Fourier-Based Automatic Transformation between Mapping Shapes—Cadastral and Land Registry Applications
| Autor: | Jesús Mataix-SanJuan, Marcelo Antonio Nero, Rocío Romero-Zaliz, Carlos A. León-Robles, Juan Francisco Reinoso-Gordo |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Vertex (computer graphics)
cadaster 010504 meteorology & atmospheric sciences Computer science Geography Planning and Development closed cartographic shapes lcsh:G1-922 01 natural sciences Least squares 010309 optics symbols.namesake Automation 0103 physical sciences fourier descriptors Earth and Planetary Sciences (miscellaneous) Point (geometry) Computers in Earth Sciences 0105 earth and related environmental sciences automation Cadaster Periodic function Transformation (function) Photogrammetry Fourier transform Closed cartographic shapes Polygon symbols Fourier descriptors Algorithm lcsh:Geography (General) |
| Zdroj: | Digibug: Repositorio Institucional de la Universidad de Granada Universidad de Granada (UGR) ISPRS International Journal of Geo-Information, Vol 9, Iss 482, p 482 (2020) Digibug. Repositorio Institucional de la Universidad de Granada instname ISPRS International Journal of Geo-Information Volume 9 Issue 8 |
| DOI: | 10.3390/ijgi9080482 |
| Popis: | Sometimes it is necessary to know the transformation to apply to a mapping shape in order to locate its true place. Such an operation can be computed if a corresponding reference object exists and we can identify corresponding points in both shapes. Nevertheless our approach does not need to match any corresponding point beforehand. The method proposed defines a polygon in the frequency domain&mdash two periodic functions are derived from a polygonal or polygon. According to the theory of elliptic Fourier descriptors those two periodic functions can be expressed by Fourier expansions. The transformation can be computed using the coefficients of the harmonics from the corresponding shapes without taking into account where each polygon vertex is placed in the spatial domain. The transformation parameters will be derived by a least squares approach. The geomatics and geosciences applications of this method go from photogrammetry, geographic information system, computer vision, to cadaster and real estates. |
| Databáze: | OpenAIRE |
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