Design of FIR Bilevel Laplacian-of-Gaussian filter

  • Authors:
  • Soo-Chang Pei;Ji-Hwei Horng

  • Affiliations:
  • Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan, ROC;Department of Information Management, National Kaohsiung University of Applied Sciences at Kinmen, Taiwan, ROC

  • Venue:
  • Signal Processing
  • Year:
  • 2002

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Abstract

The Laplacian-of-Gaussian (LOG) filter is an optimal edge detector, but it is computationally inefficient. In this paper, we propose the bilevel Laplacian-of-Gaussian (BLoG) filter to approximate the LoG filter. This approximation is formulated as an optimization problem and solved by the gradient descent algorithm. Only two multiplications per pixel are required in convolving with the BLoG filter. The computation is fast and it produces satisfactory results. The applications of ID BLoG filter to corner detection and 2D BLoG filter to edge detection are also presented.