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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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Proceedings ArticleDOI

Skip-Convolutions for Efficient Video Processing

TL;DR: Skip-Convolution as mentioned in this paper proposes skip-convolutions to leverage the large amount of redundancies in video streams and save computations by replacing all convolutions with skip-convolutions in two state-of-the-art architectures.
Journal ArticleDOI

Dynamic coding of border-ownership in visual cortex

TL;DR: A dynamic model based on physiological data that indicates areas V1, V2, and V4 act as an interareal network to determine border-ownership is presented, predicting that competition between curvature- sensitive cells in V4 that have on-surround receptive fields of different sizes can determine likely figure locations and rapidly propagate the information interareally to V2 border- Ownership cells that receive contrast information from V1.
Journal ArticleDOI

Improved structure-adaptive anisotropic filter

TL;DR: This paper proposes to improve the structure-adaptive anisotropic filtering approach using an elliptical kernel, a non-linear filtering function, and a more robust-to-noise technique for oriented pattern direction estimation.
Proceedings ArticleDOI

Steerable wedge filters

TL;DR: A family of even- and odd-symmetric steerable filters that have a spatially asymmetric "wedge-like" shape and are optimally localized in their orientation response and demonstrate the ability of these filters to properly represent oriented structures.
Proceedings ArticleDOI

Filtered Component Analysis to Increase Robustness to Local Minima in Appearance Models

TL;DR: FCA learns an optimal set of filters with which to build a multi-band representation of the object, and was found to be more robust than either grayscale or Gabor filters to problems of local minima.
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.