Journal of the Institute of Electronics Engineers of Korea SP (대한전자공학회논문지SP)

The Institute of Electronics and Information Engineers (대한전자공학회)
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Mathematical Modeling Analysis of the Human Visual Filters

인간시각필터의 수학적 모델링 해석

  • 이적식 (경기대학교 전자기계공학부)
  • Published : 2001.11.01
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Abstract

The mathematical models for the receptive field of simple cells in the human visual system have been developed in the areas of psychophysics, physiology and neuroscience. The various models used in the fields of digital image processing and computer vision include Gator complex, Gaussian derivatives and Hermite functions. In this paper, the effective widths for the models are derived based on the space-frequency uncertainty principle. The center frequency and parameters related to the models are determined in accordance with the human visual filters, and resultant bandwidths are analyzed. Furthermore, the characteristics of space and frequency for the models is analyzed and compared to the experimental data obtained from psychophysics.

인간시각체계에서 단순세포의 수용영역에 대한 수학적인 모델 연구가 정신물리학, 생리학, 신경과학 측면에서 발전되어 왔다. 여러 분야에서 사용되는 모델은 Gabor 복소함수, Gaussian 미분, Hermite 함수를 포함하며, 영상처리와 컴퓨터 시각 분야에 많이 응용되고 있다. 본 논문에서는 불확실성원리에 기초하여 고려된 함수들의 결합유효폭을 계산하고, 인간시각필터와 일치되는 중심주파수와 각 함수의 변수들을 결정하고, 결과적인 대역폭을 분석한다. 더욱이 함수들의 위치와 주파수 영역의 특성을 파악하여 정신물리학적으로 획득한 실험적인 데이터와의 관련성을 검토한다.

Keywords

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