Part 1. A brief overview of Euclidean and affine Geometry, geometric transformations. Differential geometry of curves and surfaces in E3. Bézier curves and Bernstein polynomials. Spline (degree 2 and 3), Bézier surfaces patches, Coons surfaces. Points and curves interpolation, Hermite interpolation.
Part 2. Main properties of digital images and image representation. Basic algorithms for image analysis (edge detection, denoising, segmentation). Image coding and image transforms, introduction to Wavelet transform and compression. Introduction to Subdivision Scheme. Notes on segmentation and the calculus of variations. Introduction to image processing in MATLAB.