Edge Detectors Based on Pauta Criterion with Application to Hybrid Compact-WENO Finite Difference Scheme

文献类型： 外文期刊

第一作者： Zhang, Chunhua

作者： Zhang, Chunhua;Gao, Zhen;Ye, Sa;Li, Peng

作者机构：

关键词： Edge detection; Pauta criterion; multi-resolution; hybrid

期刊名称：ADVANCES IN APPLIED MATHEMATICS AND MECHANICS （ 影响因子：1.4； 五年影响因子：1.1 ）

ISSN： 2070-0733

年卷期： 2023 年

页码：

收录情况： SCI

摘要： In the last two decades, many edge detection methods have been developed and widely used in image processing for edge detection and the hybrid compactWENO finite difference (hybrid) schemes for solving the system of hyperbolic conservation laws with solutions containing both discontinuous and complex fine-scale structures. However, many edge detection methods include the problem-dependent parameters such as the high order multi-resolution (MR) analysis (Harten, JCP, 49 (1983)). Therefore, we combined the Tukey's boxplot method with MR analysis (Gao et al., JSC, 73 (2017)) to overcome this problem in a sense. But the Tukey's boxplot method needs to sort the data at the beginning of Runge-Kutta time integration method, which is relatively time-consuming and inefficient. In this study, we employ the PauTa criterion and remove the problem-dependent parameters in the MR analysis. Furthermore, two new edge detection approaches, which are based on second-order central difference scheme and Ren's idea (Ren et al., JCP, 192 (2003)), are also proposed. The accuracy, efficiency and robustness of the hybrid scheme with the new edge detectors are verified by numerous classical one-and two-dimensional examples in the image processing and compressible Euler equations with discontinuous solutions.

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