# FACIAL PARTS RECOGNITION USING LIFTING WAVELET FILTERS LEARNED BY KURTOSIS-MINIMIZATION

### Koichi Niijima

#### 2006

#### Abstract

We propose a method for recognizing facial parts using the lifting wavelet filters learned by kurtosis-minimization. This method is based on the following three features of kurtosis: If a random variable has a gaussian distribution, its kurtosis is zero. If the kurtosis is positive, the respective distribution is supergaussian. The value of kurtosis is bounded below. It is known that the histogram of wavelet coefficients for a natural image behaves like a supergaussian distribution. Exploiting these properties, free parameters included in the lifting wavelet filter are learned so that the kurtosis of lifting wavelet coefficients for the target facial part is minimized. Since this minimization problem is an ill-posed problem, it is solved by employing the regularization method. Facial parts recognition is accomplished by extracting facial parts similar to the target facial part. In simulation, a lifting wavelet filter is learned using the narrow eyes of a female, and the learned lifting filter is applied to facial images of 10 females and 10 males, whose expressions are neutral, smile, anger, and scream, to recognize eye part.

#### References

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#### Paper Citation

#### in Harvard Style

Niijima K. (2006). **FACIAL PARTS RECOGNITION USING LIFTING WAVELET FILTERS LEARNED BY KURTOSIS-MINIMIZATION** . In *Proceedings of the First International Conference on Computer Vision Theory and Applications - Volume 2: VISAPP,* ISBN 972-8865-40-6, pages 41-47. DOI: 10.5220/0001367900410047

#### in Bibtex Style

@conference{visapp06,

author={Koichi Niijima},

title={FACIAL PARTS RECOGNITION USING LIFTING WAVELET FILTERS LEARNED BY KURTOSIS-MINIMIZATION},

booktitle={Proceedings of the First International Conference on Computer Vision Theory and Applications - Volume 2: VISAPP,},

year={2006},

pages={41-47},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0001367900410047},

isbn={972-8865-40-6},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the First International Conference on Computer Vision Theory and Applications - Volume 2: VISAPP,

TI - FACIAL PARTS RECOGNITION USING LIFTING WAVELET FILTERS LEARNED BY KURTOSIS-MINIMIZATION

SN - 972-8865-40-6

AU - Niijima K.

PY - 2006

SP - 41

EP - 47

DO - 10.5220/0001367900410047