2211/424
    • In an aspect, reconstructing an image object associated with an input data set, includes for each step, in a series of iteration steps, determining an updated object from an input object based on a data model of the input object, a weighting-factor data set, and a gradient object, wherein the weighting-factor data set includes modified entries of the input data set. Reconstructing the image object further includes following a last iteration, outputting one of the updated objects as the image object.
    • 在一个方面,重构与输入数据集相关联的图像对象,包括对于每个步骤,在一系列迭代步骤中,基于输入对象的数据模型,从输入对象确定更新的对象,加权因子数据 设置和渐变对象,其中加权因子数据集包括输入数据集的修改条目。 重建图像对象还包括在最后一次迭代之后,将更新的对象之一作为图像对象输出。