Abstract
Abstract. The paper presents a novel method to measure 3-D deformation of a large metallic frame structure of a crane under loading from one to several images, when the cameras need to be attached to the self deforming body, the structure sways during loading, and the imaging geometry is not optimal due to physical limitations. The solution is based on modeling the deformation with adequate shape functions and taking into account that the cameras move depending on the frame deformation. It is shown that the deformation can be estimated even from a single image of targeted points if the 3-D coordinates of the points are known or have been measured before loading using multiple cameras or some other measuring technique. The precision of the method is evaluated to be 1 mm at best, corresponding to 1:11400 of the average distance to the target.
Highlights
Image-based deformation measurement is typically based on a stationary camera set-up
The task deals with measuring the deformation of a large metallic frame structure of a crane when it is loaded with a weight of 40000 kg
We propose to address the crane deformation problem by modeling the deformation with appropriate shape functions, the parameters of which are solved in a least squares adjustment minimizing the difference between observed and modeled image coordinates of circular target points attached onto the object
Summary
Image-based deformation measurement is typically based on a stationary camera set-up. The cameras may move but there is something in the object space which remains the same so that the orientation of the cameras can be solved before and after deformation with respect to a common coordinate system. The task deals with measuring the deformation of a large metallic frame structure of a crane when it is loaded with a weight of 40000 kg. The cameras need to be attached to the deforming frame so that they move when the object deforms neither there is anything stable in the scene which could be used to link the camera orientations to the same system before and after deformation. The structure sways during loading so that the image capturing needs to be synchronized. The cameras are considered to move from one orientation to another and the measuring to occur in temporary static conditions in both orientations
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