Linear dimension reduction of sequences of medical images: I. Optimal inner products.

Abstract:

:A general theory is presented for minimizing noise in linear dimension reduction of sequences of medical images when the factors and the covariance matrix and mean of the noise are given. A dimension reduction is optimal when all diagonal elements in the covariance matrix of the noise in the signal (factor) space are minimized. This occurs when the noise in the signal space is uncorrelated with the residual noise. Expressions are given for the resulting covariance matrix of the noise in the signal space. Many optimal inner products exist, which all result in the same optimal dimension reduction. Given any pair of inner products for signal space and residual space, a combined inner product exists that is also optimal. If the covariance matrices of the noise in different pixel vectors are not multiples of each other, different pixel vectors may have different optimal inner products. The averaging process in generating images from tomographic projections tends to make the covariance matrices more uniform.

journal_name

Phys Med Biol

authors

Hermansen F,Lammertsma AA

doi

10.1088/0031-9155/40/11/010

subject

Has Abstract

pub_date

1995-11-01 00:00:00

pages

1909-20

issue

11

eissn

0031-9155

issn

1361-6560

journal_volume

40

pub_type

杂志文章
  • Measuring the acoustoelectric interaction constant using ultrasound current source density imaging.

    abstract::Ultrasound current source density imaging (UCSDI) exploits the acoustoelectric (AE) effect, an interaction between ultrasound pressure and electrical resistivity, to map electrical conduction in the heart. The conversion efficiency for UCSDI is determined by the AE interaction constant K, a fundamental property of all...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/57/19/5929

    authors: Li Q,Olafsson R,Ingram P,Wang Z,Witte R

    更新日期:2012-10-07 00:00:00

  • Neutron scattering cross sections and partial kerma values for oxygen, nitrogen and calcium at 18 less than En less than 60 MeV.

    abstract::Recent measurements of differential elastic and inelastic neutron scattering from oxygen, nitrogen and calcium at 18 less than En less than 26 MeV are presented and analysed in terms of the optical model. These data, together with earlier measurements of scattering and total cross sections, are used to construct model...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/33/3/001

    authors: Islam MS,Finlay RW,Petler JS,Rapaport J,Alarcon R,Wierzbicki J

    更新日期:1988-03-01 00:00:00

  • Assessment of organ-specific neutron equivalent doses in proton therapy using computational whole-body age-dependent voxel phantoms.

    abstract::Proton beams used for radiotherapy will produce neutrons when interacting with matter. The purpose of this study was to quantify the equivalent dose to tissue due to secondary neutrons in pediatric and adult patients treated by proton therapy for brain lesions. Assessment of the equivalent dose to organs away from the...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/53/3/012

    authors: Zacharatou Jarlskog C,Lee C,Bolch WE,Xu XG,Paganetti H

    更新日期:2008-02-07 00:00:00

  • Tomographic sensing and localization of fluorescently labeled circulating cells in mice in vivo.

    abstract::Sensing and enumeration of specific types of circulating cells in small animals is an important problem in many areas of biomedical research. Microscopy-based fluorescence in vivo flow cytometry methods have been developed previously, but these are typically limited to sampling of very small blood volumes, so that ver...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/57/14/4627

    authors: Zettergren E,Swamy T,Runnels J,Lin CP,Niedre M

    更新日期:2012-07-21 00:00:00

  • Magnetic resonance electrical property mapping at 21.1 T: a study of conductivity and permittivity in phantoms, ex vivo tissue and in vivo ischemia.

    abstract::Electrical properties (EP), namely conductivity and permittivity, can provide endogenous contrast for tissue characterization. Using electrical property tomography (EPT), maps of EP can be generated from conventional MRI data. This report investigates the feasibility and accuracy of EPT at 21.1 T for multiple RF coils...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/1361-6560/ab3259

    authors: Amouzandeh G,Mentink-Vigier F,Helsper S,Bagdasarian FA,Rosenberg JT,Grant SC

    更新日期:2020-02-28 00:00:00

  • Magnetic separation of iron oxide nanoparticles to improve their application for magnetic particle imaging.

    abstract::Magnetic Particle Imaging (MPI) is a promising medical imaging technique for visualizing the three-dimensional distribution of tracer materials, specifically iron oxide nanoparticles (IONP). The optimization of magnetic nanoparticles (MNP) plays an essential role to improve the image resolution and sensitivity of imag...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/1361-6560/abcd19

    authors: Arsalani S,Loewa N,Kosch O,Radon P,Baffa O,Wiekhorst F

    更新日期:2020-11-23 00:00:00

  • Effect of microscopic modeling of skin in electrical and thermal analysis of transcranial direct current stimulation.

    abstract::Transcranial direct current stimulation (tDCS) is a neuromodulation scheme where a small current is delivered to the brain via two electrodes attached to the scalp. The electrode design is an important topic, not only as regards efficacy, but also from a safety perspective, as tDCS may be related to skin lesions that ...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/1361-6560/61/24/8825

    authors: Gomez-Tames J,Sugiyama Y,Laakso I,Tanaka S,Koyama S,Sadato N,Hirata A

    更新日期:2016-12-21 00:00:00

  • A high-sensitivity small animal SPECT system.

    abstract::Medical imaging using single gamma-ray-emitting radionuclides typically makes use of parallel hole collimators or pinholes in order to achieve good spatial resolution. However, a tradeoff in sensitivity is inherent in the use of a collimator, and modern preclinical single photon emission computed tomography (SPECT) sy...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/54/5/013

    authors: Mitchell GS,Cherry SR

    更新日期:2009-03-07 00:00:00

  • Influence of the surface averaging procedure of the current density in assessing compliance with the ICNIRP low-frequency basic restrictions by means of numerical techniques.

    abstract::Although the calculation of the surface average of the low-frequency current density distribution over a cross-section of 1 cm2 is required by ICNIRP guidelines, no reference averaging algorithm is indicated, neither in the ICNIRP guidelines nor in the Directive 2004/40/EC that is based on them. The lack of a general ...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/54/15/013

    authors: Zoppetti N,Andreuccetti D

    更新日期:2009-08-07 00:00:00

  • Image-based point spread function implementation in a fully 3D OSEM reconstruction algorithm for PET.

    abstract::The interest in positron emission tomography (PET) and particularly in hybrid integrated PET/CT systems has significantly increased in the last few years due to the improved quality of the obtained images. Nevertheless, one of the most important limits of the PET imaging technique is still its poor spatial resolution ...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/55/14/012

    authors: Rapisarda E,Bettinardi V,Thielemans K,Gilardi MC

    更新日期:2010-07-21 00:00:00

  • Long-length tomosynthesis and 3D-2D registration for intraoperative assessment of spine instrumentation.

    abstract:PURPOSE:A system for long-length intraoperative imaging is reported based on longitudinal motion of an O-arm gantry featuring a multi-slot collimator. We assess the utility of long-length tomosynthesis and the geometric accuracy of 3D image registration for surgical guidance and evaluation of long spinal constructs. M...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/1361-6560/abde96

    authors: Zhang X,Uneri A,Wu P,Ketcha MD,Jones C,Huang Y,Lo SL,Helm PA,Siewerdsen JH

    更新日期:2021-01-21 00:00:00

  • A comprehensive study of the use of temporal moments in time-resolved diffuse optical tomography: part I. Theoretical material.

    abstract::The problem of fluorescence diffuse optical tomography consists in localizing fluorescent markers from near-infrared light measurements. Among the different available acquisition modalities, the time-resolved modality is expected to provide measurements of richer information content. To extract this information, the m...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/54/23/004

    authors: Ducros N,Hervé L,Da Silva A,Dinten JM,Peyrin F

    更新日期:2009-12-07 00:00:00

  • Dynamic manipulation of the subharmonic scattering of phospholipid-coated microbubbles.

    abstract::In this paper, the influence of a dynamic variation in the ambient pressure on the subharmonic response of phospholipid-coated microbubbles was investigated. The ambient pressure in water was modulated by a 2.5 kHz acoustic wave with a peak amplitude of 15 kPa. We investigated the fundamental and subharmonic emissions...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/56/19/018

    authors: Faez T,Renaud G,Defontaine M,Calle S,de Jong N

    更新日期:2011-10-07 00:00:00

  • Influence of beam characteristics and detector size in negative-pion dose studies.

    abstract::Dose calculations were performed for a tissue phantom irradiated by uniform circular beams of negative pions with an assumed gaussian momentum distribution. The mean momentum of the pions was varied from 104.4 to 171.5 MeV/c (mean range 5-20 cm in unit-density tissue) and the momentum spread from 0 to 5% of the mean. ...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/24/3/012

    authors: Hamm RN,Wright HA,Turner JE

    更新日期:1979-05-01 00:00:00

  • UWB pulse propagation into human tissues.

    abstract::In this paper the propagation of a UWB pulse into a layered model of the human body is studied to characterize absorption and reflection of the UWB signal due to the different body tissues. Several time behaviours for the incident UWB pulse are considered and compared with reference to the feasibility of breath and he...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/58/24/8689

    authors: Cavagnaro M,Pittella E,Pisa S

    更新日期:2013-12-21 00:00:00

  • Investigation of the sag in linac secondary collimator and MLC carriage during arc deliveries.

    abstract::In modern radiotherapy, it is vitally important to monitor the performance of all linac components including the collimation system. In this study, a simple measurement method and accurate algorithm are introduced for investigation of the secondary and tertiary collimator sag during radiotherapy arc treatments. The me...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/57/12/N209

    authors: Rowshanfarzad P,Sabet M,O'Connor DJ,Greer PB

    更新日期:2012-06-21 00:00:00

  • The dosimetry for a coronary artery stent coated with radioactive 188Re and 32P.

    abstract::Radiation dose distributions have been calculated for 188Re and 32P activity on a coronary artery stent. The doses have been calculated both as a function of position along the stent and of depth into the artery wall. Comparisons of the dose from identical activities of 188Re and 32P on the stent show that the major d...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/45/12/310

    authors: Fox RA,Henson PW

    更新日期:2000-12-01 00:00:00

  • Dynamic beam modulation by using a single computer-controlled absorber.

    abstract::The authors have developed an apparatus able to generate ID intensity-modulated beams, using only one moving absorber within the irradiation field. A procedure for deriving optimized absorber-speed profiles in order to produce the desired fluence/dose profiles has been suggested. Experimental tests show that the syste...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/40/2/002

    authors: Fiorino C,Lev A,Fusca M,Cattaneo GM,Rudello F,Calandrino R

    更新日期:1995-02-01 00:00:00

  • Neural networks-based regularization for large-scale medical image reconstruction.

    abstract::In this paper we present a generalized Deep Learning-based approach for solving ill-posed large-scale inverse problems occuring in medical image reconstruction. Recently, Deep Learning methods using iterative neural networks (NNs) and cascaded NNs have been reported to achieve state-of-the-art results with respect to ...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/1361-6560/ab990e

    authors: Kofler A,Haltmeier M,Schaeffter T,Kachelrieß M,Dewey M,Wald C,Kolbitsch C

    更新日期:2020-07-06 00:00:00

  • The use of the Henyey-Greenstein phase function in Monte Carlo simulations in biomedical optics.

    abstract::Monte Carlo (MC) simulations are often at the heart of the testing procedure in biomedical optics. One of the critical points in MC simulations is to define the new photon direction after each scattering event. One of the most popular solutions is to use the Henyey-Greenstein phase function or some linear combinations...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/51/17/N04

    authors: Binzoni T,Leung TS,Gandjbakhche AH,Rüfenacht D,Delpy DT

    更新日期:2006-09-07 00:00:00

  • Dosimetric evaluation of a 2D pixel ionization chamber for implementation in clinical routine.

    abstract::In this paper we present the results of a dosimetric evaluation of a 2D ionization chamber array with the objective of its implementation for quality assurance in clinical routine. The pixel ionization chamber MatriXX (Scanditronix Wellhofer, Germany) consists of 32x32 chambers with a distance of 7.6 mm between chambe...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/52/4/023

    authors: Herzen J,Todorovic M,Cremers F,Platz V,Albers D,Bartels A,Schmidt R

    更新日期:2007-02-21 00:00:00

  • Feasibility of polymer gel-based measurements of radiation isocenter accuracy in magnetic fields.

    abstract::For conventional irradiation devices, the radiation isocenter accuracy is determined by star shot measurements on films. In magnetic resonance (MR)-guided radiotherapy devices, the results of this test may be altered by the magnetic field and the need to align the radiation and imaging isocenter may require a modifica...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/1361-6560/aac228

    authors: Dorsch S,Mann P,Lang C,Haering P,Runz A,Karger CP

    更新日期:2018-05-29 00:00:00

  • Implementation of tetrahedral-mesh geometry in Monte Carlo radiation transport code PHITS.

    abstract::A new function to treat tetrahedral-mesh geometry was implemented in the particle and heavy ion transport code systems. To accelerate the computational speed in the transport process, an original algorithm was introduced to initially prepare decomposition maps for the container box of the tetrahedral-mesh geometry. Th...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/1361-6560/aa6b45

    authors: Furuta T,Sato T,Han MC,Yeom YS,Kim CH,Brown JL,Bolch WE

    更新日期:2017-06-21 00:00:00

  • CT reconstruction algorithm for a dental panoramic x-ray unit.

    abstract::A variable Jacobian and weighted backprojection algorithm, used for medical CT, was adapted to perform CT reconstructions on data obtained with a dental panoramic x-ray unit. A detector array, fitted to the unit for the purpose of acquiring digital panoramic radiographs, was used to collect the data. Compensations wer...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/37/12/001

    authors: Lee MD,Waggener RG,McDavid WD,Dove SB,Welander U,Tronje G

    更新日期:1992-12-01 00:00:00

  • X-ray beam filtration, dosimetry phantom size and CT patient dose conversion factors.

    abstract::We examine how the choice of CT x-ray beam filtration and phantom size influences patient dose (D) to computed tomography dose index (CTDI) conversion factors (i.e. D/CTDI). The ratio of head to body phantom CTDI(w) for a defined scan technique is alpha, and the ratio of organ dose when the body filter is changed to t...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/55/2/014

    authors: Huda W,Sterzik A,Tipnis S

    更新日期:2010-01-21 00:00:00

  • Application of a CCD linear array camera in the quantification of tissue staining: NBT detection in ischaemic myocardium.

    abstract::A method was developed to quantify the intensity of tissue staining using a CCD (charge-coupled device) camera. Reflection spectra of NBT-stained (nitro-blue tetrazolium-stained) and unstained myocardium were recorded via fibre optics coupled to a CCD camera, connected to a microcomputer. The calculation of the intens...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/36/6/007

    authors: Schröder T,Koch G,Schnabel PA,Hering JP,Bretschneider HJ,Richter J,Hellige G

    更新日期:1991-06-01 00:00:00

  • Segmentation and classification of thyroid follicular neoplasm using cascaded convolutional neural network.

    abstract::In this paper, we present a segmentation and classification method for thyroid follicular neoplasms based on a combination of the prior-based level set method and deep convolutional neural network. The proposed method aims to discriminate thyroid follicular adenoma (TFA) and follicular thyroid carcinoma (FTC) in ultra...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/1361-6560/abc6f2

    authors: Yang B,Yan M,Yan Z,Zhu C,Xu D,Dong F

    更新日期:2020-11-02 00:00:00

  • Image domain multi-material decomposition using single energy CT.

    abstract::Multi-material decomposition (MMD) technique decomposes the CT images into basis material images and has been promising in clinical practice for material composition quantification within the human body. MMD could be implemented using the image data acquired from spectral CT or its special case, dual-energy CT (DECT) ...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/1361-6560/ab7503

    authors: Xue Y,Luo C,Jiang Y,Yang P,Hu X,Zhou Q,Wang J,Hu X,Sheng K,Niu T

    更新日期:2020-03-23 00:00:00

  • A rigid motion correction method for helical computed tomography (CT).

    abstract::We propose a method to compensate for six degree-of-freedom rigid motion in helical CT of the head. The method is demonstrated in simulations and in helical scans performed on a 16-slice CT scanner. Scans of a Hoffman brain phantom were acquired while an optical motion tracking system recorded the motion of the bed an...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/60/5/2047

    authors: Kim JH,Nuyts J,Kyme A,Kuncic Z,Fulton R

    更新日期:2015-03-07 00:00:00

  • Examination of errors caused by random summing in in vivo prompt gamma ray analysis.

    abstract::A technique is described for examining the mode of operation of radiation detectors and estimating the losses and gains caused by random summing effects in spectra acquired at high counting rates. The technique is applied to estimating the errors caused by random summing when measuring the amounts of carbon and nitrog...

    journal_title:Physics in medicine and biology

    pub_type: 杂志文章

    doi:10.1088/0031-9155/34/8/010

    authors: Yankuba S,Oldroyd B,Metcalfe SC,Godfrey JE,Oxby CB

    更新日期:1989-08-01 00:00:00