A Method for Solving LiDAR Waveform Decomposition Parameters Based on a Variable Projection Algorithm

Algorithm 1

Parameter optimization process of the LM_VP method.

	Step 1: for initial values for , set , threshold value , and ; the maximum number of iterations is 100.
	Step 2: compute and using equation (14) and (23), respectively.
	Step 3: compute the iteration length using the Armijo criterion and the iteration direction .
	Step 4: adjust according to and then compute using the LM algorithm iteration, i.e., equation (10).
	Step 5: compute according to the variable projection algorithm.
	Step 6: if , stop. Else, and go to step (3).