EVOLUTION ANALYSIS OF THE DETECTED EDGE IN SCALE-SPACE
尺度空间检测边缘特征的进化分析

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.