A Short Introduction to Tomographic Grain Map Reconstruction

نویسنده

  • Andreas Alpers
چکیده

Recent X-ray techniques allow for the first time to image small crystals – known as grains – deep inside of polycrystalline materials. This is of interest in materials science. Two important techniques are based on tomography principles related to discrete tomography. We give a short introduction to the basic reconstruction problems arising in this context. The focus is on revealing the mathematical structure and the relationship to discrete tomography by abstracting from the experimental setup details. Concepts are explained for readers with no background in diffraction theory.

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

Conventional Voxel in Tomographic Reconstruction Based upon Plane-Integral Projections – Use It or Lose It?

Introduction: While the necessity of replacing voxels with blobs in conventional tomographic reconstruction based upon line-integrals is clear, it is not however well-investigated in plane- integral-based reconstruction. The problem is more challenging in convergent-plane projection reconstruction. In this work, we are aiming at utilizing blobs as alternative to voxels. <stron...

متن کامل

A New Approach for Quantitative Evaluation of Reconstruction Algorithms in SPECT

ABTRACT Background: In nuclear medicine, phantoms are mainly used to evaluate the overall performance of the imaging systems and practically there is no phantom exclusively designed for the evaluation of the software performance.  In this study the Hoffman brain phantom was used for quantitative evaluation of reconstruction techniques. The phantom is modified to acquire t...

متن کامل

Performance Evaluation of FBP Reconstruction in SPECT Imaging

Introduction:  The  purpose  of  this  study  is  to  define  the  optimal  parameters  for  the  tomographic  reconstruction procedure in a routine single photon emission tomography. The Hoffman brain phantom  is modified to evaluate the reconstruction method. The phantom was imaged in a 3 and 2-dimensional  conformation and the results were compared.   Materials  and  Methods:  The  2D  phant...

متن کامل

Tomographic Reconstruction of the Ionospheric Electron Density in term of Wavelets

Ionospheric tomography is a method to investigate the ionospheric electron density in two or three dimensions. In this study, the function-based tomographic technique has been used for regional reconstruction of a 3D tomographic model of the ionospheric electron density using the GPS measurements of the Iranian Permanent GPS Network. Two-dimensional Haar wavelets and empirical orthogonal functi...

متن کامل

Joint-MAP Tomographic Reconstruction with Patch Similarity Based Mixture Prior Model

Tomographic reconstruction from noisy projections do not yield adequate results. Mathematically, this tomographic reconstruction represents an ill-imposed problem due to information missing caused from the presence of noise. Maximum A Posteriori (MAP) or Bayesian reconstruction methods offer possibilities to improve the image quality as compared with analytical methods in particular by introduc...

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 2010