| Date | Topic | Detailed Topic Overview / Material |
| Mon, Oct 16, 2006 | Introduction, Motivation and Overview | |
| Thu, Oct 19, 2006 | Linear Algebra Basics | 3D space linear spaces linear mappings and matrices
Literature: [HM1],[GSLA] |
| Mon, Oct 23, 2006 | Matlab Introduction (room MI 02.013.008) | MATLABWorkshop.pdf |
| Thu, Oct 26, 2006 | Linear Algebra Basics | linear systems and matrices determinants subspaces and basis kernel and rank
Literature: [HM1],[GSLA] |
| Mon, Oct 30, 2006 | Linear Algebra Basics | orthogonal bases and matrices change of basis eigenvalues and vectors
Literature: [HM1],[GSLA] |
| Thu, Nov 2, 2006 | no class due to Siemens field trip | |
| Mon, Nov 6, 2006 | Exercise: Linear Algebra Basics Applications | Singular Value Decompostion (SVD) (slides) Pseudo-Inverse
Literature: [HM1],[GSLA]
BMexercise01.pdf |
| Thu, Nov 9, 2006 | Exercise: Linear Algebra Basics Applications | Application of Singular Value Decompostion (SVD) Application of Pseudo-Inverse Image Warping (Backward and Forward Warping) Interpolation Techniques (Nearest Neighbor, Bilinear Interpolation)
BMexercise02.pdf Additional Material (Matlab Stubs, Test Image, Short Description)
Extra Material, for your interest: Short Intro to Homogeneous Coordiantes and Projective Space |
| Mon, Nov 13, 2006 | Probability Basics | Probability Space (Axioms of Probability, Conditional Probability, Chain Rule, Independence, Bayes’ Rule) Random Variables (Discrete Random Variables, Probability Density Function (PDF), Cumullative Probability Distribution Function (CDF), Continuous Random Variables) Expectation of a Random Variable Variance and Standard Deviation
Literature: [PRML] |
| Thu, Nov 16, 2006 | Exercise (room MI 02.013.008) | Matlab Exercise |
| Mon, Nov 20, 2006 | Probability Basics | Extension to n Dimensions (RV, CDF, PDF, marginal distribution) Gaussian Distribution Covariance Principal Component Analysis (PCA) |
| Thu, Nov 23, 2006 | Probablitity Basics | Covariance and Correlation Principal Component Analysis (PCA) (PCA Tutorial by Lindsay I Smith.) Bayesian Estimation, Maximum a Posteriori, Maximum Likelihood ([AIMA] Chapter 20, available online) Information Theory Tools: Entropy, Mutual Information ([PRML], [ITIL] Chapter 8, avaliable online)
Lecture Slides Additional Material: Simple PCA Example in Matlab |
| Mon, Nov 27, 2006 | Analysis Basics (Derivatives of Multivariate Functions) | Partial Derivatives Total Derivatives Minima and Maxima
Literature: [HM1] |
| Thu, Nov 30, 2006 | Analysis Basics (Derivatives of Multivariate Functions) | Optimizing with constraints Taylor Expansion Application to Image Processing
Literature: [HM1] |
| Mon, Dec 4, 2006 | Intermediate Exam | results |
| Thu, Dec 7, 2006 | no class due to Dies Academicus | |
| Mon, Dec 11, 2006 | Exercise and Intermediate Correction | |
| Thu, Dec 14, 2006 | Basic Image Filtering and Similarity Measures | |
| Mon, Dec 18, 2006 | Function Minimization: Introduction & Theoretical Background | Definite Positive Convexity Minimum definition Gradient and Hessian
Literature: [NMDS][POGMW][NPB][COBV][OTCBG][NRPTVF] |
| Thu, Dec 21, 2006 | Function Minimization: Minimum condition | Necessary conditions Sufficient conditions
Literature: [NMDS][POGMW][NPB][COBV][OTCBG][NRPTVF] |
| Mon, Dec 25, 2006 | no class due to Christmas holidays | |
| Thu, Dec 28, 2006 | no class due to Christmas holidays | |
| Mon, Jan 1, 2007 | no class due to Christmas holidays | |
| Thu, Jan 4, 2007 | no class due to Christmas holidays | |
| Mon, Jan 8, 2007 | Function Minimization: Unidimensional minimization | Golden number and Fibonacci sequence methods Newton and secant methods Line search method
Literature: [NMDS][POGMW][NPB][COBV][OTCBG][NRPTVF] |
| Thu, Jan 11, 2007 | Non-Linear Minimization | Gradient method
Literature: [NMDS][POGMW][NPB][COBV][OTCBG][NRPTVF] |
| Mon, Jan 15, 2007 | Non-Linear Minimization | Conjugate-Gradients method
Literature: [NMDS][POGMW][NPB][COBV][OTCBG][NRPTVF] |
| Thu, Jan 18, 2007 | no class due to Weather Storm | |
| Mon, Jan 22, 2007 | Non-Linear Minimization | Newton + Quasi-Newton + Levenberg-Marquardt methods Simplex
Literature: [NMDS][POGMW][NPB][COBV][OTCBG][NRPTVF]
Homework: Template-based Tracking description test sequence: carback.zip (38MB) |
| Thu, Jan 25, 2007 | Minimization of Functionals (Calculus of Variations Basics) | Introduction and Overview Modelling Examples slides |
| Mon, Jan 29, 2007 | Minimization of Functionals (Calculus of Variations Basics) | Derivation of Euler-Lagrange Equations for the Model Problem Results for standard modifications of the Model Problem Examples Handout: variational basics |
| Thu, Feb 1, 2007 | Minimization of Functionals (Calculus of Variations Basics) | Case Study: Deformable Registration using the variational approach (Slides) |
| Mon, Feb 5, 2007 | Exam (a A4 paper written on both sides with formula allowed) | results |
| Thu, Feb 8, 2007 | | |