Abstract: A method for determining the nature of the radioelements present in an object and their activity comprises at least the following steps: a first phase of numerical simulation of spectrometric responses for an incident-energy set E and a measured-output-energy set E?, so as to obtain a simulated-data set, a second phase of non-parametric regression on the simulated data, non-parametric estimation of the quantity representing the joint probability of the triplets (E,E?,y) on the basis of simulated points (Ei,Ei?,yij) so as to deduce therefrom a meta-model S(E, E?) for any energy pair (E, E?) on a continuous function, on the basis of the meta-model S(E, E?), the determination of the nature and activity of the radioelements present in the object.

Abstract: A method for determining functional volumes for the search for kinetics representing the trend of concentration of a radioactive tracer in an area of biological tissue, being applied to spatial components comprises the following steps applied iteratively according to a Markov chain Monte-Carlo scheme: generation of a set K0? made up of a set of candidate kinetics associated with values of probability of appearance, depending on the concentration ? of radioactive tracer; a labeling step during which, for each spatial component of index K, the probabilities of selection of the kinetics of the set K0? are weighted by introducing a function ?k representative of the concentration of radioactive tracer in this component to obtain a set of indicative values, an indicative value Dk designating the kinetic with which the spatial component K is associated; construction of functional volumes, a functional volume VFj made up of the set of spatial components which share the same indicative value Dk.

Abstract: A method for analyzing spectrometric measurements, said measurements C={c1, . . . , cr} being organized in a histogram, said histogram being made up of accumulation channels, a channel j corresponding to an energy interval Bj, comprises at least three processing steps. A first step determines, for each accumulation channel j, distributions p representative of the amplitude and Z representative of the position of the Dirac pulses that make up the normalized spectrum of peaks as well as distributions q representative of the Pólya tree characterizing the normalized background spectrum, said elements being obtained by Gibbs sampling. A second step detects significant channels, said detection being performed by application of a Kolmogorov-Smirnov test for each accumulation channel of the histogram on the basis of the results of the first step.

Abstract: The invention proposes a method of processing a noisy digital time signal yk corresponding to an initial time signal xt after having been conditioned by a conditioning chain, the said initial signal xt representing information about radiations coming from a radiation source, these radiations having an energy distribution, characterised in that a state model is implemented, representing the conditioning imposed by the said chain to pass from the initial time signal xt to the noisy digital time signal yk in order to obtain from the noisy digital time signal yk a non-noisy digital estimate signal of the initial time signal xt. The invention furthermore proposes a system capable of implementing said method.

Abstract: The invention relates to a method of measurement, comprising treatment of a signal consisting of a succession of temporally spaced main pulses, having a duration D and energy E, which can each consist of a stack of elementary pulses having a duration Di and whose energy is evaluated by a variable Ei having an additivity property, wherein said elementary pulses have instants of appearance Ti following a homogeneous Poisson process of an intensity ?, characterized in that said method comprises the following steps: digitization of the signal; measurement of the duration D and energy E for each main pulse in order to create duration-energy pairs (D,E); determination of the energy pairs (Di,Ei) of the elementary pulses from the constructed pairs (D, E); deduction of energy Ei of each elementary pulse from the determined pairs (Di,Ei). The invention also relates to a signal analysis device comprising means which can implement the method according to the invention.

Abstract: The invention relates to a method of measurement, comprising treatment of a signal consisting of a succession of temporally spaced main pulses, having a duration D and energy E, which can each consist of a stack of elementary pulses having a duration Di and whose energy is evaluated by a variable Ei having an additivity property, wherein said elementary pulses have instants of appearance Ti following a homogeneous Poisson process of an intensity ?, characterized in that said method comprises the following steps: digitization of the signal; measurement of the duration D and energy E for each main pulse in order to create duration-energy pairs (D,E); determination of the energy pairs (Di,Ei) of the elementary pulses from the constructed pairs (D, E); deduction of energy Ei of each elementary pulse from the determined pairs (Di,Ei). The invention also relates to a signal analysis device comprising means which can implement the method according to the invention.

Abstract: The invention proposes a method of processing a noisy digital time signal yk corresponding to an initial time signal xt after having been conditioned by a conditioning chain, the said initial signal xt representing information about radiations coming from a radiation source, these radiations having an energy distribution, characterised in that a state model is implemented, representing the conditioning imposed by the said chain to pass from the initial time signal xt to the noisy digital time signal yk in order to obtain from the noisy digital time signal yk a non-noisy digital estimate signal of the initial time signal xt. The invention furthermore proposes a system capable of implementing said method.