| 摘要 |
A method of reconstructing an image includes substantially minimizing a cost function of the form <maths id="MATH-US-00001" num="00001"> <MATH OVERFLOW="SCROLL"> <MROW> <MROW> <MOVER> <MI>x</MI> <MO>^</MO> </MOVER> <MO>=</MO> <MROW> <MI>arg</MI> <MO></MO> <MSTYLE> <mspace width="0.3em" height="0.3ex"/> </MSTYLE> <MO></MO> <MROW> <MUNDER> <MI>min</MI> <MI>x</MI> </MUNDER> <MO></MO> <MROW> <MO>{</MO> <MROW> <MROW> <MUNDEROVER> <MO>∑</MO> <MROW> <MI>m</MI> <MO>=</MO> <MN>0</MN> </MROW> <MI>M</MI> </MUNDEROVER> <MO></MO> <MSTYLE> <mspace width="0.3em" height="0.3ex"/> </MSTYLE> <MO></MO> <MROW> <MSUB> <MI>D</MI> <MI>m</MI> </MSUB> <MO></MO> <MROW> <MO>(</MO> <MROW> <MSUB> <MI>y</MI> <MI>m</MI> </MSUB> <MO>,</MO> <MROW> <MSUB> <MI>F</MI> <MI>m</MI> </MSUB> <MO></MO> <MROW> <MO>(</MO> <MI>x</MI> <MO>)</MO> </MROW> </MROW> </MROW> <MO>)</MO> </MROW> </MROW> </MROW> <MO>+</MO> <MROW> <MI>S</MI> <MO></MO> <MROW> <MO>(</MO> <MI>x</MI> <MO>)</MO> </MROW> </MROW> </MROW> <MO>}</MO> </MROW> </MROW> </MROW> </MROW> <MO>,</MO> </MROW> </MATH> </MATHS> where x is the value of x which achieves the minimum summation, y<SUB>m </SUB>is an integral projection, F<SUB>m</SUB>(x) is an forward projection function, and S(x) is a stabilizing function, to obtain x, and using the obtained x to perform a multislice Computed Tomography (CT) reconstruction to generate an image.
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