A New Linearization Method For Imaging Model And Numerical Analysis In Applications

As one of the most important basic photogrammetry theories, the collinear equation has been applied wildly. Traditionally, the linearization of the collinear equation adopts partial derivative. Based on partial differential theory, this article proposes a new way to linearize the imaging model, then the new method is applied to different sensors photogrammetry. After the numerical analysis, experimental results verify that the new linearization models excel at traditional ones on a certain condition.The article primarily makes research as following:1, The mathematical relation between the two formats of the collinear equation is calculated. Based on partial differential theory, a new form of linearization imaging model is proposed.2, The new model is applied to space resection of the frame images, exterior orientation model of the plane array CCD images, then the experimental results are compared with the traditional ones.3, The exterior orientation model of the single array CCD images is established based on the new model. In addition, a arithmetic of generalized ridge estimate parameter is proposed and good experimental results are received.4, The bundle block adjustment model is established based on the new model. The results are compared with traditional ones as well.