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Lecture
Image Processing II: Polynomial Splines
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Image Processing II
Explores image interpolation, splines, wavelets, and geometric transformations in image processing.
Error Analysis and Interpolation
Explores error analysis and limitations in interpolation on evenly distributed nodes.
Piecewise Linear Interpolation
Covers the concept of piecewise linear interpolation and the importance of dividing intervals correctly.
Distribution & Interpolation Spaces
Explores distribution and interpolation spaces, differential operators, Fourier transform, Schwartz space, fundamental solutions, Farrier transform, and uniform continuity.
Image Processing II: B-spline Properties and Gradient Operators
Explores B-spline properties, gradient operators, interpolation, and differentiation filters in image processing.
Lagrange Interpolation
Introduces Lagrange interpolation for approximating data points with polynomials, discussing challenges and techniques for accurate interpolation.
Interpolation by Intervals: Lagrange Interpolation
Covers Lagrange interpolation using intervals to find accurate polynomial approximations.
Nonlinear Equations: Interpolation and Error Analysis
Covers the interpolation of nonlinear functions using Lagrange polynomials and error analysis.
Splines: Least-Squares Method
Explores splines, emphasizing the least-squares method for interpolating splines and demonstrating its application using MATLAB.
Gauss-Legendre Quadrature Formulas
Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function approximation.
