反投影重建二维矢量场的一种数学模型研究  

Reseach on Maths Model of Two_Dimension Vector Field Reconstruction with Inverse Projection

作　　者：王卫锋[1] 韩大建[1] 罗文结[1] 

机构地区：[1]华南理工大学交通学院,广东广州510640

出　　处：《华南理工大学学报（自然科学版）》2000年第2期18-23,共6页Journal of South China University of Technology(Natural Science Edition)

摘　　要：提出一种基于Radon变换的反投影重建法重建二维矢量场的数学模型.对于任意形状的单连域弹性体受荷载作用时,根据给定的边界条件及给定的本构关系,就可以重建体内平面位移场和应力场.对于轴对称问题,只要已知边界条件,就可以重建体内平面位移场.This paper presents a new maths method for vector field reconstruction with inverse projections based on Radon transition. This method can construct displacement and stress field on the basis of the known boundary condition and the known stress_strain relation for arbitrarily single_domain elastic body. It can also reconstruct displacement field for an axially symmetrical object on the basis of the known boundary condition.

关 键 词：重建法 位移场 数学模型 二维问题 

分 类 号：O343.1[理学—固体力学]