====Image Preprocessing ==== * Briefly explain the two types of image distortion * Given U=AX, what is A called? * Write the above in matrix notation (no coordinates given, just (x_k, \y_k)). * Name one interpolation method and describe briefly. ====Defect pixel interpolation==== * Write down the Band limitation algorithm/steps. * State 2 disadvantages of bandlimitation * Defect pixel interpolation in frequency domain (equation derivation) ====Sinograms (Fan Beam), 3D Reconstruction==== * What is above image called (sinogram) * Label the x- and y- axis of the diagram, briefly explain how we get sinogram from measured CT values. * Map sinogram on to X-Y plane by describing or drawing * State Orlov’s condition * Draw on the unit sphere one example that satisfies Orlov’s condition and one example that doesn’t. ====Iterative Reconstruction==== * Kaczmarz Method given, what's another name for this method (//Algebraic Reconstruction Technique//) * Given x_(i+1)= x_i +λn, derive for x_i. * What is the main drawback of this method? (//Slow convergence is the main drawback of ART.//) * Give alternate options. (//Simultaneous ART (SART) and Simultaneous Iterative Reconstruction Technique (SIRT)//) ====Rigid Registration==== * Properties of Rotation Matrix * Fill in the blanks for optimization problem for 2-D rigid registration (pk, qk, Rotation and Translation Equation). ====SVD==== * Applications of SVD (MCQ) * Are the singular values randomly arranged or in decreasing order diagonally and are they non-negative or negative values? (MCQ)