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Perspective projection for pinhole camera Graph+All names 9
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Find equations for scene points x,y → image points u,v 9
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Find disparity equation for stereo system (graph + demo) 11
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Explain what an epipole is and why we rectify them 12
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Define vanishing point and explain how to find it 13
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Explain why we use lenses 15
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Give thin lenses equations and equation fur u and v 15
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Explain what circles of confusions are 16
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Define the depth of field 17
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explain why we use a diaphragm 17
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Define F numbers 17
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Explain how autofocus works 17
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Define sampling and quantization+ eq for memory size of picture 18
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Give the two main sensors technologies for cameras 19
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Give PRO/CON for CMOS and CCD technologies 19
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Explain two ways to denoise images 20
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Define SNR and give equation (relation with parameters) 20
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Give four noise sources and explain them 20
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Define dynamic range + equation 21
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Define High dynamic range 21
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Explain how to achieve color images + impact on resolution 22
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Explain RGB /HSI/LAB color spaces 22
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Explain what projective space is 23
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How are points at infinity represented in projective space ? Use line example 23
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Give perspective projection linking m_tilde to M_tilde threw P_tilde 25
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Define perspective projection matrix P_tilde 26
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Define cannonical/standard PPM 26
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Give demo of vanishing points using projective space 26
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Giive the two issues we have to solve for a good camera model 26
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Explain transformation linked to image digitalization (equations) 26
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Define intrinsic parameter matrix + link with PPM 27
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define WRF and CRF 27
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demo to get relation between m_tilde and W_tilde 27
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Give general PPM form 27
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Define extrinsic parameter matrix 28
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Define homographies and give 4 possible configurations with graph and proof 28
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Explain two main effects of lens distortions 28
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Give equation of lens distortion + approximation tyler 28
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Give the image formation flow 29
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Define calibration and the two main approaches 30
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Draw the zang method flowchart + basic assumptions 30
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Give P as a homograpphy + nbr éq needed 31
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Give DLT algorithm used to determine H via SVD 32
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Explain SVD method 33
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Explain the general way to obtain algebraic vs geometric error 33
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Give equation for H using Least Square reprojection error 33
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Do demo to find intrinsic parameters based on H 35
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Do the demo to find extrisic parameters 36
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Do demo to find lens distortion coeficients 37
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Explain how to raffine using repropjection error (A, R and T ) with the name of the algorithm 37
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Define what a wrapping is 37
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Define forward / backward mapping + pros/cons 38
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Explain + equation billinear mapping 39
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Explain the naive way of calibrating a stereo camera 37
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Explain demo to find hopmographies with stereo camera calibration (New PPMs and homographies) 37
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Démo + éq to retreive 3D coord of stereo camera data 37
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Explain why gray level histograms are usefull 40
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Define LTE in spacial filtering 46
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Equation for LTE linearity and translation equivalence 46
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Define the impulse response 47
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Give the equation of the 2D convolution + 4 propreties 48
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Visual representation of a 2D concolution 48
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Equation of correlation + 4 propreties 49
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Visual representation of 2D correlation 49
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3 propreties of correlation and convolution relations 50
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Give the discrete equation of convolution + how to compute it 50
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What happens ate the borders when using a convolution ? 51
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Explain mean filtering + convolution method + kernel size tradeoff 51
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Define size and scale 51
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Explain gaussian filtering + convolution method + variance vs size usual rule of thumb 53
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Explain median filter and give an example of application 55
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In wich order to perform median / linear filtering ? why ? 56
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Explain and give equations of the billinear filter 56
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Explain and give the equations of the non local mean filte 57
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Expplain image binarization 59
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Explain intensity thresholding + limitation 60
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Give 3 automatic threshold selection method 61
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Explain equations of otsu’s threshold algorithm 62
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Exoplain adaptive thresholding and why it is needed 64
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Explain coulour bases segmentation + equations 64
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Why is eucidian distance not enough for color segmentation ? 65
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define Mahalanobis distance + equations + justification of diagonalisation 67
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Explain dilation, erosion, opening and closing 69
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Define BLOBS 74
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Define 4-neighbours / 8-neighbours connectivity 75
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Define connected regions 76
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Explain blob area / barycentre / Perimeter / orientation 81
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Explain blob elongatedness / Rectangularity / ellipticity 89
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Define an edge 92
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Explain simple threshold on derivative method (graph+eq) 92
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Define with graph and equation backward / central / forward discrete gradient approximation 94
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Why is noise a problem for edge detectors ? 95
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Explain with equations and graphs the smoothing derivative edge dectors operators 95
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Explain prewitt and sobel edge detector operators + équations 96
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NMS : concept + graph with gradient + pixel visualization + flowchart 97
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Define the laplacian + discrete operations + kernel 99
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Explain LOG edge detector / 3 steps / sigma impact / final thresholding 100
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3 criteriums for a good edge detector 102
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Canny’s edge detector / concept / flowchart / result 104
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Give the three steps opf establishing correspondances in images 106
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