一種新邊緣檢測算子正弦算子
A new edge detection operator for noisy edge-sine-operator
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摘要: 邊緣檢測是在圖像中標注灰度強度變化的過程,邊緣檢測的主要目的是檢測和標注顯著的灰度強度變化,檢測準則、定位準則和響應(yīng)的唯一性是評估邊緣檢測算子的三個準則,該文基于這三個準則,給出了獲取最優(yōu)邊緣檢測算子的詳細理論推導(dǎo),以一維階躍邊緣最優(yōu)檢測算子為例,討論了對任意形狀邊緣設(shè)計邊緣檢測算子的過程。在此基礎(chǔ)上,該文提出了一種新檢測算子正弦算子,根據(jù)評估邊緣檢測算子的三個準則,該文建議的正弦算子要優(yōu)于高斯一階導(dǎo)函數(shù),實驗結(jié)果表明,正弦算子對檢測和定位一維和二維含噪邊緣都具有較好的效果。
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關(guān)鍵詞:
- 正弦檢測算子; 邊緣檢測; 最優(yōu)邊緣檢測算子; 含噪邊緣
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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