Method for determining a movement of at least one reference point of a piece of infrastructure, which is referred to as the object, during an event, an event being defined by the fact that the acceleration of the reference point of the object is zero for a predefined time before and after the event, in which - temporal profiles of the accelerations in at least one predefined direction are measured synchronously with a plurality of measuring sensors associated with a plurality of reference points, the temporal profiles of the accelerations being processed so as to remove a static and/or geometric component, characterized in that: - coefficients of first and second parameterizable functions are determined, said first parameterizable functions being decreasing exponential functions and said second parameterizable functions being polynomial functions or periodic sine or cosine functions, said first and second parameterizable functions making it possible to reconstruct the temporal profile of the accelerations in the form of the convolution of an excitation source and of a sum of products of first and second functions parameterizable by coefficients, each of the first and second parameterizable functions the product of which possesses an analytical double-integration solution and the first functions containing damping factors, - based on the analytical double-integration solution of the convolution between the source and the sum of products of first and second parameterizable functions and of the determined coefficients of the first and second functions, the movement of the reference points of said object in at least the predefined direction in time during an event is determined in order to determine degradation of said piece of infrastructure. - temporal profiles of the accelerations in at least one predefined direction are measured synchronously with a plurality of measuring sensors associated with a plurality of reference points, the temporal profiles of the accelerations being processed so as to remove a static and/or geometric component, - coefficients of first and second parameterizable functions are determined, said first parameterizable functions being decreasing exponential functions and said second parameterizable functions being polynomial functions or periodic sine or cosine functions, said first and second parameterizable functions making it possible to reconstruct the temporal profile of the accelerations in the form of the convolution of an excitation source and of a sum of products of first and second functions parameterizable by coefficients, each of the first and second parameterizable functions the product of which possesses an analytical double-integration solution and the first functions containing damping factors, - based on the analytical double-integration solution of the convolution between the source and the sum of products of first and second parameterizable functions and of the determined coefficients of the first and second functions, the movement of the reference points of said object in at least the predefined direction in time during an event is determined in order to determine degradation of said piece of infrastructure.