尺度空間檢測邊緣特征的進化分析
EVOLUTION ANALYSIS OF THE DETECTED EDGE IN SCALE-SPACE
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摘要: 多尺度分析中的一個重要問題是檢測特征的尺度空間進化規(guī)律。本文以2-D高斯函數(shù)作為核函數(shù),明確給出了角點圖像的尺度空間檢測邊緣是一個由角邊界的斜率和分析尺度共同決定的橢圓。以此為基礎(chǔ),討論了尺度因子對相鄰角點檢測邊緣的同化效應(yīng),給出了角最小分辨率與分析尺度的關(guān)系不等式。本文的結(jié)果對多尺度分析具有普遍性參考意義。
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關(guān)鍵詞:
- 尺度空間; 檢測邊緣; 進化分析; 同化; 角最小分辨率
Abstract: The detected features evolution in scale-space is an important problem in multiscale analysis. With the 2-D Gaussian function as the kernel, the detected edge of an acute corner in scale-space, that is an ellipse determined by the slope of the corner boundary and the analysis scale, is given out clearly in this paper. Based on this, the assimilative effect of the scale factor to the detected edges of adjacent corners is discussed and the inequality of the distinguishable resolution of the corners in scale-space with the scale factor is given. The results given in this paper can be treated as the general reference for the multiscale analysis. -
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