Japanese
Titleコーデット・アパーチャ・イメージングにおける信号対雑音比と雑音の性質
Subtitle原著
Authors田中栄一*, 飯沼武**
Authors(kana)
Organization*放射線医学総合研究所 物理研究部, **臨床研究部
Journal核医学
Volume13
Number2
Page95-102
Year/Month1976/4
Article原著
Publisher日本核医学会
Abstract「1. 緒言」近年, 核医学におけるRIイメージングにおいてコーデット・アパーチャ・イメージング(coded aperture imaging)と称する方法が注目され, 多くの研究グループが活発に研究を進めている. この方法では, まず従来のピンホール・コリメータまたは平行多孔コリメータの代りに, 特殊なパターンのアパーチャを有する鉛板を被写体(患者)とイメージ検出器の間に置いてイメージを測定する. 得られたイメージは真のRIイメージを上記のパターンでコーディング(coding)したものとなり, そのままでは人間の眼では一般に判別できないので, 適当な方法でデコーディング(decoding)して真のRI分布に近いイメージに復元する必要がある. 現在, おもに用いられているアパーチャはフレネル・ゾーンプレート(Fresnel zone plate), ランダム・マルチ・ピンホール, 疑似ランダム・マルチ・ピンホール, 円形スリット等で, なかにはアパーチャを移動しながら測定する時間変調型のものもある.
Practice臨床医学:一般
Keywords
English
TitleSignal to Noise Ratio and Noise Characteristics in Coded Aperture Imaging
SubtitleOriginal Articles
AuthorsEiichi TANAKA, Takeshi IINUMA
Authors(kana)
OrganizationNational Institute Radiological Sciences
JournalThe Japanese Journal of nuclear medicine
Volume13
Number2
Page95-102
Year/Month1976/4
ArticleOriginal article
PublisherTHE JAPANESE SOCIETY OF NUCLEAR MEDICINE
Abstract[Summary] This paper presents a general method of image decoding for an arbitrary time-modulated aperture and the formulation of the noise characteristics in the decoded images. The first step of image formation is to construct a "shadow image" which is formed by accumulating the shadow of the aperture onto the object plane from each point of detection. The shadow image is further processed by a correction function, h(x, y), to yield a final image which has a point spread function, p(x, y). Then, we have : p(x, y)=j(x, y, y)*j(-x, -y, t)*h(x, y) where j(x, y, t) is the aperture function defined at the object plane, *denotes the convolution operation and - indicates the time-averaging. The auto-covariance function of noise for a locally uniform image is given by : Cov(x, y)=nB[p(x, y)*h(x, y] where nB is the count density. The variance of the noise is equal to Cov(0, 0). Assuming a constant aperture area, the signal to noise ratio in detecting a small lesion in a uniform large organ is proportional to the "figure of merit" given by : F=[A/∬p(x, y)h(x, y)dxdy]1/2 where A is the area of the shadow of the aperture onto the object plane. An analysis has been made to find an aperture yielding a large F-value. It is concluded, however, that no coded aperture has a larger F-value than that of the optimum pinhole for a given spatial resolution, and that a suitable coded aperture would provide an image having different noise characteristics which may yield a larger F-value over a certain range of resolution than a pinhole. Such a coded aperture may be expected to be suitable for observing an image with various resolution by modifying the processing function.
PracticeClinical medicine
Keywords

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