CT理论与应用研究
CT理論與應用研究
CT이론여응용연구
COMPUTERIZED TOMOGRAPHY THEORY AND APPLICATIONS
2013年
2期
237-244
,共8页
图像重建%代数迭代%计算点离散化模型%分形校正单元%Hilbert曲线
圖像重建%代數迭代%計算點離散化模型%分形校正單元%Hilbert麯線
도상중건%대수질대%계산점리산화모형%분형교정단원%Hilbert곡선
image reconstruction%iterative algorithm%calculating point discrete model%fractal corrector%Hilbert curve
本文在计算点图像重建离散化模型的代数迭代算法中,引入分形校正单元构造迭代校正逼近.本文选取 Hilbert 曲线的最小开口方向作为校正单元连成折线来覆盖投影射线,由校正单元构成的近似曲线具有自相似结构.Hilbert曲线对计算点的投影衰减贡献的几何、物理意义清楚明确.通过加密计算点,由基本校正单元表达的线积分更为逼近地近似投影射线的线积分.分形结构的自相似性可以充分用于迭代校正的计算,形成统一的计算模板,利用几何结构的对称性,加快计算速度、提高成像精度.这一方法可以推广到三维成像模型,内容丰富.
本文在計算點圖像重建離散化模型的代數迭代算法中,引入分形校正單元構造迭代校正逼近.本文選取 Hilbert 麯線的最小開口方嚮作為校正單元連成摺線來覆蓋投影射線,由校正單元構成的近似麯線具有自相似結構.Hilbert麯線對計算點的投影衰減貢獻的幾何、物理意義清楚明確.通過加密計算點,由基本校正單元錶達的線積分更為逼近地近似投影射線的線積分.分形結構的自相似性可以充分用于迭代校正的計算,形成統一的計算模闆,利用幾何結構的對稱性,加快計算速度、提高成像精度.這一方法可以推廣到三維成像模型,內容豐富.
본문재계산점도상중건리산화모형적대수질대산법중,인입분형교정단원구조질대교정핍근.본문선취 Hilbert 곡선적최소개구방향작위교정단원련성절선래복개투영사선,유교정단원구성적근사곡선구유자상사결구.Hilbert곡선대계산점적투영쇠감공헌적궤하、물리의의청초명학.통과가밀계산점,유기본교정단원표체적선적분경위핍근지근사투영사선적선적분.분형결구적자상사성가이충분용우질대교정적계산,형성통일적계산모판,이용궤하결구적대칭성,가쾌계산속도、제고성상정도.저일방법가이추엄도삼유성상모형,내용봉부.
We introduce fractal corrector in the iterative algorithm for image reconstruction based on calculating points discrete model. The projection line is surrounded by a self-similar string formed by the Hilbert curve units. The Hilbert curve unit’s attenuation weight to projection has clear geometrical meaning as well as physical meaning. The line integral of projection is approximated accurately by compacting the calculating points. The Hilbert curve unit is an effective corrector in improving the algorithm since the uniform templates are formed by the self-similarity of fractal structure. In addition, the symmetry of the model could be used to accelerate the computing speed as well as to improve the imaging precision.
