Detection of Synthetic Singularities in Natural Textures and Mammographies using Nearly Spherical Wavelets and filters

نویسندگان

  • C. Gouttiére
  • G. Lemaur
  • J. De Coninck
چکیده

The efficiency of defect detection for filters and wavelets is a fundamental problem in image processing. It has recently been shown that natural symmetries such as rotational invariance is of primary importance to solve this problem [1, 2]. We herewith investigate the detection of tunable singularities in natural textures from the Brodatz database and in parts of mammographies. We compare several filters and show that the efficiency of pointwise defect detection is intimately related to their rotational invariance property.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Kernels of Spherical Harmonics and Spherical Frames

Our concern is with the construction of a frame in L 2 (S) consisting of smooth functions based on kernels of spherical harmonics. The corresponding decomposition and reconstruction algorithms utilize discrete spherical Fourier transforms. Numerical examples connrm the theoretical expectations. x1. Introduction Traditionally, wavelets were tailored to problems on the Euclidean space IR d. Howev...

متن کامل

Fault Strike Detection Using Satellite Gravity Data Decomposition by Discrete Wavelets: A Case Study from Iran

Estimating the gravity anomaly causative bodies boundary can facilitate the gravity field interpretation. In this paper, 2D discrete wavelet transform (DWT) is employed as a method to delineate the boundary of the gravity anomaly sources. Hence, the GRACE’ satellite gravity data is decomposed using DWT. DWT decomposites a single approximation coefficients into four distinct components: the appr...

متن کامل

Spherical Wavelets: Texture Processing

Wavelets are a powerful tool for planar image processing. The resulting algorithms are straightforward, fast, and efficient. With the recently developed spherical wavelets this framework can be transposed to spherical textures. We describe a class of processing operators which are diagonal in the wavelet basis and which can be used for smoothing and enhancement. Since the wavelets (filters) are...

متن کامل

Performance evaluation of groundwater drainage in two types of PP450 synthetic filters and natural filtering in Sugarcane Farms: A Case Study of Salman Farsi Cultivation and Industry

Sand coverings account for a large part of the cost of a project. The purpose of this study is to evaluate the performance of different coatings for filtration of underground drains and reduce the cost of cornfield farms. The experiments were carried out in farm in Salman Farsi. The subsoil drainage was fitted to each test piece with a length of 120 meters, a diameter of 100 mm, and a distance ...

متن کامل

An Adaptive Approach for Texture Segmentation by Multi-channel Wavelet Frames

We introduce an adaptive approach for texture feature extraction based on multi-channel wavelet frames and two-dimensional envelope detection. Representations obtained from both standard wavelets and wavelet packets are evaluated for reliable texture segmentation. Algorithms for envelope detection based on edge detection and the Hilbert transform are presented. Analytic lters are selected for e...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2016