Open Access

ARTICLE

Interactive Restoration of Three-Dimensional Implicit Surface with Irregular Parts

Jiayu Ren^1,*, Yoshihisa Fujita², Susumu Nakata²

1 Graduate School of Information Science and Engineering, Ritsumeikan University, Shiga, 525-8577, Japan
2 College of Information Science and Engineering, Ritsumeikan University, Shiga, 525-8577, Japan

* Corresponding Author: Jiayu Ren. Email:

Computer Modeling in Engineering & Sciences 2023, 136(3), 2111-2125. https://doi.org/10.32604/cmes.2023.025970

Received 08 August 2022; Accepted 08 November 2022; Issue published 09 March 2023

Abstract

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.

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Keywords

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