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| A new edge detection operator for noisy edge-sine-operator |
| Deng Xiangjin; Yun Risheng; Wu Yiyong; Peng Hailiang |
| Electronics Institute Chinese Academy of Sciences Beijing 100080 China |
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Abstract Edge detection is the process that attempts to characterize the intensity changes in the imagery. The critical goal of edge detection is the detection and characterization of significant intensity changes. Good detection, good localization and single response to a single edge are the three performance criteria for edge detection. Based on the mathematical formulations about detection, localization and single response criterion, the paper explains the theory to attain the optimal edge detection operator in details. The procedure of designing edge detection operators for any shape edges is introduced by illustrating to attain the one-dimensional step edge optimal detection operator. Based on the three performance criteria, the sine-operator is proposed. The sine-operator out-performs the first derivative of Gauss function according to the above three criteria. The results demonstrate that the sine-operator proposed in the paper can obtain good effects for both one-dimensional signal and two-dimensional image with noise.
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Received: 08 November 2001
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2002, Vol. 24 
