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可變階數(shù)NURBS曲面的相機(jī)標(biāo)定模型
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國家自然科學(xué)青年基金項目(31801259)


Variable Order NURBS Surface Model for Camera Calibration
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    摘要:

    農(nóng)用機(jī)器人對作業(yè)對象的定位、測量和識別等都需要借助視覺系統(tǒng)(相機(jī))來完成,因此相機(jī)標(biāo)定精度至關(guān)重要。提出一種可變階數(shù)NURBS曲面的相機(jī)標(biāo)定模型,即在像平面的高失真區(qū)域應(yīng)用較高階數(shù)的NURBS曲面模型作為標(biāo)定依據(jù),其他區(qū)域用較低階數(shù)的NURBS曲面模型,在不過多增加標(biāo)定計算負(fù)擔(dān)的前提下,提高了整體的標(biāo)定精度。該模型應(yīng)用標(biāo)定誤差的預(yù)評估方法將像平面進(jìn)行“區(qū)塊”劃分,依此匹配模型階數(shù),實現(xiàn)標(biāo)定精度和計算量的綜合優(yōu)化。由于NURBS曲面隱式標(biāo)定模型的優(yōu)越性能,使標(biāo)定不依賴于相機(jī)的光學(xué)特性,理論上可校正相機(jī)的所有失真。實驗結(jié)果表明,標(biāo)定平均誤差在0.89mm以內(nèi),可滿足農(nóng)用機(jī)器人的應(yīng)用要求。

    Abstract:

    For an agricultural robot, camera vision implements the function of detecting ripeness, shape, size of crops and locating the stems precisely in order to harvest with no damage. A common calibration model with adjustable accuracy was needed to achieve higher precision in cooperative works of certain manipulator and CCD cameras. Creatively, a variable order NURBS surface model for camera calibration was presented. Firstly, seven images were acquired by a slide way and a calibration board of A0 size. The data was extracted afterward. Based on the thought of NPBS method, four double NURBS surface calibration models with order of 3, 4, 5 and 6 were setup respectively using data of five images (index:1, 3, 4, 5 and 7). Other two images (index: 2 and 6) were used to evaluate the calibration error. According to the requiring preciseness and the calculating time, the models of order 3 and 4 were chosen to accomplish model switching (higher order models can be chosen according to higher precision requirement). Secondly, camera image plane was subdivided evenly with respect to parameter (u, v). In each subdivision, an arithmetic average deviation of calibration was calculated by using the model with lower order. Then a threshold was determined, and the diagram of model switching was formed. That meant using a higher order NURBS surface model in the higher distortion region, vice versa. Thus, orders of the NURBS surface model can be chosen according to subdivision of the image plane based on preevaluation of the calibration error. In experiments,it was proved that the average calibration error was under 0.89mm. It was accurate enough for our agricultural robot prototype.

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徐立國,孫瑞東,黨敬民.可變階數(shù)NURBS曲面的相機(jī)標(biāo)定模型[J].農(nóng)業(yè)機(jī)械學(xué)報,2020,51(8):420-426. XU Liguo, SUN Ruidong, DANG Jingmin. Variable Order NURBS Surface Model for Camera Calibration[J]. Transactions of the Chinese Society for Agricultural Machinery,2020,51(8):420-426.

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  • 收稿日期:2020-03-23
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  • 在線發(fā)布日期: 2020-08-10
  • 出版日期: 2020-08-10