Positional accuracy and sensitivity in x-ray stereo image guidance

Hang-yi Jiang; Hong Liu; Wei R. Chen; Laurie L. Fajardo M.D.

doi:10.1117/12.351530

9 July 1999 Positional accuracy and sensitivity in x-ray stereo image guidance

Hang-yi Jiang, Hong Liu, Wei R. Chen, Laurie L. Fajardo M.D.

Proceedings Volume 3595, Biomedical Diagnostic, Guidance, and Surgical-Assist Systems; (1999) https://doi.org/10.1117/12.351530
Event: BiOS '99 International Biomedical Optics Symposium, 1999, San Jose, CA, United States

Abstract

A mathematical model for x-ray stereo-image guidance system is present in this paper. Based on this model, the relationship between 3D point and its 2D image projection is expressed as a 4 X 4 transformation matrix, which is composed by a series of coordinate transformations including translation, rotation and perspective projection. The principle method to recover 3D object position from stereo- image pairs is derived according to the system model we presented. The 3D object positional accuracy and system sensitivity of the x-ray stereo-image guidance system is discussed, and effectiveness of system incoherent parameter is revealed. The result shows that the absolute positioning error is proportion to the absolute position of the object under world coordinate system, and the system sensitivity is inversely proportional to the object position. Our result is very helpful to determine the system parameters in building a costly prototype. Such parameters include x-ray tubes separation, detector size, digital image resolution, SID and so on. The experiment was performed and the result was consistent with the expected value predicated by theoretic analysis. Our promising application of this method lies in digital mammography imaging guidance, but applications in other types of radiographic imagine are possible also.

Citation Download Citation

Hang-yi Jiang, Hong Liu, Wei R. Chen, and Laurie L. Fajardo M.D. "Positional accuracy and sensitivity in x-ray stereo image guidance", Proc. SPIE 3595, Biomedical Diagnostic, Guidance, and Surgical-Assist Systems, (9 July 1999); https://doi.org/10.1117/12.351530

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