A Quaternion-based Geodetic Datum Transformation Algorithm

By Yunzhong Shen, Y. Chen, D. Zheng. 2006

90 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Applied Mathematics, Oceanography

View Paper: https://www.semanticscholar.org/paper/ea4a7cb46c88023cb055dd2ffbe23f2a311ecb69

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

1. X. Fang
2. Burkhard Schaffrin
3. Y. Felus

In Applied Mathematics

1. X. Fang
2. Guobin Chang
3. Y. Felus
4. Burkhard Schaffrin
5. Alireza Amiri-Simkooei
6. Bofeng Li
7. Yunzhong Shen
8. Yi Chen

In Oceanography

1. X. Fang
2. Burkhard Schaffrin
3. Y. Felus
4. Guobin Chang

Citations in the corpus

• On the multivariate total least-squares approach to empirical coordinate transformations. Three algorithms (2008, methodology): “Different approaches may serve this purpose: For the equally weighted case (i.e., D=I) one may shift all the coordinates to the “center of mass” by multiplying both sides of the equation with the idempotent centering matrix B = In − (1/n) · τ n · τ T , where τ n is a n×1 vector of ones; see, e.g., ”
• A total least squares solution for geodetic datum transformations (2014, methodology): “Two fundamental algorithms for adjusting the GMM are the Procrustes analysis (e.g., Grafarend and Awange 2003; Grafarend 2006; Awange et al. 2010; Grafarend and Awange 2012) and the unit quaternion-based approach (e.g., Shen et al. 2006).”