Image reconstruction from limited Fourier data.

نویسندگان

  • Hsin M Shieh
  • Charles L Byrne
چکیده

We consider the problem of reconstructing a function f with bounded support S from finitely many values of its Fourier transform F. Although f cannot be band limited since it has bounded support, it is typically the case that f can be modeled as the restriction to S of a sigma-band-limited function, say g. Our reconstruction method is based on such a model for f. Of particular interest is the effect of the choice of sigma > 0 on the resolution.

برای دانلود رایگان 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

Accurate image reconstruction from few-view and limited-angle data in diffraction tomography.

We present a method for obtaining accurate image reconstruction from highly sparse data in diffraction tomography (DT). A practical need exists for reconstruction from few-view and limited-angle data, as this can greatly reduce required scan times in DT. Our method does this by minimizing the total variation (TV) of the estimated image, subject to the constraint that the Fourier transform of th...

متن کامل

Limited Angle Tomography of Sparse Images from Noisy Data using TLS MUSIC Algorithm

The limited angle tomography problem is to reconstruct an image from a set of its projections (Radon transform) over a limited range of angles. It has applications in medical imaging and synthetic aperture radar. From the Radon projectionslice theorem, this problem is equivalent to image reconstruction from partial Fourier data. This paper presents an algorithm for solving this problem for spar...

متن کامل

Ultra-Fast Image Reconstruction of Tomosynthesis Mammography Using GPU

Digital Breast Tomosynthesis (DBT) is a technology that creates three dimensional (3D) images of breast tissue. Tomosynthesis mammography detects lesions that are not detectable with other imaging systems. If image reconstruction time is in the order of seconds, we can use Tomosynthesis systems to perform Tomosynthesis-guided Interventional procedures. This research has been designed to study u...

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

عنوان ژورنال:
  • Journal of the Optical Society of America. A, Optics, image science, and vision

دوره 23 11  شماره 

صفحات  -

تاریخ انتشار 2006