Kummer's theorem: Difference between revisions

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mention one proof
 
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{{technical|date=November 2011}}
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{{refimprove|date=November 2011}}
In [[applied mathematics]], a '''steerable filter''' <ref name="Freeman-Adelson-1991"/>
is an orientation-selective convolution kernel used for image enhancement and feature extraction that can be expressed via a linear combination of a small set of rotated versions of itself. As an example, the oriented first derivative of a 2D Gaussian is a steerable filter. The oriented first order derivative can be obtained by taking the dot product of a unit vector oriented in a specific direction with the gradient. The basis filters are the partial derivatives of a 2D Gaussian with respect to <math>x</math> and <math>y</math>.
 
The process by which the oriented filter is synthesized at any given angle is known as ''steering'', which is used in similar sense as in [[beam steering]] for antenna arrays. Applications of steerable filters include [[edge detection]], oriented texture analysis and shape from shading.
 
Steerable filters may be designed as approximations of a given filter shape up to a desired error or computational complexity.<ref name="Perona-1995"/>
 
== References ==
 
{{reflist|
refs=
<ref name="Freeman-Adelson-1991">
{{cite article
  | title=The design and use of steerable filters
  | author=Freeman, W. T. and Adelson, E. H.
  | journal=IEEE Transactions on Pattern analysis and machine intelligence
  | volume=13
  | number=9
  | pages=891–906
  | year=1991
}}</ref>
<ref name="Perona-1995">
{{cite article
  | title=Deformable kernels for early vision,
  | author=Perona, P.
  | journal= IEEE Transactions on Pattern Analysis and Machine Intelligence
  | volume=17
  | number=5
  | pages=488–499
  | year=1995
  | publisher=IEEE
}}</ref>
}}
 
[[Category:Image processing]]
[[Category:Feature detection]]
 
 
{{applied-math-stub}}

Latest revision as of 10:47, 9 January 2015

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