An Affine Invariant Patch Similarity

Vadim Fedorov; Coloma Ballester

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An Affine Invariant Patch Similarity

机译：仿射不变补丁相似度

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摘要

Image and video comparison is often approached by comparing patches of visual information. In this work we present a detailed description and implementation of an affine invariant patch similarity measure that performs an appropriate patch comparison by automatically and intrinsically adapting the size and shape of the patches. We also describe the complete implementation of the proposed iterative algorithm for computation of those shape-adaptive patches around each point in the image domain.

机译：图像和视频比较通常是通过比较视觉信息块来实现的。在这项工作中，我们将提供仿射不变补丁相似度度量的详细描述和实现，该度量通过自动并固有地调整补丁的大小和形状来执行适当的补丁比较。我们还描述了所提出的迭代算法的完整实现，该迭代算法用于计算图像域中每个点周围的那些形状自适应补丁。

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《Image Processing On Line》 |2018年第2期|共24页
作者
Vadim Fedorov; Coloma Ballester;
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中图分类计算技术、计算机技术;
关键词
patch similarityaffine invariancestructure tensorshape-adaptive patches;

机译：补丁相似度仿射不变结构张量形状自适应补丁;

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1. AN ARITHMETICAL INVARIANT OF ORBITS OF AFFINE ACTIONS AND ITS APPLICATION TO SIMILARITY CLASSES OF QUADRATIC SPACES [J] . ANTHONY C. KABLE International Journal of Number Theory . 2010,第6期

机译：仿射作用力的算术不变性及其在二次空间相似类中的应用
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机译：二维点集之间的相似性和仿射不变距离
3. Affine-scale invariant feature transform and two-dimensional principal component analysis: a novel framework for affine and scale invariant face recognition [J] . Vinay A., Shekhar Vinay S., Kumar C Akshay, Computer Vision, IET . 2016,第1期

机译：仿射尺度不变特征变换和二维主成分分析：仿射尺度不变脸识别的新框架
4. Real-time affine invariant patch matching using DCT descriptor and affine space quantization [C] . Chen Xiaobo, Ye Feng, Zhu Fuguo, 2011 18th IEEE International Conference on Image Processing . 2011

机译：使用DCT描述符和仿射空间量化的实时仿射不变补丁匹配
5. Affine invariant submanifolds of the moduli space of abelian differentials. [D] . Wright, Alexander Murray. 2014

机译：阿贝尔微分的模空间的仿射不变子流形。
6. Fully Affine Invariant Methods for Cross-Session Registration of Calcium Imaging Data [O] . Chunyue Li, Xiaofeng Yang, Ya Ke, 2020

机译：完全仿射钙成像数据的交叉会话登记的不变方法
7. Confidence-based denoising relying on a transformation-invariant, robust patch similarity: Exploring ways to improve patch synchronous summation [O] . Angelino Cesario Vincenzo, Debreuve Eric, Barlaud Michel 2011

机译：基于变换不变，鲁棒补丁相似度的基于置信度的去噪：探索改善补丁同步求和的方法
8. Similarity Solutions of Nonlinear Partial Differential Equations Invariant to a Family of Affine Groups [R] . Dresner, L. 1987

机译：一类仿射群不变非线性偏微分方程的相似解

An Affine Invariant Patch Similarity

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