铁道科学与工程学报
鐵道科學與工程學報
철도과학여공정학보
JOURNAL OF RAILWAY SCIENCE AND ENGINEERING
2010年
1期
84-88
,共5页
傅勤毅%刘姣姣%邱志强%马广
傅勤毅%劉姣姣%邱誌彊%馬廣
부근의%류교교%구지강%마엄
轨检车%摄像机成像模型%畸变模型%最小二乘法解
軌檢車%攝像機成像模型%畸變模型%最小二乘法解
궤검차%섭상궤성상모형%기변모형%최소이승법해
track inspection equipment%camera imaging model%distortion modal%least squares method
将靶标设定为一个辅助平面,建立辅助平面坐标系进行2步标定:第1步求取靶标面与像平面的对应透视关系;第2步求取空间坐标系与辅助平面坐标系的透视关系.研究结果表明:相对于传统标定法,该方法同时考虑径向畸变和切向畸变,提高了目标点定位精度;建立隐式数学模型而非直接标定摄像机内外参数,简化了标定.且将畸变量包含与隐式方程中不用实际求出畸变量,所以不要求靶标与摄像机成特殊位置;两步均用最小二乘法快速求解线性方程,简便快速;采用对特征圆标号的高精度标定模板,特征圆心可以精准提取,标定图像有较高的鲁棒性.
將靶標設定為一箇輔助平麵,建立輔助平麵坐標繫進行2步標定:第1步求取靶標麵與像平麵的對應透視關繫;第2步求取空間坐標繫與輔助平麵坐標繫的透視關繫.研究結果錶明:相對于傳統標定法,該方法同時攷慮徑嚮畸變和切嚮畸變,提高瞭目標點定位精度;建立隱式數學模型而非直接標定攝像機內外參數,簡化瞭標定.且將畸變量包含與隱式方程中不用實際求齣畸變量,所以不要求靶標與攝像機成特殊位置;兩步均用最小二乘法快速求解線性方程,簡便快速;採用對特徵圓標號的高精度標定模闆,特徵圓心可以精準提取,標定圖像有較高的魯棒性.
장파표설정위일개보조평면,건립보조평면좌표계진행2보표정:제1보구취파표면여상평면적대응투시관계;제2보구취공간좌표계여보조평면좌표계적투시관계.연구결과표명:상대우전통표정법,해방법동시고필경향기변화절향기변,제고료목표점정위정도;건립은식수학모형이비직접표정섭상궤내외삼수,간화료표정.차장기변량포함여은식방정중불용실제구출기변량,소이불요구파표여섭상궤성특수위치;량보균용최소이승법쾌속구해선성방정,간편쾌속;채용대특정원표호적고정도표정모판,특정원심가이정준제취,표정도상유교고적로봉성.
The method sets a assistant plane and establishes coordination on it.The process is divided into tow steps.The first step gets corresponding perspective relation between target plane and imaging plane.The second step gets perspective relation between assistant plane coordinate system and space coordinate system.By comparing with the traditional camera calibration methods,the method mentioned here takes full account of radial and tangential distortion to improve the location accuracy.To simplify the calibration,implicit model was used instead of calibrating parameters of the camera directly.The method does not consider distortion rather than embody the distortion in equation,that means the camera and the target must not be placed in special location.Step two does not refer to distortion.It is simple and fast to solve linear equations by using least squares.Using a special kind of central target,features can be extracted and the images of calibration have a high robustness.