activity
20192025
most citedA Purely Algebraic Justification of the Kabsch-Umeyama Algorithm

81 citations · 106 across the 6 of their papers we have counts for

collaborators

6 papers

cs.LG2025★ 9 cited

SAGRAD: A Program for Neural Network Training with Simulated Annealing and the Conjugate Gradient Method

Javier Bernal, Jose Torres-Jimenez

SAGRAD (Simulated Annealing GRADient), a Fortran 77 program for computing neural networks for classification using batch learning, is discussed. Neural network training in SAGRAD i…

math.DG2025★ 7 cited

FFT-based Alignment of 2d Closed Curves with Application to Elastic Shape Analysis

Günay Dogan, Javier Bernal, Charles Hagwood

For many shape analysis problems in computer vision and scientific imaging (e.g., computational anatomy, morphological cytometry), the ability to align two closed curves in the pla…

math.DG2024★ 1 cited

Partial Elastic Shape Registration of 3D Surfaces using Dynamic Programming

Javier Bernal, Jim Lawrence

The computation of the elastic shape registration of two simple surfaces in 3-dimensional space and therefore of the elastic shape distance between them has been investigated by Ku…

math.OC2019★ 3 cited

Characterization and Computation of Matrices of Maximal Trace over Rotations

Javier Bernal, Jim Lawrence

The constrained orthogonal Procrustes problem is the least-squares problem that calls for a rotation matrix that optimally aligns two corresponding sets of points in d-dimensional…

math.OC2019★ 81 cited

A Purely Algebraic Justification of the Kabsch-Umeyama Algorithm

Jim Lawrence, Javier Bernal, Christoph Witzgall

The constrained orthogonal Procrustes problem is the least-squares problem that calls for a rotation matrix that optimally aligns two matrices of the same order. Over past decades,…

math.FA2019★ 5 cited

Shape Analysis, Lebesgue Integration and Absolute Continuity Connections

Javier Bernal

As shape analysis of the form presented in Srivastava and Klassen's textbook 'Functional and Shape Data Analysis' is intricately related to Lebesgue integration and absolute contin…