发明名称 Method for analyzing an event such as a surgical intervention on a blood vessel
摘要 A method of analyzing an event comprises the steps consisting in: gathering at least one series of measurements of a physical phenomenon associated with the event or likely to be associated therewith; from a predetermined mother wavelet Psi and for at least one value of a predetermined parameter a, determining: the partition function Z(q,a) such that: <maths id="MATH-US-00001" num="00001"> <MATH OVERFLOW="SCROLL"> <MROW> <MROW> <MI>Z</MI> <MO>⁡</MO> <MROW> <MO>(</MO> <MROW> <MI>q</MI> <MO>,</MO> <MI>a</MI> </MROW> <MO>)</MO> </MROW> </MROW> <MO>=</MO> <MROW> <MUNDER> <MO>∑</MO> <MSUB> <MI>b</MI> <MI>i</MI> </MSUB> </MUNDER> <MO>⁢</MO> <MSTYLE> <mspace width="0.3em" height="0.3ex"/> </MSTYLE> <MO>⁢</MO> <MSUP> <MROW> <MO></MO> <MROW> <MROW> <MSUB> <MI>T</MI> <MI>Psi</MI> </MSUB> <MO>⁡</MO> <MROW> <MO>[</MO> <MI>s</MI> <MO>]</MO> </MROW> </MROW> <MO>⁢</MO> <MROW> <MO>(</MO> <MROW> <MSUB> <MI>b</MI> <MI>i</MI> </MSUB> <MO>,</MO> <MI>a</MI> </MROW> <MO>)</MO> </MROW> </MROW> <MO></MO> </MROW> <MI>q</MI> </MSUP> </MROW> </MROW> </MATH> </MATHS> where: s is a signal representing variation in the measurements of the series as a function of a variable; <?in-line-formulae description="In-line Formulae" end="lead"?>T<SUB>Psi</SUB>[s](b,a)=1/a∫ <O OSTYLE="SINGLE">Psi((x-b)/a)s(x)dx <?in-line-formulae description="In-line Formulae" end="tail"?> where <O OSTYLE="SINGLE">Psi is the complex conjugate of the function Psi(x) in an orthonormal base; and {(b<SUB>i</SUB>,a<SUB>i </SUB>is the set of local maxima in T as a function of a; the spectrum of the function tau(q) such that: <?in-line-formulae description="In-line Formulae" end="lead"?>Z(q,a)≈a<SUP>tau(q) </SUP>in the limit a-> 0 <SUP>+</SUP>;<?in-line-formulae description="In-line Formulae" end="tail"?> the spectrum of the function D(h) such that: <maths id="MATH-US-00002" num="00002"> <MATH OVERFLOW="SCROLL"> <MROW> <MROW> <MI>D</MI> <MO>⁡</MO> <MROW> <MO>(</MO> <MI>h</MI> <MO>)</MO> </MROW> </MROW> <MO>=</MO> <MROW> <MUNDER> <MI>min</MI> <MI>q</MI> </MUNDER> <MO>⁢</MO> <MROW> <MO>(</MO> <MROW> <MI>qh</MI> <MO>-</MO> <MROW> <MI>tau</MI> <MO>⁡</MO> <MROW> <MO>(</MO> <MI>q</MI> <MO>)</MO> </MROW> </MROW> </MROW> <MO>)</MO> </MROW> </MROW> </MROW> </MATH> </MATHS> and an index I(a) depending on said spectrum, which index is calculated by means of a predetermined formula; and comparing the index I(a) or an average of indices I(a) with a predetermined threshold.
申请公布号 US7273456(B2) 申请公布日期 2007.09.25
申请号 US20040432435 申请日期 2004.04.02
申请人 UNIVERSITE PARIS 7 - DENIS DIDEROT 发明人 MAY PHILIPPE;VICAUT ERIC;SERVANT JEAN-MARIE
分类号 A61B5/02;A61B5/00;G06F17/00 主分类号 A61B5/02
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