光学学报
光學學報
광학학보
ACTA OPTICA SINICA
2009年
11期
3136-3142
,共7页
张灵飞%陈刚%叶东%车仁生
張靈飛%陳剛%葉東%車仁生
장령비%진강%협동%차인생
测量%机器视觉%相机标定%一维标定物%进化策略%不受限运动%模拟退火
測量%機器視覺%相機標定%一維標定物%進化策略%不受限運動%模擬退火
측량%궤기시각%상궤표정%일유표정물%진화책략%불수한운동%모의퇴화
measurement%machine vision%cameras calibration%one-dimensional reference object%evolutionary strategy%unconstrained motion%simulated annealing
为了解决运动参数光电探测过程中的相机标定问题,制作一种两端及中间各安装一个红外反光标记球的一维标定物.不需要其它复杂标定装置,只要将这种特制的一维标定物在测量空间内多次随意移动并摄取其图像,即可实现标定.算法首先假定主点位于像面中心附近的某个位置,再求出焦距、旋转矩阵、平移向量和比例因子,最后通过评价函数将相机标定转换成寻找两相机最佳主点对的非线性最小化问题.在传统进化策略中引进个体的自我改进系数、个体间距离等概念,提出了求取子代个体间的欧式距离并排序的方法,设计了搜索最佳主点对的改进型进化策略算法.与传统标定方法相比,基于一维标定物的方法克服了多相机场合的遮挡问题,改进进化策略的引入打破了一维标定物需做某种特殊运动的限制,使一维标定物自由运动时相机内、外参数的同时求解成为可能,改进的模拟退火进化策略改善了算法的全局收敛性能并加快了收敛速度.
為瞭解決運動參數光電探測過程中的相機標定問題,製作一種兩耑及中間各安裝一箇紅外反光標記毬的一維標定物.不需要其它複雜標定裝置,隻要將這種特製的一維標定物在測量空間內多次隨意移動併攝取其圖像,即可實現標定.算法首先假定主點位于像麵中心附近的某箇位置,再求齣焦距、鏇轉矩陣、平移嚮量和比例因子,最後通過評價函數將相機標定轉換成尋找兩相機最佳主點對的非線性最小化問題.在傳統進化策略中引進箇體的自我改進繫數、箇體間距離等概唸,提齣瞭求取子代箇體間的歐式距離併排序的方法,設計瞭搜索最佳主點對的改進型進化策略算法.與傳統標定方法相比,基于一維標定物的方法剋服瞭多相機場閤的遮擋問題,改進進化策略的引入打破瞭一維標定物需做某種特殊運動的限製,使一維標定物自由運動時相機內、外參數的同時求解成為可能,改進的模擬退火進化策略改善瞭算法的全跼收斂性能併加快瞭收斂速度.
위료해결운동삼수광전탐측과정중적상궤표정문제,제작일충량단급중간각안장일개홍외반광표기구적일유표정물.불수요기타복잡표정장치,지요장저충특제적일유표정물재측량공간내다차수의이동병섭취기도상,즉가실현표정.산법수선가정주점위우상면중심부근적모개위치,재구출초거、선전구진、평이향량화비례인자,최후통과평개함수장상궤표정전환성심조량상궤최가주점대적비선성최소화문제.재전통진화책략중인진개체적자아개진계수、개체간거리등개념,제출료구취자대개체간적구식거리병배서적방법,설계료수색최가주점대적개진형진화책략산법.여전통표정방법상비,기우일유표정물적방법극복료다상궤장합적차당문제,개진진화책략적인입타파료일유표정물수주모충특수운동적한제,사일유표정물자유운동시상궤내、외삼수적동시구해성위가능,개진적모의퇴화진화책략개선료산법적전국수렴성능병가쾌료수렴속도.
To calibrate the intrinsic and extrinsic parameters of cameras in motion parameters photoelectric measurement system, a novel approach based on improved evolutionary strategy and surveying a rigid one-dimensional object carrying three markers on its middle and extremities moved inside the working volume, which does not require other complex calibration equipments, was proposed in this paper. Firstly, it is assumed that the principal point is located at a certain location around the image plane center. Then the focal length of cameras, the rotation matrix, translation vector and the scale factor are obtained. Finally, the estimation of intrinsic and extrinsic parameters of cameras is formulated as a nonlinear minimization problem of a cost function. The simulated annealing evolutionary strategy algorithm was improved by introducing the self-improved factor and the Euclidean distance between individual. Consequently the global convergence performance of the search algorithm of this method was mended and accelerated. By introducing the evolutionary strategy, the new method can find out the intrinsic and extrinsic parameters all together, and need not constrain the movement of the one-dimensional object in comparison with traditional methods.