WebFor this reason, in the first phase, the 3D Radon space is generated using CBP data after discretization and optimization of the famous Grangeat's formula. The method used in this process involves fast Pseudo Polar Fourier transform (PPFT) based on 2D and 3D Discrete Radon Transformation (DRT) algorithms with no wraparound effects. WebThe recent application of Fourier Based Iterative Reconstruction Method (FIRM) has made it possible to achieve high-quality 2D images from a fan beam Computed Tomography (CT) scan with a limited number of projections in a fast manner. The proposed methodology in this article is designed to provide 3D Radon space in linogram fashion to facilitate the …
Cureus The Formula of Grangeat for Tensor Fields of Arbitrary …
WebDownload scientific diagram Detector in Grangeat's relation; o, ρ, s, t represent the origin of coordinate, the radius of Radon sphere, the Radon mapping point is on the detector … WebJan 1, 2007 · Actually the relation we show reduces for m = 0 and n = 3 to the well-known formula of Grangeat. In that sense, the paper contains a generalization of Grangeat's formula to arbitrary tensor fields in any dimension. We further briefly explain the importance of that formula for the problem of tensor field tomography. Unfortunately, for m > 0, an ... shards crystal 语言依赖管理器
A novel approach to 2D/3D registration of X-ray images using Grangeat’s ...
WebJan 1, 2024 · Grangeat’S relation. Our proposed registration method makes use of Grangeat’s relation, which relates an object that is given by its attenuation field μ ( x) … WebGrangeat's formula requires sources on a curve C with the following property: Each plane meeting supp (f) contains at least one source. This condition is obviously not satisfied for … WebDownload scientific diagram (a) Principal algorithm flow of the Grangeat-based 2D/3D registration. Intermediate spaces are computed by pre-processing the 2D (projection) … shards chocolate