CAJ | 학술논문

系统参数标定是结构光三维测量系统的关键问题之一，标定板特征圆圆心检测精度与投影仪、相机镜头gamma效应引起的相位误差是系统参数标定的主要误差来源。采用Sobel算子粗定位标定板特征圆的边缘点，以正交傅里叶-马林矩（O FM M ）算子对边缘点进行亚像素定位，用椭圆拟合法确定特征圆圆心的方法提高标定板特征圆检测精度。同时，推导结构光三维测量系统gamma非线性数学模型，将计算得到的系统gamma值的倒数作为投影正弦光栅的指数以降低gamma效应引起的相位误差。实验结果证明了该方法的准确性，与不采用亚像素边缘检测与gamma校正相比，X、Y 方向的标定精度分别提高约3．5倍与5倍。
계통삼수표정시결구광삼유측량계통적관건문제지일，표정판특정원원심검측정도여투영의、상궤경두gamma효응인기적상위오차시계통삼수표정적주요오차래원。채용Sobel산자조정위표정판특정원적변연점，이정교부리협-마림구（O FM M ）산자대변연점진행아상소정위，용타원의합법학정특정원원심적방법제고표정판특정원검측정도。동시，추도결구광삼유측량계통gamma비선성수학모형，장계산득도적계통gamma치적도수작위투영정현광책적지수이강저gamma효응인기적상위오차。실험결과증명료해방법적준학성，여불채용아상소변연검측여gamma교정상비，X、Y 방향적표정정도분별제고약3．5배여5배。
System parameter calibration is crucial to structure light three-dimension measure-ment system .The calibration error is mainly due to the detection accuracy of the characteristic circular center of calibration board and the gamma distortion of the projector and camera .An accurate circular center detection method and a gamma pre-calibration method were proposed to improve calibration accuracy .The pixel edge detection with Sobel operator and sub-pixel edge detection with orthogonal Fourier-Mellin moments (OFMM ) operator were used to detect the circular edge accurately ,moreover ,the circular center was detected by ellipse fitting method . The gamma nonlinear distortion model was analyzed to obtain the system gamma value ,whose reciprocal was used to modify the ideal sinusoidal fringe pattern as its exponent .The experi-mental results show the effectiveness of the methods .The calibration accuracy increases by a factor of 3 .5 in X direction and 5 in Y direction compared with that without these methods .