Multigrid Convergence of Surface Approximations

This report deals with multigrid approximations of surfaces. Surface area and volume approximations are discussed for regular grids (3D objects), and surface reconstruction for irregular grids (terrain surfaces). Convergence analysis and approximation error calculations are emphasized. 1 CITR, Tamaki Campus, University Of Auckland, Auckland, New Zealand Multigrid convergence of surface approximations Reinhard Klette, Feng Wu and Shao-zheng Zhou Department of Computer Science, The University of Auckland CITR, Tamaki Campus Private Bag 92019, Auckland, New Zealand Abstract: This report deals with multigrid approximations of surfaces. Surface area and volume approximations are discussed for regular grids (3D objects), and surface reconstruction for irregular grids (terrain surfaces). Convergence analysis and approximation error calculations are emphasized. This report deals with multigrid approximations of surfaces. Surface area and volume approximations are discussed for regular grids (3D objects), and surface reconstruction for irregular grids (terrain surfaces). Convergence analysis and approximation error calculations are emphasized.