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Journal ArticleDOI

The design and use of steerable filters

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TLDR
The authors present an efficient architecture to synthesize filters of arbitrary orientations from linear combinations of basis filters, allowing one to adaptively steer a filter to any orientation, and to determine analytically the filter output as a function of orientation.
Abstract
The authors present an efficient architecture to synthesize filters of arbitrary orientations from linear combinations of basis filters, allowing one to adaptively steer a filter to any orientation, and to determine analytically the filter output as a function of orientation. Steerable filters may be designed in quadrature pairs to allow adaptive control over phase as well as orientation. The authors show how to design and steer the filters and present examples of their use in the analysis of orientation and phase, angularly adaptive filtering, edge detection, and shape from shading. One can also build a self-similar steerable pyramid representation. The same concepts can be generalized to the design of 3-D steerable filters. >

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Citations
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Journal ArticleDOI

DUNet: A deformable network for retinal vessel segmentation

TL;DR: Wang et al. as discussed by the authors proposed Deformable U-Net (DUNet), which exploits the retinal vessels' local features with a U-shape architecture, in an end-to-end manner for retinal vessel segmentation.
Book ChapterDOI

Optical Flow Estimation

David J. Fleet, +1 more
TL;DR: This chapter provides a tutorial introduction to gradient-based optical flow estimation by discussing least-squares and robust estimators, iterative coarse-to-fine refinement, different forms of parametric motion models, different conservation assumptions, probabilistic formulations, and robust mixture models.
Journal ArticleDOI

Evaluation of Interest Point Detectors and Feature Descriptors for Visual Tracking

TL;DR: This work presents a carefully designed dataset of video sequences of planar textures with ground truth, which includes various geometric changes, lighting conditions, and levels of motion blur, and presents a comprehensive quantitative evaluation of detector-descriptor-based visual camera tracking based on this testbed.
Proceedings ArticleDOI

Learning Local Image Descriptors

TL;DR: The best descriptors were those with log polar histogramming regions and feature vectors constructed from rectified outputs of steerable quadrature filters, which gave one third of the incorrect matches produced by SIFT.
Proceedings ArticleDOI

Image Denoising Via Learned Dictionaries and Sparse representation

TL;DR: This work addresses the image denoising problem, where zeromean white and homogeneous Gaussian additive noise should be removed from a given image, by defining a global image prior that forces sparsity over patches in every location in the image.
References
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Journal ArticleDOI

A Computational Approach to Edge Detection

TL;DR: There is a natural uncertainty principle between detection and localization performance, which are the two main goals, and with this principle a single operator shape is derived which is optimal at any scale.
Journal ArticleDOI

A theory for multiresolution signal decomposition: the wavelet representation

TL;DR: In this paper, it is shown that the difference of information between the approximation of a signal at the resolutions 2/sup j+1/ and 2 /sup j/ (where j is an integer) can be extracted by decomposing this signal on a wavelet orthonormal basis of L/sup 2/(R/sup n/), the vector space of measurable, square-integrable n-dimensional functions.
Book

Methods of Mathematical Physics

TL;DR: In this paper, the authors present an algebraic extension of LINEAR TRANSFORMATIONS and QUADRATIC FORMS, and apply it to EIGEN-VARIATIONS.