CAJ | 학술논문

为提高由多幅二维图像解算出的空间坐标信息的精度，基于射影几何原理，提出一种像方空间与物方空间的几何形状计算方法。分析电荷耦合器件( CCD)相机成像射影几何原理，根据透视变换和交比不变性质，利用直线之间存在平行、垂直和相交等关系，建立基于直线特征的相机成像几何模型，已知相机参数，证明并推导像方空间二维影像和物方空间形状与坐标信息的几何转换关系。分析结果表明，该方法结合了整幅图像的几何信息，能提高空间点等几何特征的坐标信息计算精度，以及视觉测量和三维重建的精度。
위제고유다폭이유도상해산출적공간좌표신식적정도，기우사영궤하원리，제출일충상방공간여물방공간적궤하형상계산방법。분석전하우합기건( CCD)상궤성상사영궤하원리，근거투시변환화교비불변성질，이용직선지간존재평행、수직화상교등관계，건립기우직선특정적상궤성상궤하모형，이지상궤삼수，증명병추도상방공간이유영상화물방공간형상여좌표신식적궤하전환관계。분석결과표명，해방법결합료정폭도상적궤하신식，능제고공간점등궤하특정적좌표신식계산정도，이급시각측량화삼유중건적정도。
Aiming at enhancing the spatial coordinates precision solved by 2D images, a new method based on projective geometry for calculation of 3 D model coordinate transformation between image side and object side space is proposed. Charge Coupled Device ( CCD ) camera imaging geometric principle is analyzed based on perspective transformation and cross-ratio invariant properties. Imaging geometric model based on linear feature is established using the relationship of parallel,perpendicular and intersecting between straight lines. With acquired photographs and camera parameters,the shape and size of the corresponding scene space are deduced and proved on the basis of the cross ratio invariability of collinear points with perspective projection. The coordinate transformation between image side and object side space of the 3D model is calculated. And perspective correspondence from image side to object side space is built. Experimental results prove that the calculation accuracy of the spatial points coordinates can be enhanced by image geometric information. The method can be applied to enhance the precision of image feature extraction and location of geometric features such as circle, and to increase the measurement precisiong of the photogrammetry system and 3D coordinate reconstruction.