Accurate perspective projection calculation using a pixel-pyramid model for iterative cone beam reconstruction

Zikuan Chen; Ruola Ning; David L. Conover

doi:10.1117/12.480196

5 June 2003 Accurate perspective projection calculation using a pixel-pyramid model for iterative cone beam reconstruction

Zikuan Chen, Ruola Ning, David L. Conover

Author Affiliations +

Proceedings Volume 5030, Medical Imaging 2003: Physics of Medical Imaging; (2003) https://doi.org/10.1117/12.480196
Event: Medical Imaging 2003, 2003, San Diego, California, United States

Abstract

The calculation of perspective projection is the essential part in either cone-beam projection or realistic volume rendering. In this paper, we propose a pixel-pyramid model to accurately calculate pixel values in flat-panel-based cone-beam reconstruction. This model faithfully portrays the divergent beam projection on a grilled planar detector. It consists of a pyramidal base (detector pixel facet) and an apex (X-ray source). Through spatial clipping by a flat-panel detector (FPD), a cone is tailored into a pyramid with the base at the FPD, called FPD pyramid, which is then spatially decomposed into pyramidal elements (PYREL). During cone-beam projection, a PYREL intersects the 3D object and produces a frustum, wherein the voxels are accumulated to produce a pixel value. In backprojection, the pixel value is imparted to the same contributive voxels. A voxel’s weight (contribution to a PYREL) is determined by spatial overlapping, which is a piecewise linear function. Through iterative algorithm, accurate cone beam reconstruction is achieved. Since the pyrel model portrays the perspective projection geometry and the voxel weight in a more natural fashion, it can be used for accurate calculation of perspective projection, especially in dealing with severe incomplete data. Simulations and comparisons are provided.

Citation Download Citation

Zikuan Chen, Ruola Ning, and David L. Conover "Accurate perspective projection calculation using a pixel-pyramid model for iterative cone beam reconstruction", Proc. SPIE 5030, Medical Imaging 2003: Physics of Medical Imaging, (5 June 2003); https://doi.org/10.1117/12.480196

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