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This paper presents a robust filter called quaternion Hardy filter (QHF) for color image edge detection. The QHF can be capable of color edge feature enhancement and noise resistance. It is flexible to use QHF by selecting suitable…

Signal Processing · Electrical Eng. & Systems 2020-08-12 Wenshan Bi , Dong Cheng , Kit Ian Kou

In this article, a robust color-edge feature extraction method based on the Quaternion Hardy filter is proposed. The Quaternion Hardy filter is an emerging edge detection theory. It is along with the Poisson and conjugate Poisson smoothing…

Computer Vision and Pattern Recognition · Computer Science 2021-08-21 Wenshan Bi , Dong Cheng , Kit Ian Kou

This paper introduces the idea of the color Clifford Hardy signal, which can be used to process color images. As a complex analytic function's high-dimensional analogue, the color Clifford Hardy signal inherits many desirable qualities of…

Image and Video Processing · Electrical Eng. & Systems 2023-08-15 Xiaoxiao Hu , Kit Ian Kou , Cuiming Zou , Dong Cheng

This paper presents a robust filter called quaternion Hardy filter (QHF) for color image edge detection. The QHF can be capable of color edge feature enhancement and noise resistance. It is flexible to use QHF by selecting suitable…

Computer Vision and Pattern Recognition · Computer Science 2021-01-05 Wenshan Bi Dong Cheng Wankai Liu , Kit Ian Kou

We introduce the Hardy spaces for Fourier integral operators on Riemannian manifolds with bounded geometry. We then use these spaces to obtain improved local smoothing estimates for Fourier integral operators satisfying the cinematic…

Analysis of PDEs · Mathematics 2024-01-31 Naijia Liu , Jan Rozendaal , Liang Song , Lixin Yan

Edge Detection Methods Based on Differential Phase Congruency of Monogenic Image Abstract: Edge detection has been widely used in medical image processing and automatic diagnosis. Some novel edge detection algorithms,based on the monogenic…

Classical Analysis and ODEs · Mathematics 2016-12-19 Yan Yang , Kit Ian Kou , Cuiming Zou

This paper presents an edge detection method based on global and local parameters of the image, which produces satisfactory results on the edge detection of complex images and has a simple structure for execution. The local and global…

Computer Vision and Pattern Recognition · Computer Science 2015-04-24 Andrew F. C. Brustolin

This paper proposes a novel feature called spectrum congruency for describing edges in images. The spectrum congruency is a generalization of the phase congruency, which depicts how much each Fourier components of the image are congruent in…

Image and Video Processing · Electrical Eng. & Systems 2021-03-11 Fang Yang , Xin Su , Li Chai

Since local feature detection has been one of the most active research areas in computer vision, a large number of detectors have been proposed. This has rendered the task of characterizing the performance of various feature detection…

Computer Vision and Pattern Recognition · Computer Science 2015-10-20 Shoaib Ehsan , Adrian F. Clark , Bruno Ferrarini , Naveed Ur Rehman , Klaus D. McDonald-Maier

Circular-harmonic spectra are a compact representation of local image features in two dimensions. It is well known that the computational complexity of such transforms is greatly reduced when polar separability is exploited in steerable…

Computer Vision and Pattern Recognition · Computer Science 2020-11-09 Hugh L Kennedy

Local feature matching enjoys wide-ranging applications in the realm of computer vision, encompassing domains such as image retrieval, 3D reconstruction, and object recognition. However, challenges persist in improving the accuracy and…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Shibiao Xu , Shunpeng Chen , Rongtao Xu , Changwei Wang , Peng Lu , Li Guo

With the advances in both stable interest region detectors and robust and distinctive descriptors, local feature-based image or object retrieval has become a popular research topic. %All of the local feature-based image retrieval system…

Computer Vision and Pattern Recognition · Computer Science 2016-07-29 Yusuke Uchida

Many phenomena are described by bivariate signals or bidimensional vectors in applications ranging from radar to EEG, optics and oceanography. The time-frequency analysis of bivariate signals is usually carried out by analyzing two separate…

Methodology · Statistics 2016-09-09 Julien Flamant , Nicolas Le Bihan , Pierre Chainais

A unified method for extracting geometric shape features from binary image data using a steady state partial differential equation (PDE) system as a boundary value problem is presented in this paper. The PDE and functions are formulated to…

Computer Vision and Pattern Recognition · Computer Science 2019-04-17 Takayuki Yamada

This paper performs a comprehensive and comparative evaluation of the state of the art local features for the task of image based 3D reconstruction. The evaluated local features cover the recently developed ones by using powerful machine…

Computer Vision and Pattern Recognition · Computer Science 2017-12-15 Bin Fan , Qingqun Kong , Xinchao Wang , Zhiheng Wang , Shiming Xiang , Chunhong Pan , Pascal Fua

A new method is proposed to get image features' geometric information. Using Gaussian as an input signal, a theoretical optimal solution to calculate feature's affine shape is proposed. Based on analytic result of a feature model, the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-19 Xiaopeng Xu , Xiaochun Zhang

Local spectral similarity (LSS) algorithm has been developed for detecting homogeneous areas and edges in hyperspectral images (HSIs). The proposed algorithm transforms the 3-D data cube (within a spatial window) into a spectral similarity…

Computer Vision and Pattern Recognition · Computer Science 2019-11-07 Anand S Sahadevan , Arundhati Misra , Praveen Gupta

In this paper we propose an ensemble of local and deep features for object classification. We also compare and contrast effectiveness of feature representation capability of various layers of convolutional neural network. We demonstrate…

Computer Vision and Pattern Recognition · Computer Science 2017-12-14 Siddharth Srivastava , Prerana Mukherjee , Brejesh Lall , Kamlesh Jaiswal

In the computer vision literature, many effective histogram-based features have been developed. These engineered features include local binary patterns and edge histogram descriptors among others and they have been shown to be informative…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Joshua Peeples , Salim Al Kharsa , Luke Saleh , Alina Zare

We present a novel solution to the camera pose estimation problem, where rotation and translation of a camera between two views are estimated from matched feature points in the images. The camera pose estimation problem is traditionally…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Kaveh Fathian , J. Pablo Ramirez-Paredes , Emily A. Doucette , J. Willard Curtis , Nicholas R. Gans
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