ECHO: Extended Convolution Histogram of Orientations for Local Surface Description,Computer Graphics Forum

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ECHO: Extended Convolution Histogram of Orientations for Local Surface Description
Computer Graphics Forum ( IF 2.7 ) Pub Date : 2020-11-22 , DOI: 10.1111/cgf.14181
Thomas W. Mitchel ₁ , Szymon Rusinkiewicz ₂ , Gregory S. Chirikjian _{1,

3} , Michael Kazhdan ₁

Affiliation

This paper presents a novel, highly distinctive and robust local surface feature descriptor. Our descriptor is predicated on a simple observation: instead of describing the points in the vicinity of a feature point relative to a reference frame at the feature point, all points in the region describe the feature point relative to their own frames. Isometry invariance is a byproduct of this construction. Our descriptor is derived relative to the extended convolution – a generalization of the standard convolution that allows the filter to adaptively transform as it passes over the domain. As such, we name our descriptor the Extended Convolution Histogram of Orientations (ECHO). It exhibits superior performance compared to popular surface descriptors in both feature matching and shape correspondence experiments. In particular, the ECHO descriptor is highly stable under near-isometric deformations and remains distinctive under significant levels of noise, tessellation, complex deformations, and the kinds of interference commonly found in real data. submitted to COMPUTER GRAPHICS Forum (10/2020). 2 T. W. Mitchel et al. / Extended Convolution Histogram of Orientations

中文翻译：

ECHO：局部表面描述方向的扩展卷积直方图

本文提出了一种新颖、高度独特且鲁棒的局部表面特征描述符。我们的描述符基于一个简单的观察：不是描述特征点相对于特征点参考帧附近的点，而是该区域中的所有点都描述相对于它们自己的帧的特征点。等距不变性是这种构造的副产品。我们的描述符是相对于扩展卷积推导出来的——标准卷积的泛化，允许过滤器在通过域时进行自适应变换。因此，我们将我们的描述符命名为扩展卷积方向直方图（ECHO）。在特征匹配和形状对应实验中，与流行的表面描述符相比，它表现出优越的性能。特别是，ECHO 描述符在近等距变形下高度稳定，并且在噪声、镶嵌、复杂变形和真实数据中常见的各种干扰的显着水平下保持独特。提交给计算机图形论坛 (10/2020)。2 TW Mitchel 等人。/ 方向的扩展卷积直方图

更新日期：2020-11-22

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