提出新型椭圆傅里叶描述符归一化方法,提升形状分析稳定性与效率。
Reliable and superior elliptic Fourier descriptor normalization and its application software ElliShape with efficient image processing
- 改进椭圆傅里叶描述符计算流程,实现对基本轮廓变换的不变性
- 开发交互式轮廓提取技术,兼顾自动效率与人工修正精度
- 软件ElliShape在多平台数据中表现稳定,适合生物形态学与生态研究
椭圆傅里叶分析(EFA)是几何形态学中强大的形状分析工具,但其描述符归一化在基本轮廓变换下难以获得唯一结果,常需大量手动对齐。现有轮廓提取方法在复杂数字图像上也表现不佳。本文重构了描述符计算流程,提升计算效率,并提出一种新归一化方法——真实归一化,对所有基本轮廓变换保持不变。该方法对来自不同平台、存在多种变换的大规模轮廓数据处理至关重要。基于此,我们开发了用户友好的ElliShape软件。其轮廓提取采用交互式策略,结合自动生成效率与人工修正精准度。通过标准数据集对比评估,ElliShape在不同轮廓和变换下均稳定输出可靠重构形状与归一化描述符,在可视化与高效处理各类数字图像方面表现优越。输出的标注图像与描述符可应用于深度学习数据训练,推动植物人工智能发展,为生物多样性保护、物种分类、生态系统功能评估等关键问题提供创新解决方案。
原文摘要 · Abstract (English)
Elliptic Fourier analysis (EFA) is a powerful tool for shape analysis, which is often employed in geometric morphometrics. However, the normalization of elliptic Fourier descriptors has persistently posed challenges in obtaining unique results in basic contour transformations, requiring extensive manual alignment. Additionally, contemporary contour/outline extraction methods often struggle to handle complex digital images. Here, we reformulated the procedure of EFDs calculation to improve computational efficiency and introduced a novel approach for EFD normalization, termed true EFD normalization, which remains invariant under all basic contour transformations. These improvements are crucial for processing large sets of contour curves collected from different platforms with varying transformations. Based on these improvements, we developed ElliShape, a user-friendly software. Particularly, the improved contour/outline extraction employs an interactive approach that combines automatic contour generation for efficiency with manual correction for essential modifications and refinements. We evaluated ElliShape's stability, robustness, and ease of use by comparing it with existing software using standard datasets. ElliShape consistently produced reliable reconstructed shapes and normalized EFD values across different contours and transformations, and it demonstrated superior performance in visualization and efficient processing of various digital images for contour analysis.The output annotated images and EFDs could be utilized in deep learning-based data training, thereby advancing artificial intelligence in botany and offering innovative solutions for critical challenges in biodiversity conservation, species classification, ecosystem function assessment, and related critical issues.
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