CAJ | 학술논문

矩方法采用二维理想边缘模型描述亚像素边缘，实际图像在边缘处存在一个渐变的过渡阶段，而二维理想边缘模型不能精确描述边缘，导致原理误差的产生。为此，提出一种采用误差校正表的算法，用于降低二维理想边缘模型引入的原理误差，提高亚像素边缘检测精度。通过方形采样定理模拟生成已知边缘的理想图像，用矩方法检测理想图像的亚像素边缘，构造二维误差校正表。使用查询误差校正表并结合双线性插值求出误差后进行误差校正。以灰度矩和Zernike矩为例进行对比实验，结果表明，该算法亚像素检测精度比校正前提高了一个数量级。校正算法主要计算量是双线性插值，能保持亚像素边缘检测的实时性。
구방법채용이유이상변연모형묘술아상소변연，실제도상재변연처존재일개점변적과도계단，이이유이상변연모형불능정학묘술변연，도치원리오차적산생。위차，제출일충채용오차교정표적산법，용우강저이유이상변연모형인입적원리오차，제고아상소변연검측정도。통과방형채양정리모의생성이지변연적이상도상，용구방법검측이상도상적아상소변연，구조이유오차교정표。사용사순오차교정표병결합쌍선성삽치구출오차후진행오차교정。이회도구화Zernike구위례진행대비실험，결과표명，해산법아상소검측정도비교정전제고료일개수량급。교정산법주요계산량시쌍선성삽치，능보지아상소변연검측적실시성。
Method of Moments uses two-dimensional ideal edge model to describe sub-pixel edge,but the actual image exists a gradual change on the edge. Thus leads to a principle error that the two-dimensional ideal edge model cannot accurately describe the edge. This paper presents an algorithm which uses an error correction table to regulate error. This algorithm can reduce the principle error from the two-dimensional ideal edge model. And it improves the accuracy of sub-pixel edge detection. A two-dimensional error correction table is constructed after detecting an ideal image’ s sub-pixel edge by method of moments,and simulating the known edge of an ideal image by square sampling theorem. Error correction can be completed after computing the error by querying the error correction table combined with a bilinear interpolation. In a comparison test of gray moments and Zernike moments, experimental results show that compared with methods without regulation this method can effectively improve the accuracy of sub-pixel detection. For the main computational correction algorithm is bilinear interpolation,this method can maintain the real-time sub-pixel edge detection.