Wigner-radon Representations for 3-d Seismic Data Analysis

نویسنده

  • Philippe Steeghs
چکیده

In this paper a local Radon representation is proposed and applied to 3-D seismic data analysis. The derivation of the local Radon power spectrum is based on an extension of the relation between the global Radon transform and multi-dimensional Fourier transform to the non-stationary case. This Wigner-Radon power spectrum is closely related to the Cohen’s class of quadratic timefrequency representations. The local Radon power spectrum is very well suited to characterize the geometry of seismic reflection surfaces. The normalized first moment of the Wigner-Radon representation can be used as a measure for the dip angle of the 3-D signal. Analysis of this geometrical information greatly facilitates the geological interpretation of the data.

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

Fast computation of the sliding-window Radon transform applied to 3-D seismic attribute extraction

The improved quality and dense sampling of 3-D seismic data has greatly increased the e ectiveness of attribute analysis for seismic interpretation. The availability of seismic attribute images and cubes can greatly facilitate the interpretation of large and complex data volumes. Many seismic attributes that are currently in use are based on parameters that bring forward changes of signal chara...

متن کامل

Fast computation of the sliding - window

We have developed a fast and robust algorithm for the extraction of 3-D seismic attributes. The algorithm is based on the recursive computation of the 3-D sliding-window Radon transform. Considerable gain in computational eeciency has been achieved with respect to existing algorithms. Field data results demonstrate the eeectiveness of the method for 3-D seismic interpretation.

متن کامل

Relation between Fresnel transform of input light field and Radon transform of Wigner function of the field

We prove a new theorem about the relationship between optical field Wigner function’s Radon transform and optical Fresnel transform of the field, i.e., when an input field ψ (x′) propagates through an optical [D (−B) (−C)A] system, the energy density of the output field is equal to the Radon transform of the Wigner function of the input field, where the Radon transform parameters are D,B. We pr...

متن کامل

Optical illustration of a varied fractional Fourier-transform order and the Radon-Wigner display.

Based on an all-optical system, a display of a fractional Fourier transform with many fractional orders is proposed. Because digital image-processing terminology is used, this display is known as the Radon-Wigner transform. It enables new aspects for signal analysis that are related to time- and spatial-frequency analyses. The given approach for producing this display starts with a one-dimensio...

متن کامل

Watermarking in the space/spatial-frequency domain using two-dimensional Radon-Wigner distribution

A two-dimensional (2-D) signal with a variable spatial frequency is proposed as a watermark in the spatial domain. This watermark is characterized by a linear frequency change. It can be efficiently detected by using 2-D space/spatial-frequency distributions. The projections of the 2-D Wigner distribution--the 2-D Radon-Wigner distribution, are used in order to emphasize the watermark detection...

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 2000