• Introduction to signals, type of signals, analogue and digital signals, continuous and discrete signals, causality, digitalization, periodicity, time invariance.
• Convolution and its properties, (1D and 2D/nD singals), non-linear convolution, geometric and morphological filters, morphology by reconstruction.
• Frequency Transformations, Fourier, (discrete, continuous,) Dirac, FFT, DCT., wavelet, KL transform.
• z Transfrom, FIR and IIR filters, Low/high pass filters, frequency analysis.
• Linear regression, AR, MA & ARMA models, optimization techniques suing least square, Yule Walker equations, recursion, Newton-Rapson.
• Clustering, k-means algorithm and its property, dense-based clustering, spectral clustering.
• Template matching, image/signal matching, nosie removal and smoothing, pont detection and disparity field estimation.
- Teacher: Βύρωνας Νάκος
ECTS : 5
Language : el
Learning Outcomes : Upon successful completion of the course, the student: - Selects, depending on the case, the surface of the sphere or ellipsoid as a mathematical surface for simulating the Earth s surface - Uses geographical coordinates on the reference surface (sphere or ellipsoid) and Cartesian and polar coordinates on the map plane - Recognizes cylindrical, planar & conical projections - Recognizes correct, transverse & oblique projections - Recognizes conformal, equivalent & equidistant projections - Determines the relationships and properties of projections - Determines the deformations of elementary & finite quantities (lengths, angles and area) - Uses Tissot s indicatrix - Recognizes and understands the projection systems applied in Greece - Uses methods for measuring length, developments, angles and area on maps - Determines the volume of relief formations on maps with contour lines - Manages the relationship between measurements and map scale - Understands methods of spatial sampling and statistical indicators - Determines the uncertainties accompanying map measurements - Applies polynomial interpolation methods in the representation of cartographic lines - Understands models for representing the ground surface - Uses spatial interpolation methods to create DTMs - Utilizes algorithms for determining the geomorphological quantities of the ground surface - Uses basic analytical shading algorithms and selects the appropriate application parameters depending on the type of relief morphology - Understands the properties of linear transformations in the plane - Knows the basic elements of geometric algorithms: determination of intersection of line segments, detection of relative position between point and convex or non-convex polygon and spatial partitioning using the nearest distance principle - Knows the basic elements for choropleth maps and focal/multi-focal representations - Recognizes and applies generalization operators - Uses basic line simplification algorithms - Detects and eliminates symbol coincidences during cartographic generalization.