Applying Weierstrass Approximation Theorem for Trigonometric Polynomials to Limited-View Tomographic Image Reconstruction

朱杨明; 庄天戈; 韦钰

您当前的位置：

首页 >

文章列表页 >

Applying Weierstrass Approximation Theorem for Trigonometric Polynomials to Limited-View Tomographic Image Reconstruction

更新时间：2025-12-08

- Applying Weierstrass Approximation Theorem for Trigonometric Polynomials to Limited-View Tomographic Image Reconstruction
- Acta Electronica Sinica Issue 1, (1994)
- 作者机构：
  
  1. 东南大学生物医学系
  2. 上海交通大学生物医学系
  3. 东南大学生物医学系上海交通大学生物医学系
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP391.41
- Published：1994
- 稿件说明：
移动端阅览
[1]朱杨明,庄天戈,韦钰.用逼近定理解决有限角图象重建问题[J].电子学报,1994(01):26-31.

朱杨明, 庄天戈, 韦钰. Applying Weierstrass Approximation Theorem for Trigonometric Polynomials to Limited-View Tomographic Image Reconstruction[J]. Acta Electronica Sinica, 1994, (1).
[1]朱杨明,庄天戈,韦钰.用逼近定理解决有限角图象重建问题[J].电子学报,1994(01):26-31. DOI：

朱杨明, 庄天戈, 韦钰. Applying Weierstrass Approximation Theorem for Trigonometric Polynomials to Limited-View Tomographic Image Reconstruction[J]. Acta Electronica Sinica, 1994, (1). DOI：

摘要

本文提出了有限角图象重建的新方法．Ｗｅｉｅｒｓｔｒａｓｓ三角多项式逼近定理用来估计缺失角外的投影数据，补全投影数据后再用常用的滤波反投影算法重建图象．文章给出并证明了投影值函数连续的一个充分条件，把该方法与已有的方法作了比较，说明了它的优良性能和应用前景。

Abstract

A new method for limited-view tomographic image reconstruction is presented here. Weierstrass approximation theorem for trigonmetric polynomials is used to estmate the missing data. After the set of projection data is completed

image recoestructionriedcarried out by the filtered back-projection method.the performance of the proposed method is illustrated by examples.

关键词

Keywords

references

Views

105

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Methods for Improving the Solution Stability in the Reconstruction of Inhomogeneous Media

Research on Prediction Model of Steelmaking End Point Based on LWOA and LSSVM

Binocular Scene Flow Estimation Based on Semantic Segmentation

Related Author

Nie Zaiping

聂在平

漆兰芬

ZHENG Wei-di

LI Zhi-gang

JIA Han-zhong

GAO Chuang

CHEN Zhen

Related Institution

University of Electronic Science and Technology of China, Chengdu 610054)Zhang Yerong,Qi Lanfen

430074

电子科技大学!成都

610054

College of Electronics and Information Engineering, University of Science and Technology Liaoning

⁰