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Titolo:
LINEAR DIMENSION REDUCTION OF SEQUENCES OF MEDICAL IMAGES .1. OPTIMALINNER PRODUCTS
Autore:
HERMANSEN F; LAMMERTSMA AA;
Indirizzi:
HAMMERSMITH HOSP,ROYAL POSTGRAD MED SCH,MRC,CTR CLIN SCI,CYCLOTRON UNIT,PET,METHODOL GRP LONDON W12 0HS ENGLAND HAMMERSMITH HOSP,ROYAL POSTGRAD MED SCH,MRC,CTR CLIN SCI,CYCLOTRON UNIT,PET,CARDIOL GRP LONDON W12 0HS ENGLAND
Titolo Testata:
Physics in medicine and biology
fascicolo: 11, volume: 40, anno: 1995,
pagine: 1909 - 1920
SICI:
0031-9155(1995)40:11<1909:LDROSO>2.0.ZU;2-V
Fonte:
ISI
Lingua:
ENG
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Science Citation Index Expanded
Citazioni:
12
Recensione:
Indirizzi per estratti:
Citazione:
F. Hermansen e A.A. Lammertsma, "LINEAR DIMENSION REDUCTION OF SEQUENCES OF MEDICAL IMAGES .1. OPTIMALINNER PRODUCTS", Physics in medicine and biology, 40(11), 1995, pp. 1909-1920

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 reductionis optimal when all diagonal elements in the covariance matrix of thenoise 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 indifferent 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 makethe covariance matrices more uniform.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 20/09/20 alle ore 04:19:22