A modified uniform Cramer-Rao bound for multiple pinhole aperture design

IEEE Transactions on Medical Imaging
L J Meng, N H Clinthorne

Abstract

This paper presents a modified Uniform Cramer-Rao bound (UCRB) for studying estimator spatial resolution and variance tradeoffs. We proposed to use a resolution constraint that is imposed on mean gradient vectors of achieved estimators and derived the minimum achievable variance for any estimator satisfies this resolution constraint. This approach partially overcomes the limitations of the former UCRB approach based on a bias-gradient norm constraint. We applied this method in a feasibility study of using multiple pinhole apertures for small animal SPECT imaging applications. The SPECT system studied was based on an existing gamma camera. The achievable spatial resolution and variance tradeoffs for systems with different design parameters, such as number of pinholes and pinhole size, were studied.

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Citations

Jun 13, 2009·Molecular Imaging and Biology : MIB : the Official Publication of the Academy of Molecular Imaging·Scott D MetzlerBennett B Chin
Apr 17, 2013·Physics in Medicine and Biology·L J Meng, N Li
Dec 7, 2013·Theranostics·Joyita DuttaQuanzheng Li
Feb 19, 2005·Current Cardiology Reports·Lawrence W Dobrucki, Albert J Sinusas
Feb 14, 2008·IEEE Transactions on Medical Imaging·K VunckxJ Nuyts
Aug 30, 2008·IEEE Transactions on Medical Imaging·David S Lalush
Jan 10, 2012·IEEE Transactions on Nuclear Science·L J MengP J La Riviere
Jan 24, 2007·Current Opinion in Biotechnology·Lawrence W Dobrucki, Albert J Sinusas
Mar 22, 2008·Physics in Medicine and Biology·Roel Van HolenIgnace Lemahieu
Nov 30, 2019·Scientific Reports·Nati AharonZohar Ringel
Apr 5, 2013·Physics in Medicine and Biology·Marc A N KorevaarFreek J Beekman

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