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Information Journal Paper

Title

Edge Detection with Hessian Matrix Property Based on Wavelet Transform

Pages

  163-170

Abstract

 In this paper, we present an Edge detection method based on Wavelet transform and Hessian matrix of image at each pixel. Many methods which based on Wavelet transform, use Wavelet transform to approximate the gradient of image and detect edges by searching the modulus maximum of gradient vectors. In our scheme, we use Wavelet transform to approximate Hessian matrix of image at each pixel, too. The main idea of our methods lies in the fact that, the direction of largest surface curvature is the eigenvector of the Hessian matrix corresponding to the largest absolute eigenvalue. Infact, we use the Hessian matrix's information to increase or decrease the effect of Wavelet transform in and directions.

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    • Cite

    APA: Copy

    AGHAZADEH, N., & GHOLIZADE ATANI, Y.. (2015). Edge Detection with Hessian Matrix Property Based on Wavelet Transform. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 26(2), 163-170. SID. https://sid.ir/paper/718328/en

    Vancouver: Copy

    AGHAZADEH N., GHOLIZADE ATANI Y.. Edge Detection with Hessian Matrix Property Based on Wavelet Transform. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2015;26(2):163-170. Available from: https://sid.ir/paper/718328/en

    IEEE: Copy

    N. AGHAZADEH, and Y. GHOLIZADE ATANI, “Edge Detection with Hessian Matrix Property Based on Wavelet Transform,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 26, no. 2, pp. 163–170, 2015, [Online]. Available: https://sid.ir/paper/718328/en

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