What does this research mean for the field?

The mathematical formulation for estimating three-dimensional deformation from SAR interferometry and GNSS observations requires a specific correction to equation 2 of the original article. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

This article aims to correct a mathematical error in a previous work regarding the estimation of 3D deformation.

April 21, 2026Open Access

Corrections to “Unbiased Estimation of Three-Dimensional Deformation From SAR Interferometry and GNSS Observations”

Key Points

This article aims to correct a mathematical error in a previous work regarding the estimation of 3D deformation.
Correction of a mathematical matrix used in SAR interferometry and GNSS observations.
Adjustment of velocity vector equations to accurately represent the relationship between coordinates.
The new matrix formulation provides a corrected method for estimating 3D deformation.
Enhanced accuracy in the transformation of data between synthetic aperture radar and GNSS metrics.

Abstract

In the above article 1, we made a mistake in (2). We correct it as follows. align* array{c Vₒ₀ₑ^{ASC}\\ Vₒ₀ₑ^{DES}\\ 0 array} \!\!\!=\!\!\! & array{ccc - {{ ₀ₒ₂} { ₀ₒ₂}}& {{ ₀ₒ₂} { ₀ₒ₂}}& {{ ₀ₒ₂}}\\ - {{ ₃₄ₒ} { ₃₄ₒ}}& {{ ₃₄ₒ} { ₃₄ₒ}}& {{ ₃₄ₒ}}\\ 0&1&0 array}\! \\ array{c {{Vᵉ}}\\ {{Vⁿ}}\\ {{Vᵘ}} array} =& array{ccc uₑ^{ASC}&uₙ^{ASC}&uᵤ^{ASC}\\ uₑ^{DES}&uₙ^{DES}&uᵤ^{DES}\\ 0&1&0 array} array{c {{Vᵉ}}\\ {{Vⁿ}}\\ {{Vᵘ}} array}. 2 align*

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