Wavelet Descriptors for Object Recognition Using Mexican Hat Function

Nabout, A.; Tibken, Bernd

doi:10.3182/20050703-6-cz-1902.00186

Cited by 8 publications

(8 citation statements)

References 7 publications

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“…The calculation of the integral in equation (5) results in the following final equation (6) [7] where a is the compression or dilatation parameter and b is the shifting parameter.…”

Section: Wavelet Transformationmentioning

confidence: 99%

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Object Shape Recognition Using Mexican Hat Wavelet Descriptors

Nabout

Tibken

2007

2007 IEEE International Conference on Control and Automation

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In this paper we present the results of object recognition using Mexican Hat wavelet descriptors. These descriptors are derived from the continuous wavelet transformation using the Mexican Hat function as mother wavelet. To describe an object shape we use an angle function derived from the extracted contour polygon. The angle function is periodical and independent from the size of the object, its position or orientation. It depends only on the starting point of the contour. The contour extraction is based here on the object oriented contour extraction method (OCE). The polygon representation uses the curvature dependent contour approximation method (CDCA). The continuous wavelet transform (CWT) is used in order to derive a suitable number of wavelet descriptors (WD).

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“…The calculation of the integral in equation (5) results in the following final equation (6) [7] where a is the compression or dilatation parameter and b is the shifting parameter.…”

Section: Wavelet Transformationmentioning

confidence: 99%

“…A shape factor includes measurements of the object like moments, area, perimeter etc. Advanced methods use descriptors derived from Fourier transformation [4] or wavelet transformation [5,6,7].…”

Section: Introductionmentioning

confidence: 99%

Object Shape Recognition Using Mexican Hat Wavelet Descriptors

Nabout

Tibken

2007

2007 IEEE International Conference on Control and Automation

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“…In (22) only the first term includes shape information, since it includes . All other terms depend on the parameters and and are constant for a given Mexican Hat wavelet.…”

Section: Mexican Hat Wavelet Descriptors (Mwd)mentioning

confidence: 99%

“…In this paper, we present the derivation of wavelet descriptors using a periodical angle function on the basis of the Mexican Hat and Haar wavelet. The new method is based on the publications listed in [21][22][23][24] and is described in this paper much more coherently and, specifically, provides further details related to the following important points.…”

Section: Introductionmentioning

confidence: 99%

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Object Shape Recognition Using Wavelet Descriptors

Nabout

2013

Journal of Engineering

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The wavelet transform is a well-known signal analysis method in several engineering disciplines. In image processing and pattern recognition, the wavelet transform is used in many applications for image coding as well as feature extraction purposes. It can be used to describe a given object shape by wavelet descriptors (WD). Thus, it is used to recognize objects according to their contour shape by deriving a number of WD and comparing them with the WD of stored contour patterns. For our method, we use a periodical angle function derived from an extracted object contour. In order to apply the WD, the Mexican Hat can be used as the mother wavelet. In this paper, the method of object shape recognition using wavelet descriptors is described coherently and includes details relating to the method of applying the periodical angle function and the derivation of the formulas for the Haar as well as Mexican Hat wavelet descriptors. To evaluate the results of object recognition when using wavelet descriptors taking into account the dependence on the starting point, the paper describes a sufficient method for the comparison of wavelet descriptors using the minimum distance matrix.

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Object Shape Description Using Haar-Wavelet Functions

Nabout

Tibken

2008

2008 3rd International Conference on Information and Communication Technologies: From Theory to Applications

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Wavelet Descriptors for Object Recognition Using Mexican Hat Function

Cited by 8 publications

References 7 publications

Object Shape Recognition Using Mexican Hat Wavelet Descriptors

Object Shape Recognition Using Mexican Hat Wavelet Descriptors

Object Shape Recognition Using Wavelet Descriptors

Object Shape Description Using Haar-Wavelet Functions

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