• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Statistics and computing >Anisotropy of Holder Gaussian random fields: characterization, estimation, and application to image textures
【24h】

Anisotropy of Holder Gaussian random fields: characterization, estimation, and application to image textures

机译：Holder高斯随机场的各向异性：表征，估计和应用于图像纹理

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The characterization and estimation of the Holder regularity of random fields has long been an important topic of Probability theory and Statistics. This notion of regularity has also been widely used in image analysis to measure the roughness of textures. However, such a measure is rarely sufficient to characterize textures as it does not account for their directional properties (e.g., isotropy and anisotropy). In this paper, we present an approach to further characterize directional properties associated with the Holder regularity of random fields. Using the spectral density, we define a notion of asymptotic topothesy which quantifies directional contributions of field high-frequencies to the Holder regularity. This notion is related to the topothesy function of the so-called anisotropic fractional Brownian fields, but is defined in a more generic framework of intrinsic random fields. We then propose a method based on multi-oriented quadratic variations to estimate this asymptotic topothesy. Eventually, we evaluate this method on synthetic data and apply it for the characterization of historical photographic papers.
机译：长期以来，随机场的Holder规律的表征和估计一直是概率论和统计学的重要课题。这种规律性概念也已广泛用于图像分析中，以测量纹理的粗糙度。但是，这种措施很少能表征纹理，因为它不能说明纹理的方向性（例如，各向同性和各向异性）。在本文中，我们提出了一种方法，以进一步表征与随机场的Holder规律性相关的方向特性。使用频谱密度，我们定义了渐近全谱的概念，该概念量化了场高频对Holder规律性的方向性贡献。这个概念与所谓的各向异性分数布朗场的全能函数有关，但是在固有随机场的更通用框架中定义。然后，我们提出了一种基于多方向二次方差的方法来估计这种渐近性。最终，我们在合成数据上评估了该方法，并将其用于表征历史相纸。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号