Open Access

A method for local approximation of a planar deformation field

,

and

Anna Szafarczyk

Anna Szafarczyk

| Oct 10, 2019

Reports on Geodesy and Geoinformatics's Cover Image

Reports on Geodesy and Geoinformatics

Volume 108 (2019): Issue 1 (December 2019)

About this article

Previous Article

Cite

Share

Article Category: Original Article

Published Online: Oct 10, 2019

Page range: 1 - 8

Received: May 15, 2019

Accepted: Aug 05, 2019

DOI: https://doi.org/10.2478/rgg-2019-0007

© 2019 Marcin Ligas, Marek Banaś and Anna Szafarczyk, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The effect of swirl-like deformation model

The effect of barrel deformation model

The effect of pincusion deformation model

Comparison of statistical measures for true and estimated strain components for regular grid (first rows) and irregular grid (second rows) in a non-central pincushion deformation model

	E^B₁₁		E^B₂₂		E^B₁₂ = E^B₂₁

	True	Estimated	True	Estimated	True	Estimated
Minimum	0.00000	0.00000	0.00000	0.00000	-0.00010	-0.00010
	0.00000	0.00000	0.00000	0.00000	-0.00010	-0.00008
	0.00000	0.00001	0.00000	0.00001	-0.00001	-0.00001
1st quartile	0.00000	0.00000	0.00000	0.00000	-0.00001	-0.00001
	0.00002	0.00002	0.00002	0.00002	0.00000	0.00000
Median	0.00002	0.00002	0.00002	0.00003	0.00000	0.00000
3rd quartile	0.00007	0.00008	0.00007	0.00008	0.00001	0.00001
	0.00007	0.00007	0.00007	0.00007	0.00001	0.00001
Maximum	0.00046	0.00040	0.00046	0.00042	0.00031	0.00029
	0.00046	0.00042	0.00044	0.00046	0.00030	0.00029
ME	0.00000		0.00000		0.00000
	0.00000		0.00001		0.00000
	0.00001		0.00001		0.00000
MAE	0.00001		0.00001		0.00001
Correlation	0.99093		0.99057		0.99876
coefficient	0.98281		0.97792		0.98595

Comparison of statistical measures for true and estimated strain components for regular grid (first rows) and irregular grid (second rows) in a non-central barrel deformation model

	E^B₁₁		E^B₂₂		E^B₁₂ = E^B₂₁

	True	Estimated	True	Estimated	True	Estimated
	-0.00114	-0.00100	-0.00114	-0.00106	-0.00076	-0.00071
Minimum	-0.00091	-0.00092	-0.00089	-0.00090	-0.00055	-0.00062
	-0.00021	-0.00023	-0.00021	-0.00022	-0.00007	-0.00007
1st quartile	-0.00021	-0.00024	-0.00019	-0.00021	-0.00008	-0.00009
Median	-0.00005	-0.00006	-0.00005	-0.00006	0.00000	0.00000
	-0.00008	-0.00011	-0.00006	-0.00007	-0.00001	-0.00002
	-0.00001	-0.00001	-0.00001	-0.00001	0.00000	0.00000
3rd quartile	-0.00001	-0.00001	-0.00001	-0.00001	0.00000	0.00000
	0.00000	0.00000	0.00000	0.00000	0.00009	0.00009
Maximum	0.00000	0.00000	0.00000	0.00000	0.00011	0.00010
ME	0.00000		0.00000		0.00000
	0.00002		0.00002		0.00001
	0.00001		0.00001		0.00000
MAE	0.00003		0.00002		0.00001
Correlation	0.99427		0.99418		0.99925
coefficient	0.98163		0.98620		0.98415

Comparison of statistical measures for true and estimated strain components for regular grid (first rows) and irregular grid (second rows) in a central swirl-like deformation model

	E^B₁₁		E^B₂₂		E^B₁₂ = E^B₂₁

	True	Estimated	True	Estimated	True	Estimated
Minimum	-0.01979	-0.01712	-0.02272	-0.01787	-0.02262	-0.02093
	-0.02251	-0.02352	-0.02288	-0.02230	-0.02288	-0.02330
1st quartile	-0.00208	-0.00171	-0.00245	-0.00208	-0.00189	-0.00224
	-0.00209	-0.00326	-0.00283	-0.00359	-0.00202	-0.00196
Median	0.00001	-0.00002	-0.00001	-0.00005	0.00000	0.00001
	0.00000	-0.00018	0.00003	-0.00018	0.00000	0.00000
3rd quartile	0.00246	0.00194	0.00227	0.00209	0.00188	0.00226
	0.00288	0.00324	0.00210	0.00273	0.00334	0.00371
	0.02325	0.01808	0.02025	0.01713	0.02238	0.02075
Maximum	0.02261	0.02553	0.02303	0.02532	0.02285	0.02042
	0.00003		0.00002		-0.00001
ME	0.00010		0.00014		-0.00024
MAE	0.00110		0.00108		0.00122
	0.00285		0.00261		0.00218
Correlation	0.98327		0.98265		0.96365
coefficient	0.82977		0.86766		0.91781

eISSN:: 2391-8152
Language:: English

Publication timeframe:: Volume Open
Journal Subjects:: Computer Sciences, other, Geosciences, Geodesy, Cartography and Photogrammetry

Journal RSS Feed