Related Experiment Video
Updated: Aug 15, 2026

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration
Published on: November 23, 2019
Three-dimensional coordinate subset correlation method based on tangent-plane constrained gradients for
Abstract:
Conventional three-dimensional digital image correlation (3D-DIC) reconstructs deformation through image-domain stereo-temporal correlation and is susceptible to perspective-induced shape-function mismatch under complex surface geometry or significant deformation. This study extends three-dimensional coordinate subset correlation (3D-CSC) to stereo-DIC-based deformation measurement by establishing correspondence directly between reference and deformed object surfaces in 3D physical space. A tangent-plane-constrained surface-gradient reconstruction strategy and a 3D physical-space inverse compositional Gauss-Newton formulation are developed for efficient nonlinear optimization while preserving the constant-Hessian property. Numerical simulations and experimental results demonstrate that this method improves the measurement accuracy of displacement and strain and effectively suppresses deformation artifacts caused by projection effects.
Related Concept Videos
Tangent Planes to a Parametric Surface
Three-Dimensional Analysis of Strain
Transformation of Plane Strain
Under plane strain conditions, typical for members where one dimension significantly exceeds the others, deformations and resultant strains are...
Tangent Planes to Surfaces
Curvilinear Motion: Normal and Tangential Components
The positive direction of the t-axis aligns with the increasing position of the car along the curved path, denoted by the unit vector ut. Simultaneously, the n-axis, perpendicular to the t-axis, dissects the curved path into differential arc segments, each forming the arc of a circle with a radius of...
Divergence Theorem in 3D Space

