Affine Transformation

Do you want to see more videos like this? Then subscribe and turn on notifications! Don't forget to subscribe to my YouTube channel and RuTube channel. Rutube : https://rutube.ru/video/7b29e491058af87872f809fc583023b6/ Transformacioni model (Thin Plate Spline, TPS) koristi se za 2D transformaciju koordinata u geodeziji, koristeći skup kontrolnih tačaka iz izvornog i ciljnog koordinatnog sistema za izračunavanje parametara transformacije. Ovi parametri uključuju afine koeficijente (a1_x, a2_x, a3_x za X-koordinatu i a1_y, a2_y, a3_y za Y-koordinatu) i težine (w_x za X-koordinatu i w_y za Y-koordinatu), dobijene metodom najmanjih kvadrata putem Gausove eliminacije. Model osigurava tačno uklapanje na kontrolne tačke uz omogućavanje nelinearnih deformacija. Statistički pokazatelji izračunati za reziduale validacionog skupa uključuju srednju vrednost (prosečna vrednost reziduala), standardnu devijaciju (mera raspršenosti oko srednje vrednosti), minimum i maksimum (ekstremne vrednosti reziduala), koren srednje kvadratne greške (Root Mean Square Error, RMSE, mera prosečne veličine reziduala), medijanu (srednja vrednost u sortiranim rezidualima) i varijansu (kvadrat odstupanja od srednje vrednosti). Kao rezultat, program generiše TPS parametre za transformaciju koordinata, transformisane tačke iz ulaznih fajlova i statističke pokazatelje za procenu tačnosti modela, koji se čuvaju u tekstualnom fajlu za dalju analizu. Ovaj pristup se primenjuje u geodeziji za konverziju koordinatnih sistema, geografskim informacionim sistemima (Geographic Information Systems, GIS) za poravnanje prostornih podataka, daljinskoj detekciji za registraciju slika i kartografiji za korekciju distorzija mapa. ko zeli ovaj program neka posalje email na [email protected] (poklanjamo - besplatno) Thin Plate Spline (TPS) transformation model is employed in 2D coordinate transformation in geodesy, founded on a set of source and target coordinate systems' control points to estimate transformation parameters. Parameters include affine coefficients (a1_x, a2_x, a3_x for the X-coordinate and a1_y, a2_y, a3_y for the Y-coordinate) and weights (w_x for the X-coordinate and w_y for the Y-coordinate), which are estimated through least-squares adjustment by Gaussian elimination. The model exactly fits control points in order to supply non-linear deformations. Statistical metrics calculated for validation set residuals include mean (average value of residuals), standard deviation (spread around the mean), minimum and maximum values (extremes of residuals), Root Mean Square Error (RMSE, average size of residuals), median (middle value in ordered residuals), and variance (squared difference from the mean). As a result, the program produces TPS parameters for coordinate transformation, transformed points from input files, and statistical metrics to assess model accuracy, which are saved to a text file for further analysis. This technique is applied in geodesy to transformation of coordinate systems, Geographic Information Systems (GIS) to registration of spatial data, remote sensing to image registration, and cartography to map distortion removal Interested in this software, send an email to [email protected] (we’re giving it away for free). RuTube Channel : https://rutube.ru/channel/1400643/ Youtube Channel : https://www.youtube.com/channel/UCNnd6dzXmsw7MeC1QlP4C4A LinkeDin : https://www.linkedin.com/in/sasalazic/ SrbsBuk : https://srbsbuk.com/members-2/donlaki/ Telegram : https://t.me/geoalatiplus web pages: http://geoalatiplus.in.rs #gnss #gps #agro #agriculture #latitude #longitude #geodetic #geodesy #surveyor #survey #surveying #srbija #projection #ellipsoid #etrs #etrf #itrs #itrf #landsurveyor #geo #геодезия #геодезија #geodezija #WGS #pravougle #koordinate #cors #latitude #longitude #agros #rgz #GNSS #PPP #RTK #Navigacija #Inzenjerstvo #GLONASS #GPS #Galileo #BeiDou #NavIC #NaukaITehnologija