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Department of Radiology, Brigham and Women's Hospital
Harvard Medical School

II. Unsharpness

Unsharpness and resolution refer to the degree of blurring along the boundaries between different regions of the image (usually defined by different patient organs or, in nuclear medicine, different radiopharmaceutical uptake distributions):

diagram

Methods for measuring the resolution of an imaging system

A. Resolving Power

Use two point sources of the isotope to be imaged:

diagram

Move the sources toward each other and measure the separation at which the images of the two points cannot be distinguished.

diagram

Note that the images will blur together completely at a separation approximately equal to the full-width at half maximum (FWHM) of the image of the point.

When the resolution is specified as a single number, that number is usually the FWHM of the point-source image.

B. Point-Spread Function (PSF)

The multidimensional image of a point source (2D for planar imaging, 3D for tomographic SPECT or PET imaging):

diagram

C. Line-Spread Function (LSF)

The 1D response of an imaging system perpendicular to an infinitely long line source (the convolution of the PSF with an infinite line):

diagram

D. Edge-Response Function (ERF)

The 1D response of an imaging system perpendicular to a straight boundary between two infinitely long regions (the convolution of the LSF with a step function):

diagram

E. Modulation Transfer Function (MTF)

The fidelity with which object information is transferred to the image as a function of spatial frequency in the object. Calculate the MTF as the Fourier transform of the PSF. Or, measure the MTF by imaging bar patterns of different spatial frequencies:

diagram

F. Factors degrading spatial resolution

1. Collimator Resolution

Collimator resolution is typically 0.8 -> 2.5 cm FWHM in a patient and worsens with distance from collimator:

diagram

2. Intrinsic Resolution

A gamma camera's intrinsic resolution is about 0.3-0.5 cm FWHM.

3. Scatter of Photons in Patient and Other Materials Before Being Detected

Scatter of photons in a patient primarily affects the shape of the long "tails" on a realistic system PSF:

diagram

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Return to beginning page: Physical Characteristics of Nuclear Medicine Images


Lesson Author: Stephen C Moore, PhD, scmoore@bwh.harvard.edu

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Updated May 3, 2001