﻿

# Reconstruction algorithm

In tomography, a variety of practical reconstruction algorithms have been developed to implement the process of reconstruction of a 3-dimensional object from its projections. These algorithms are designed largely based on the mathematics of the radon transform, statistical knowledge of the data acquisition process and geometry of the data imaging system. In medical tomography, the filtered back projection algorithm and its variants are the most efficient algorithms currently in use.

ee also

*Tomographic reconstruction
*Computed tomography
*Positron emission tomography
*SPECT
*Discrete tomography

Wikimedia Foundation. 2010.

### Look at other dictionaries:

• Reconstruction — NOTOC Reconstruction may refer to:Politics, history and sociology*Postwar reconstruction. **Reconstruction era of the United States, the period between 1865 to 1877 when the US government focused on resolving the consequences and aftermath of the …   Wikipedia

• Reconstruction filter — In a mixed signal system (analog and digital), a reconstruction filter (or anti imaging filter) is used to construct a smooth analogue signal from the output of a digital to analogue converter (DAC) or other sampled data output device.ampled data …   Wikipedia

• algorithm — A systematic process consisting of an ordered sequence of steps, each step depending on the outcome of the previous one. In clinical medicine, a step by step protocol for management of a health care problem …   Medical dictionary

• algorithm — n. a sequential set of instructions used in calculations or problem solving. A reconstruction algorithm is a complex mathematical formula used by a computer to construct images from the data acquired by CT, MRI, or other scanners. A diagnostic… …   The new mediacal dictionary

• Difference-map algorithm — Iterations 0, 100, 200, 300 and 400 in the difference map reconstruction of a grayscale image from its Fourier transform modulus The difference map algorithm is a search algorithm for general constraint satisfaction problems. It is a meta… …   Wikipedia

• Signal reconstruction — In signal processing, reconstruction usually means the determination of an original continuous signal from a sequence of equally spaced samples.This article takes a generalized abstract mathematical approach to signal sampling and reconstruction …   Wikipedia

• Expectation-maximization algorithm — An expectation maximization (EM) algorithm is used in statistics for finding maximum likelihood estimates of parameters in probabilistic models, where the model depends on unobserved latent variables. EM alternates between performing an… …   Wikipedia

• Difference map algorithm — The difference map algorithm is a search algorithm for general constraint satisfaction problems. It is a meta algorithm in the sense that it is built from more basic algorithms that perform projections onto constraint sets. From a mathematical… …   Wikipedia

• CARET (Computerized Anatomical Reconstruction and Editing Toolkit) — CARET (Computerized Anatomical Reconstruction Toolkit) is a software application for the structural and functional analysis of the cerebral and cerebellar cortex. CARET is developed in the Van Essen Laboratory in the Department of Anatomy and… …   Wikipedia

• Iterative reconstruction — is a method or group of algorithms used to reconstruct 2D and 3D images from the projections of an object. The technique differs greatly from the more ubiquitous filtered back projection (FBP) method. In X ray computed tomography, this method is… …   Wikipedia