Recovery of a linear model parameter using three vanishing points from a single image of weak perspective projection

Yong-In Yun; Jang-Hwan Im; Jong Soo Choi

doi:10.1117/1.2778705

1 September 2007 Recovery of a linear model parameter using three vanishing points from a single image of weak perspective projection

Yong-In Yun, Jang-Hwan Im, Jong Soo Choi

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Optical Engineering, Vol. 46, Issue 9, 097001 (September 2007). https://doi.org/10.1117/1.2778705

Abstract

An essential role of model-based vision deals with the problem of solving for the values of all viewpoint and model parameters to be computed for the dimensions of an object for a three-dimensional (3-D) model. We propose a new method using only three vanishing points for recovering the dimensions of an object, its position, and the focal length of the camera from a single image of weak perspective projection. Our aim is to compute the dimension vector v of a model represented by the unit vector of objects from the image. The optimization of the dimension vector v for the object can be thus solved by the standard nonlinear optimization techniques with a multistart method that generates multiple starting points for the optimizer by sampling the parameter space uniformly. Experimental results demonstrate the dimension vector v of the proposed method for the 3-D model and show that the performance of the proposed method is better than the conventional. We also address that the actual dimensions of object from the image agree well with the simulated results from the single image of weak perspective projection.

©(2007) Society of Photo-Optical Instrumentation Engineers (SPIE)

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Yong-In Yun, Jang-Hwan Im, and Jong Soo Choi "Recovery of a linear model parameter using three vanishing points from a single image of weak perspective projection," Optical Engineering 46(9), 097001 (1 September 2007). https://doi.org/10.1117/1.2778705

Published: 1 September 2007

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KEYWORDS

3D modeling

Image restoration

Cameras

Visual process modeling

3D image reconstruction

Model-based design

3D image processing

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