TY - EJOU AU - Ren, Jiayu AU - Fujita, Yoshihisa AU - Nakata, Susumu TI - Interactive Restoration of Three-Dimensional Implicit Surface with Irregular Parts T2 - Computer Modeling in Engineering \& Sciences PY - 2023 VL - 136 IS - 3 SN - 1526-1506 AB - Implicit surface generation based on the interpolation of surface points is one of the well-known modeling methods in the area of computer graphics. Several methods for the implicit surface reconstruction from surface points have been proposed on the basis of radial basis functions, a weighted sum of local functions, splines, wavelets, and combinations of them. However, if the surface points contain errors or are sparsely distributed, irregular components, such as curvature-shaped redundant bulges and unexpectedly generated high-frequency components, are commonly seen. This paper presents a framework for restoring irregular components generated on and around surfaces. Users are assumed to specify local masks that cover irregular components and parameters that determine the degree of restoration. The algorithm in this paper removes the defects based on the user-specific masks and parameters. Experiments have shown that the proposed methods can effectively remove redundant protrusions and jaggy noise. KW - Shape modeling; implicit surfaces; interactive restoration DO - 10.32604/cmes.2023.025970