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Lecture Digital image processing - Lecture 9: Interpolation and Resampling

After studying this chapter you will be able to understand: Fundamentals of computer graphics third edition by peter shirley and steve marschner, interactive computer graphics, a top-down approach with OpenGL (Sixth Edition) by Edward Angel. | Digital Image Processing CCS331 Interpolation and Resampling 1 Summery of previous lecture Calibration of the camera Extracting the 3D point from 2 images which is also known as stereo images Stereo correspondence problem complexity 2 Todays lecture Why and when, do we need image interpolation and image resampling. Interpolation operation Algorithms for different image transformations and the needed interpolation operations. 3 4 5 Interpolation and image resampling 1 dimensional signal which are represented by f S (t). 6 Properties of the interpolation B spline function satisfies all these 3 properties we need 7 8 9 10 Nature of B spline functions The region of support for this cubic function is 5 points The region of support for quadratic function is 4 points The region of support for the linear B spline is 3 points The region of support for 1 is 2 points. In all cases, the region of support is finite. 11 interpolation 12 Interpolation 13 14 Change in shift 15 interpolating the function 16 interpolating the function 17 interpolating the function 18 interpolating the function 19 Results, constant interpolation 20 Results, constant interpolation 21 Results, cubic 22 Summery of the lecture Why and when, do we need image interpolation and image resampling. Interpolation operation Algorithms for different image transformations and the needed interpolation operations. 23 References Prof .P. K. Biswas Department of Electronics and Electrical Communication Engineering Indian Institute of Technology, Kharagpur Gonzalez R. C. & Woods R.E. (2008). Digital Image Processing. Prentice Hall. Forsyth, D. A. & Ponce, J. (2011).Computer Vision: A Modern Approach. Pearson Education. . | Digital Image Processing CCS331 Interpolation and Resampling 1 Summery of previous lecture Calibration of the camera Extracting the 3D point from 2 images which is also known as stereo images Stereo correspondence problem complexity 2 Todays lecture Why and when, do we need image interpolation and image resampling. Interpolation operation Algorithms for different image transformations and the needed interpolation operations. 3 4 5 Interpolation and image resampling 1 dimensional signal which are represented by f S (t). 6 Properties of the interpolation B spline function satisfies all these 3 properties we need 7 8 9 10 Nature of B spline functions The region of support for this cubic function is 5 points The region of support for quadratic function is 4 points The region of support for the linear B spline is 3 points The region of support for 1 is 2 points. In all cases, the region of support is finite. 11 interpolation 12 Interpolation 13 14 Change in shift 15 interpolating the function 16 interpolating the function 17 interpolating the function 18 interpolating the function 19 Results, constant interpolation 20 Results, constant interpolation 21 Results, cubic 22 Summery of the lecture Why and when, do we need image interpolation and image resampling. Interpolation operation Algorithms for different image transformations and the needed interpolation operations. 23 References Prof .P. K. Biswas Department of Electronics and Electrical Communication Engineering Indian Institute of Technology, Kharagpur Gonzalez R. C. & Woods R.E. (2008). Digital Image Processing. Prentice Hall. Forsyth, D. A. & Ponce, J. (2011).Computer Vision: A Modern Approach. Pearson Education. 24