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To correctly measure heavy ion’s TOF with PIN diodes it is necessary to account for the so-called plasma delay effect (PDE) which is due to generation of plasma in a heavy ion track in the PIN diode. Because of the PDE, the signal from PIN diode could be described as a slowly growing function of unknown form that changes into a nearly linear function. The start of the signal is also obstructed by background noise. It is possible account for PDE by using method developed in [1], but this procedure may not correctly work for small masses and energies. We developed an alternative method by finding an actual beginning of the signal. It is done by approximating its initial part that lies inside the “noise track” by parabolic curve which vertex lies on the average of the noise and serves as the “true” signal’s start. The first realization of this idea was Parab algorithm which used only parabolic function for interpolation of the signal’s noisy region. To increase a robustness of the algorithm against a choice of region for parabola interpolation, Parab was followed by Parablin which seamlessly sewed parabola with a linear function that approximated points of the rising edge of the signal lying above the noisy region. Main drawback - the need to manually choose points for linear function approximation. To further increase robustness of the method, we propose Paraspline algorithm which describes the initial part of the signal by parabola, seamlessly sewed with a spline that automatically approximates points above the noisy region, without user interference.