Shepardova interpolacija : magistrsko delo

Baltič, Mark (author), Žagar, Emil (mentor)

V magistrskem delu si ogledamo splošne pristope k problemu interpolacije točk, nato pa se osredotočimo na Shepardove interpolacije razpršenih točk v dveh dimenzijah. Interpolant poskusimo izboljšati z uporabo lokalnosti, odvodov in triangulacije območja. Predstavljene metode preizkusimo na analitični funkciji in na realnih geodetskih podatkih Šmarne gore pri Ljubljani.

• Language: Slovenian
• Keywords: interpolacija, Shepard, razpršeni podatki, inverz razdalij, operator
• Work type: Master's thesis/paper
• Typology: 2.09 - Master's Thesis
• Organization: FMF - Faculty of Mathematics and Physics; FRI - Faculty of Computer and Information Science
• Year: 2021
• PID: 20.500.12556/RUL-128156
• UDC: 519.6
• COBISS.SI-ID: 68709379
• Publication date in RUL: 04.07.2021

Secondary language

• Language: English
• Title: Shepard interpolation

Abstract

In this Master's Thesis we study general approaches of the point interpolation problem. Then we focus on the Shepard interpolation method on the scattered data points in two dimensions. We try to improve the interpolant by using locality, derivatives and by adding a triangulation to data points. First we test the presented methods with an analytical function, and then we move on to real geodetic data obtained from the mountain Šmarna gora, which is located near Ljubljana.

• Keywords: interpolation, Shepard, scattered data, inverse distance, operator