Estimation of Rotation Parameters from Blurred Image

  • Qian Li
  • Shi-gang Wang
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4179)


Many industrial applications involve rotations. Different from traditional measurements, we propose a novel vision method based on image motion blur to estimate angular velocity and angular displacement in this paper. First, we transform 2D rotation to 1D translational motion by sectoring rotation blurred image. Then we use mathematical models in spatial and frequency domain to analyze translation blurred images. According to mathematical models in frequency domain, there is a series of dark parallel lines on the spectrum of the translation blurred image. These dark lines are exactly related to the velocity of translation and exposure time. Furthermore, based on the geometric relationship between rotation and translation, these dark lines are also related to angular velocity. Both simulation results and real experimental results, based on the proposed method in this paper, are provided. These results demonstrate the feasibility and efficiency of proposed method.


Angular Velocity Point Spread Function Angular Displacement Rotation Parameter Motion Blur 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Qian Li
    • 1
  • Shi-gang Wang
    • 1
  1. 1.Mechatronics Design & Automation Technology Institute, School of Mechanical EngineeringShanghai Jiao Tong UniversityP.R. China

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