Generalized procrustes analysis

By John C. Gower. 1975

How researchers see this paper

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

Citations in the corpus

End-to-End Recovery of Human Shape and Pose (2017, background): “Most common evaluations report the mean per joint position error (MPJPE) and Reconstruction error, which is MPJPE after rigid alignment of the prediction with ground truth via Procrustes Analysis [11]).”
Compositional Human Pose Regression (2017, methodology): “formation using Procrustes Analysis [15] and then compute MPJPE.”
VolumeDeform: Real-Time Volumetric Non-rigid Reconstruction (2016, methodology): “We obtain the best ﬁtting rotation based on Procrustes analysis [49, 50] with to the canonical pose.”
Evolutionary morphing (2005, methodology): “This procedure, due to Gower [8], is fundamental to morphometrics; it is used to separate the difference in the landmark configurations due to actual shape differences from that due to differences in scale, translation and orientation.”
INTRINSIC SHAPE ANALYSIS: GEODESIC PCA FOR RIEMANNIAN MANIFOLDS MODULO ISOMETRIC LIE GROUP ACTIONS (2007, methodology): “…(EM) is chosen, the latter in the manifold case being an orthogonal projection of the Euclidean mean onto the manifold in an ambient space, e.g., Hendriks, Landsman and Ruymgaart (1996), as well as Hendriks and Landsman (1998) or, in a more general case, being a Procrustes mean, cf., Gower (1975).”
End-to-End Human Pose and Mesh Reconstruction with Transformers (2020, methodology): “It ﬁrst performs a 3D alignment using Procrustes analysis (PA) [12], and then computes MPJPE.”
GENERALIZED PROCRUSTES ANALYSIS AND ITS APPLICATIONS IN PHOTOGRAMMETRY (2003, methodology): “The solution of the Generalized Orthogonal Procrustes problem to a set of more than two matrices was reported (Gower, 1975, Ten Berge, 1977).”
Ultra-high-throughput microbial community analysis on the Illumina HiSeq and MiSeq platforms (2012, methodology): “…driven by the results of principal coordinates analyses based on weighted UniFrac distances, we compared these plots using Procrustes analysis (Gower, 1975; Figure 1; Table 1) as implemented in QIIME and found that the observations were highly reproducible across lanes, read directions and…”
Deep Global Registration (2020, methodology): “The Procrustes method [14] provides a closed-form solution for rigid registration in SE(3).”
Association of fine particulate matter from different sources with daily mortality in six U.S. cities. (2000, methodology): “We specified a single element as the tracer for each factor and maximized the projection of these elements using the Procrustes rotation, a variant of the oblique rotation method that is commonly used in psychometric testing (15,16).”