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


  • 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.

published proceedings

  • SIAM Journal on Scientific Computing

author list (cited authors)

  • Dobrev, V., Guermond, J., & Popov, B.

citation count

  • 6

complete list of authors

  • Dobrev, Veselin||Guermond, Jean-Luc||Popov, Bojan

publication date

  • January 2010