Download Image Reconstruction from Projections: Implementation and by G. T. Herman PDF
By G. T. Herman
Read Online or Download Image Reconstruction from Projections: Implementation and Applications PDF
Similar applied books
What units this quantity except different arithmetic texts is its emphasis on mathematical instruments wide-spread by means of scientists and engineers to resolve real-world difficulties. utilizing a different procedure, it covers intermediate and complex fabric in a fashion acceptable for undergraduate scholars. in line with writer Bruce Kusse's direction on the division of utilized and Engineering Physics at Cornell collage, Mathematical Physics starts with necessities akin to vector and tensor algebra, curvilinear coordinate structures, complicated variables, Fourier sequence, Fourier and Laplace transforms, differential and critical equations, and suggestions to Laplace's equations.
Balance of Non-linear Constitutive Formulations for Viscoelastic Fluids offers a whole and up to date view of the sector of constitutive equations for flowing viscoelastic fluids, particularly on their non-linear habit, the soundness of those constitutive equations that's their predictive strength, and the effect of those constitutive equations at the dynamics of viscoelastic fluid move in tubes.
Extra info for Image Reconstruction from Projections: Implementation and Applications
A two-dimensional p2-point discrete function is a mapping from 772 into tF. f,x g] (m)=f(m) x g(m). I'M x,q, is the M-point discrete function defined by Ef~-~ a] (m)=f(m) x g(m). The convolution product of discrete functions. )= ~ f(") a('"-"), n ~ -- 03 provided that the sum exists for all m. f(n),q(m-n). nEZ7M Theorem. I f f and 9 are two discrete functions and ,q is such that for some K >0 g(k)=0 whenever k
By the commutative and associative properties of discrete convolution, we could equivalently average the data, 9,, but this adds to the computing time (we only convolve H and qR once). This property is easily shown by computing the Fourier series coefficients of the Hamming window. [ [ct + (1 - a) cos (27r,,Yd)] exp ( - 2r~imXd)dX. Xd then H(m)= ~-n ~ o~ i (cosmU-isinmU)dU 2~ _~ d + ~ = [~+(1 - a ) c o s U] exp(-imU)dU ,f cos U (cos m U - i sin m U)d U a (1 - ~)/2 0 if m = 0 if Iml = 1 otherwise.
11a--d. Standard deviation of the noise as a function of position ill a reconstruction of pure noise for 30 projection angles. a Hidden line three-dimensional display - sampling method 1. b Value alo,lg x = 0 - sampling method 1 b . (ILl i] I 51 ,qt,lC E b Let u =x cosnA +ysinnA and u = - x s i n nA + y c o s h A . /(,/a-o 1'),1~.