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    • 1. 发明申请
    • Method for classifying data using an analytic manifold
    • 使用分析歧管对数据进行分类的方法
    • US20080063264A1
    • 2008-03-13
    • US11517645
    • 2006-09-08
    • Fatih M. PorikliOncel C. Tuzel
    • Fatih M. PorikliOncel C. Tuzel
    • G06K9/62
    • G06K9/6256G06K9/00369G06K9/4642
    • A computer implemented method constructs a classifier for classifying test data. High-level features are generated from low-level features extracted from training data. The high level features are positive definite matrices in a form of an analytical manifold. A subset of the high-level features is selected. An intrinsic mean matrix is determined from the subset of the selected high-level features. Each high-level feature is mapped to a feature vector onto a tangent space of the analytical manifold using the intrinsic mean matrix. Then, an untrained classifier model can be trained with the feature vectors to obtain a trained classifier. Subsequently, the trained classifier can classify unknown test data.
    • 计算机实现的方法构建用于分类测试数据的分类器。 高级功能是从训练数据中提取的低级功能产生的。 高级特征是分析歧管形式的正定矩阵。 选择高级功能的子集。 从所选择的高级特征的子集确定固有均值矩阵。 使用内在平均矩阵将每个高级特征映射到分析歧管的切线空间上的特征向量。 然后,可以使用特征向量来训练未经训练的分类器模型以获得训练有素的分类器。 随后,经过训练的分类器可以对未知的测试数据进行分类。
    • 2. 发明申请
    • Detecting Moving Objects in Video by Classifying on Riemannian Manifolds
    • 通过黎曼流形分类检测视频中的移动物体
    • US20080063285A1
    • 2008-03-13
    • US11763699
    • 2007-06-15
    • Fatih M. PorikliOncel C. Tuzel
    • Fatih M. PorikliOncel C. Tuzel
    • G06K9/46
    • G06K9/00369G06K9/4642G06K9/6257
    • A method constructs a classifier from training data and detects moving objects in test data using the trained classifier. High-level features are generated from low-level features extracted from training data. The high level features are positive definite matrices on an analytical manifold. A subset of the high-level features is selected, and an intrinsic mean matrix is determined. Each high-level feature is mapped to a feature vector on a tangent space of the analytical manifold using the intrinsic mean matrix. An untrained classifier is trained with the feature vectors to obtain a trained classifier. Test high-level features are similarly generated from test low-level features. The test high-level features are classified using the trained classifier to detect moving objects in the test data.
    • 一种方法从训练数据构建分类器,并使用经过训练的分类器检测测试数据中的移动对象。 高级功能是从训练数据中提取的低级功能产生的。 高级特征是分析歧管上的正定矩阵。 选择高级特征的子集,并确定固有均值矩阵。 每个高级特征使用内在平均矩阵映射到分析歧管的切线空间上的特征向量。 使用特征向量训练未训练的分类器以获得训练有素的分类器。 测试高级功能类似地从测试低级功能生成。 测试高级功能使用训练有素的分类器进行分类,以检测测试数据中的移动对象。
    • 3. 发明授权
    • Method for classifying data using an analytic manifold
    • 使用分析歧管对数据进行分类的方法
    • US07724961B2
    • 2010-05-25
    • US11517645
    • 2006-09-08
    • Fatih M. PorikliOncel C. Tuzel
    • Fatih M. PorikliOncel C. Tuzel
    • G06K9/62G06E1/00
    • G06K9/6256G06K9/00369G06K9/4642
    • A computer implemented method constructs a classifier for classifying test data. High-level features are generated from low-level features extracted from training data. The high level features are positive definite matrices in a form of an analytical manifold. A subset of the high-level features is selected. An intrinsic mean matrix is determined from the subset of the selected high-level features. Each high-level feature is mapped to a feature vector onto a tangent space of the analytical manifold using the intrinsic mean matrix. Then, an untrained classifier model can be trained with the feature vectors to obtain a trained classifier. Subsequently, the trained classifier can classify unknown test data.
    • 计算机实现的方法构建用于分类测试数据的分类器。 高级功能是从训练数据中提取的低级功能产生的。 高级特征是分析歧管形式的正定矩阵。 选择高级功能的子集。 从所选择的高级特征的子集确定固有均值矩阵。 使用内在平均矩阵将每个高级特征映射到分析歧管的切线空间上的特征向量。 然后,可以使用特征向量来训练未经训练的分类器模型以获得训练有素的分类器。 随后,经过训练的分类器可以对未知的测试数据进行分类。
    • 4. 发明授权
    • Detecting moving objects in video by classifying on riemannian manifolds
    • 通过对黎曼流形进行分类来检测视频中的移动物体
    • US07899253B2
    • 2011-03-01
    • US11763699
    • 2007-06-15
    • Fatih M. PorikliOncel C. Tuzel
    • Fatih M. PorikliOncel C. Tuzel
    • G06K9/46
    • G06K9/00369G06K9/4642G06K9/6257
    • A method constructs a classifier from training data and detects moving objects in test data using the trained classifier. High-level features are generated from low-level features extracted from training data. The high level features are positive definite matrices on an analytical manifold. A subset of the high-level features is selected, and an intrinsic mean matrix is determined. Each high-level feature is mapped to a feature vector on a tangent space of the analytical manifold using the intrinsic mean matrix. An untrained classifier is trained with the feature vectors to obtain a trained classifier. Test high-level features are similarly generated from test low-level features. The test high-level features are classified using the trained classifier to detect moving objects in the test data.
    • 一种方法从训练数据构建分类器,并使用经过训练的分类器检测测试数据中的移动对象。 高级功能是从训练数据中提取的低级功能产生的。 高级特征是分析歧管上的正定矩阵。 选择高级特征的子集,并确定固有均值矩阵。 每个高级特征使用内在平均矩阵映射到分析歧管的切线空间上的特征向量。 使用特征向量训练未训练的分类器以获得训练有素的分类器。 测试高级功能类似地从测试低级功能生成。 测试高级功能使用训练有素的分类器进行分类,以检测测试数据中的移动对象。
    • 6. 发明申请
    • Object Detection Using Combinations of Relational Features in Images
    • 使用图像中关系特征组合的对象检测
    • US20110293173A1
    • 2011-12-01
    • US12786648
    • 2010-05-25
    • Fatih M. PorikliVijay Venkatarman
    • Fatih M. PorikliVijay Venkatarman
    • G06K9/62
    • G06K9/6256G06K9/4642G06K9/629
    • A classifier for detecting objects in images is constructed from a set of training images. For each training image, features are extracted from a window in the training image, wherein the window contains the object, and then randomly sample coefficients c of the features. N-combinations for each possible set of the coefficients are determined. For each possible combination of the coefficients, a Boolean valued proposition is determined using relational operators to generate a propositional space. Complex hypotheses of a classifier are defined by applying combinatorial functions of the Boolean operators to the propositional space to construct all possible logical propositions in the propositional space. Then, the complex hypotheses of the classifier can be applied to features in a test image to detect whether the test image contains the object.
    • 用于检测图像中的对象的分类器由一组训练图像构成。 对于每个训练图像,从训练图像中的窗口提取特征,其中窗口包含对象,然后随机抽取特征的系数c。 确定每个可能的系数集合的N个组合。 对于系数的每个可能的组合,使用关系运算符来确定布尔值的命题以产生命题空间。 分类器的复杂假设通过将布尔运算符的组合函数应用于命题空间来定义,以构成命题空间中的所有可能的逻辑命题。 然后,分类器的复杂假设可以应用于测试图像中的特征,以检测测试图像是否包含对象。
    • 10. 发明申请
    • Method for Filtering Data with Arbitrary Kernel Filters
    • 使用任意内核过滤器过滤数据的方法
    • US20080219580A1
    • 2008-09-11
    • US11683482
    • 2007-03-08
    • Fatih M. Porikli
    • Fatih M. Porikli
    • G06K9/40G06F17/10
    • G06T5/20G06F17/153
    • A computer implemented method filters input data with a kernel filter. A kernel filter is defined, and a set of unique filter coefficients for the kernel filter are determined. A linkage set is constructed for each unique filter coefficient such that the linkage set includes relative links to positions in the kernel filter that have identical filter coefficients, and in which each relative link is an inverse of the position of the unique filter coefficient. Each input data point is processed by multiply values on which the kernel filter is centered by each of the unique filter coefficients, and adding results of the multiplying to the corresponding output data points as referenced by the relative links.
    • 计算机实现的方法使用内核过滤器过滤输入数据。 定义内核过滤器,并确定内核过滤器的一组唯一的过滤器系数。 为每个唯一的滤波器系数构造一个链接集合,使得链接集合包括具有相同滤波器系数的核滤波器中的位置的相对链接,并且其中每个相对链路是唯一滤波器系数的位置的倒数。 每个输入数据点由乘法值处理,其中内核滤波器由每个唯一的滤波器系数居中,并将乘法结果相加到由相对链接引用的相应输出数据点。