CAJ | 학술논문

基于绝对对偶二次曲面的线性自标定方法因为算法简单，并能解决可变参数的自标定问题，常用于为其他非线性自标定算法或捆集调整提供标定初值。针对传统线性自标定方法中反复出现的绝对对偶二次曲线的对偶图像不正定与最小二乘解的局限问题，提出了一种新的基于半正定规划的自标定方法。算法通过在求解过程中约束绝对对偶二次曲面的半正定性与其可行域范围，从而确保能够对DIAC （Dual of the Image of the Absolute Conic ）分解得到内参数矩阵，并使内参数在更合理的范围内取值。通过合成数据和真实图像数据实验，证明了算法的有效性和鲁棒性。
기우절대대우이차곡면적선성자표정방법인위산법간단，병능해결가변삼수적자표정문제，상용우위기타비선성자표정산법혹곤집조정제공표정초치。침대전통선성자표정방법중반복출현적절대대우이차곡선적대우도상불정정여최소이승해적국한문제，제출료일충신적기우반정정규화적자표정방법。산법통과재구해과정중약속절대대우이차곡면적반정정성여기가행역범위，종이학보능구대DIAC （Dual of the Image of the Absolute Conic ）분해득도내삼수구진，병사내삼수재경합리적범위내취치。통과합성수거화진실도상수거실험，증명료산법적유효성화로봉성。
Camera self-calibration methods use the image data only ,and determine the camera model up to a similarity trans-formation .The absolute dual quadric based linear camera self-calibration method is often used to find an initial solution of the cam-era parameters due to its simplicity and effectiveness .According to the non-positive definiteness of dual image of absolute conic (DIAC ) ,we introduce a semi-definite programming based self-calibration method .It constrains the semi positive definiteness and the validness of intrinsic parameters .The experimental results on both synthetic data and real images verify the effectiveness and ro-bustness of the algorithm .