Surface Reconstruction and Image Enhancement via $L^1$-Minimization

A surface reconstruction technique based on minimization of the total variation of the gradient is introduced. Convergence of the method is established, and an interior-point algorithm solving the associated linear programming problem is introduced. The reconstruction algorithm is illustrated on various test cases including natural and urban terrain data, and enhancement oflow-resolution or aliased images. Copyright © by SIAM.

Surface Reconstruction and Image Enhancement via $L^1$-Minimization Academic Article