Convergence of Slice-Based Block Coordinate Descent Algorithm for Convolutional Sparse Coding

Algorithm 1

Multilayer LoBCoD.

	Input: signal , dictionary , initial needles
	Output: needles
	Initialization:
	while not converged do
	k = k + 1
	fordo
	fordo
	Compute the local residual:
	Find the local sparse code:
	Update the convolutional sparse code:
	Update the layer residual:
	end
	end
	end