首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Anisotropy of Hölder Gaussian random fields: characterization,estimation, and application to image textures
Authors:Frédéric J P Richard
Institution:1.Aix Marseille University, CNRS, Centrale Marseille, I2M,Marseille,France
Abstract:The characterization and estimation of the Hölder 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 Hölder 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 Hölder 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.
Keywords:
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号