计算机辅助设计与图形学学报
計算機輔助設計與圖形學學報
계산궤보조설계여도형학학보
JOURNAL OF COMPUTER-AIDED DESIGN & COMPUTER GRAPHICS
2015年
1期
106-113
,共8页
李翔%唐东川%杨涛%谢敬辉%刘越
李翔%唐東川%楊濤%謝敬輝%劉越
리상%당동천%양도%사경휘%류월
多投影显示%几何校正%重投影误差%误差分析
多投影顯示%幾何校正%重投影誤差%誤差分析
다투영현시%궤하교정%중투영오차%오차분석
multi-projector display%geometric calibration%reprojection error%error analysis
近年来,投影拼接显示技术在展览展示、产品发布、虚拟仿真等领域得到了广泛的应用,但是目前还缺少完整的投影拼接几何校正误差评估方法。在深入分析多投影几何校正特点的基础上提出了一套较为完整的误差评估方法,分为自相关投影拼接误差(投影机自身几何校正之后所产生的误差)以及互相关投影拼接误差(多台投影机之间叠加区域的配准误差);首先提出了自相关投影拼接误差的关键参数——重投影误差(描述了每台投影机投影图像中每个像素点与预期投影位置的接近程度),并使用平均重投影误差、最大重投影误差以及关键点配准误差完善自相关投影拼接误差的评估体系;然后提出了互相关投影拼接误差的关键参数——叠加区域误差(表示投影机之间叠加区域对应像素点之间的匹配程度),并使用平均叠加区域误差、最大叠加区域误差完善互相关投影拼接误差的评估体系;最后使用该方法对平面投影、曲面投影、自由表面投影拼接的几何校正误差进行了分析。理论分析和实验结果表明,提出的误差评估方法能够有效地评估投影几何校正的精度。
近年來,投影拼接顯示技術在展覽展示、產品髮佈、虛擬倣真等領域得到瞭廣汎的應用,但是目前還缺少完整的投影拼接幾何校正誤差評估方法。在深入分析多投影幾何校正特點的基礎上提齣瞭一套較為完整的誤差評估方法,分為自相關投影拼接誤差(投影機自身幾何校正之後所產生的誤差)以及互相關投影拼接誤差(多檯投影機之間疊加區域的配準誤差);首先提齣瞭自相關投影拼接誤差的關鍵參數——重投影誤差(描述瞭每檯投影機投影圖像中每箇像素點與預期投影位置的接近程度),併使用平均重投影誤差、最大重投影誤差以及關鍵點配準誤差完善自相關投影拼接誤差的評估體繫;然後提齣瞭互相關投影拼接誤差的關鍵參數——疊加區域誤差(錶示投影機之間疊加區域對應像素點之間的匹配程度),併使用平均疊加區域誤差、最大疊加區域誤差完善互相關投影拼接誤差的評估體繫;最後使用該方法對平麵投影、麯麵投影、自由錶麵投影拼接的幾何校正誤差進行瞭分析。理論分析和實驗結果錶明,提齣的誤差評估方法能夠有效地評估投影幾何校正的精度。
근년래,투영병접현시기술재전람전시、산품발포、허의방진등영역득도료엄범적응용,단시목전환결소완정적투영병접궤하교정오차평고방법。재심입분석다투영궤하교정특점적기출상제출료일투교위완정적오차평고방법,분위자상관투영병접오차(투영궤자신궤하교정지후소산생적오차)이급호상관투영병접오차(다태투영궤지간첩가구역적배준오차);수선제출료자상관투영병접오차적관건삼수——중투영오차(묘술료매태투영궤투영도상중매개상소점여예기투영위치적접근정도),병사용평균중투영오차、최대중투영오차이급관건점배준오차완선자상관투영병접오차적평고체계;연후제출료호상관투영병접오차적관건삼수——첩가구역오차(표시투영궤지간첩가구역대응상소점지간적필배정도),병사용평균첩가구역오차、최대첩가구역오차완선호상관투영병접오차적평고체계;최후사용해방법대평면투영、곡면투영、자유표면투영병접적궤하교정오차진행료분석。이론분석화실험결과표명,제출적오차평고방법능구유효지평고투영궤하교정적정도。
In recent years, multi-projector display technique has been widely applied in such fields as exhibition, release of new product and virtual simulation etc. However, up to now there is not a complete set of multi-projector geometric calibration error analysis method. In this paper, a set of error assessment methods is proposed based on the analysis of the characteristics of multi-projector geometry calibration, including autocorre-lation projection error (i.e. errors from the projector itself after the geometric correction) and cross-correlation projection error (i.e. errors between adjacent projectors). Firstly, the key parameter of the autocorrelation projec-tion error (i.e. reprojection error) is proposed, which describes the accuracy between the real position of each pixel point and the expected position. Average reprojection error, maximum reprojection error and key points match error are used to improve the system. Secondly, the key parameter of the cross-correlation projection error (i.e. overlay area error) which describes the accuracy of the corresponding pixels between the adjacent projectors is proposed, and average overlay area error and maximum overlay area error are used to improve the evaluation system. Finally, the proposed method is used to analyze the projection errors of plane surfaces, curved surfaces and arbitrary display surfaces. Theoretical analysis and experimental results demonstrate that the proposed method can effectively evaluate the accuracy of multi-projector geometry calibration.