4 papers
A fast algorithm to find reduced hyperplane unit cells and solve N-dimensional Bezout identities
Cyril Cayron
The paper explains the method to determine a short unit cell attached to any hyperplane given by its integer vector . Equivalently, it gives all the solutions of the $N…
Axial heterotwins
Cyril Cayron
The current theory of twin crystallography is based on the concept of invariant plane. The present paper extends the theory to encompass the cases of heterotwins in which the compo…
Solving constrained optimization problems without Lagrange multipliers
Cyril Cayron
Constrained optimization problems exist in many domains of science, such as thermodynamics, mechanics, economics, etc. These problems are classically solved with the help of the La…
The transformation matrices (distortion, orientation, correspondence), their continuous forms, and their variants
Cyril Cayron
The crystallography of displacive phase transformations can be described with three types of matrices: the lattice distortion matrix, the orientation relationship matrix, and the c…