Soot particles, harmful to health and environment, require reduction in green energy efforts. Their complex characterization, especially in sizing, uses angular light scattering for detailed, non-intrusive analysis. However, post-processing errors and signal trapping effect affect accuracy. This study introduces a noise-free Abel inversion method using spline functions to correct these errors, applicable to all flame types. Tested on an academic ethylene flame, it improves soot aggregate measurements, offering robust gyration radius and forward scattering estimations while addressing trapping effects.