The Gradient Product Transform: An Image Filter for Symmetry Detection

Christoph Dalitz; Jens Wilberg; Manuel Jeltsch

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The Gradient Product Transform: An Image Filter for Symmetry Detection

机译：梯度积变换：用于对称检测的图像滤波器

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摘要

The Gradient Product Transform (GPT) is an image filter that converts a grayscale image into a float image, such that points representing a point reflection symmetry center obtain a high score. Beside the symmetry score, it also yields an estimator for the size of the symmetry region around each point. Apart from describing the GPT, the article also explains its application for two use cases: detection of objects with a point reflection or C2m rotational symmetry, and the extraction of blood vessel skeletons from medical images. For the detection of symmetric objects, a score normalization procedure is suggested that allows to choose a fixed threshold for score values representing actual symmetries.

机译：梯度积变换（GPT）是一种图像过滤器，可将灰度图像转换为浮点图像，从而使代表点反射对称中心的点获得高分。除了对称性得分外，它还为每个点周围的对称性区域的大小提供了一个估计量。除了描述GPT之外，本文还解释了它在两个用例中的应用：具有点反射或C2m旋转对称性的对象检测，以及从医学图像中提取血管骨骼。对于对称对象的检测，建议使用分数归一化过程，该过程允许为代表实际对称性的分数值选择固定阈值。

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《Image Processing On Line》 |2019年第2期|共19页
作者
Christoph Dalitz; Jens Wilberg; Manuel Jeltsch;
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中图分类计算技术、计算机技术;
关键词
symmetry detectionblood vessel extractionimage filtering;

机译：对称性检测血管提取图像滤波;

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专利

1. Fast and Robust Symmetry Detection for Brain Images Based on Parallel Scale-Invariant Feature Transform Matching and Voting [J] . Huisi Wu, Defeng Wang, Lin Shi, International journal of imaging systems and technology . 2013,第4期

机译：基于并行尺度不变特征变换匹配与投票的脑图像快速鲁棒对称检测
2. Efficient detection of cerebral microbleeds on 7.0t mr images using the radial symmetry transform [J] . KuijfH.J., deBresserJ., GeerlingsM.I., NeuroImage . 2012,第3期

机译：使用径向对称变换有效检测7.0t mr图像上的脑微出血
3. Detection ellipses by finding lines of symmetry in the images via an hough transform applied to straight lines [J] . Adfel A.Sewisy, Franz Leberl Image and Vision Computing . 2001,第12期

机译：通过应用于直线的霍夫变换在图像中找到对称线来检测椭圆
4. The Gradient Product Transform for Symmetry Detection and Blood Vessel Extraction [C] . Christoph Dalitz, Regina Pohle-Frohlich, Fabian Schmitt, International Conference on Computer Vision Theory and Applications . 2015

机译：对称检测和血管提取的梯度产品变换
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6. De-noising of dynamic magnetic resonance images by the combined application of wavelet filtering and Karhunen-Loeve Transform (KLT) [O] . Prashanth Palaniappan, Orlando P Simonetti, Yu Ding 2012

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8. Matched Filtering of Continuous Signals by the Product of Transforms Technique using SAW Chirp Filters. [R] . Arsenault, D. R., Das, P., Milstein, L. B. 1978

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The Gradient Product Transform: An Image Filter for Symmetry Detection

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