基于应力波速度置信度的层析成像树木内部缺陷检测方法

    Confidence-based stress wave tomography for detecting internal defects of trees

    • 摘要: 针对传统应力波层析成像方法因忽略速度信息可靠性的差异而导致的成像精度不足的问题,该研究提出一种基于速度置信度的应力波层析成像算法(confidence tomographic imaging algorithm, CTIA),以提升林木内部缺陷检测的准确性。基于椭圆空间插值方法计算网格速度,引入置信度加权机制,动态调整不同区域速度信息的贡献权重,优化成像精度。基于椭圆影响域覆盖数量、波速倒数及长轴参数计算网格速度置信度;进一步结合邻域加权策略,利用置信度与邻域速度一致性迭代更新网格速度。试验选用5类原木样本及4类仿真样本,验证算法性能。试验结果表明,CTIA在召回率、精确率、F1分数及交并比4项指标上的平均值分别为77.24%、81.72%、79.04%和70.49%。CTIA通过融合速度置信度与邻域一致性迭代优化,提高了缺陷检测的精度、形态重构能力及算法鲁棒性,可为林木健康监测及古树保护提供参考。

       

      Abstract: Internal defects in trees, such as cavities and decay, have threatened the safety of heritage trees, due mainly to the mechanical stability and economic value of trees. However, the conventional detection of the internal defects in trees can rely mainly on destructive sampling or low-resolution imaging techniques. Both high accuracy and non-invasiveness are often required in the forestry resource protection and health assessment of heritage trees. Meanwhile, the existing stress wave tomography cannot consider the spatial variability in the velocity information, resulting in some discrepancies between the reconstructed images and the actual defect distribution. In this study, a high-precision tomographic imaging algorithm was proposed to detect the internal defects in trees. The CTIA (confidence tomographic imaging algorithm) integrated the elliptical spatial interpolation into the stress wave propagation paths as elliptical influence zones. Grid velocities were calculated to weight the average ray data within elliptical influence zones. Among them, the confidence metrics were derived from elliptical coverage density, local velocity properties, and geometric configurations. Spatial consistency between adjacent grids was enforced to estimate the iterative neighborhood optimization refined velocity. A weighting scheme was also balanced to combine the current grid confidence with neighborhood velocity standard deviation. To enhance interpretability, A trichromatic visualization scheme was adopted to distinguish healthy tissues, transitional decay areas, and cavities, using normalized velocity thresholds as the classification criteria. In addition, a tradeoff between computational complexity and imaging accuracy was achieved for the stable convergence and reliable reconstruction under varying experimental conditions. Experimental validation was conducted on five log samples, including Ginkgo biloba, Sapium sebiferum, Cinnamomum camphora, Cedrus, and Carya cathayensis, with the moisture contents ranging from 10.5% to 18.3% and defect area ratios from 2.97% to 26.84%. Four simulation samples contained circular defects with the area ratios from 3.08% to 16.21%. Quantitative analysis revealed that there was the CTIA's superiority over EBSI (ellipse-based spatial interpolation) and Intersection IFDD (intersection fitting-based defect detection in woods), with 77.24% for average recall, 81.72% for precision, 79.04% for F1 score, and 70.49% for IOU. Compared with the EBSI, the CTIA improved the average F1 score by 8.69 percentage points and the average IOU by 14.00 percentage points, respectively. Compared with the IFDD, the CTIA was improved by approximately 7.20 percentage points in the precision, indicating the high accuracy and robustness. The absolute relative error in the predicted defect area proportion was only 1.87% among all tests, compared with 2.65% for IFDD and 6.07% for EBSI, demonstrating the enhanced accuracy of CTIA in defect area estimation. A more stable and reliable reconstruction was obtained over different tree species and defect morphologies, indicating its generalization. The irregular defects were also reconstructed in the multi-defect scenarios. Nevertheless, its detection performance declined significantly as the boundary adhesion occurred. Consequently, the internal structures of trees were non-destructively evaluated to dynamically balance the velocity reliability and spatial consistency. A practical tool can offer for the forestry and heritage tree preservation, as well as the ecological and economic challenges in sustainable resource utilization. Adaptive confidence allocation or deep-learning approaches can be incorporated to further improve the performance in complex and multi-defect conditions.

       

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