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Automated Longitudinal MRI Assessments of Diffuse Midline Gliomas: A Large Multi-Institutional Study

open access: yes
Avval AH   +11 more
europepmc   +1 more source

THE CONE OF THE MUELLER MATRICES [PDF]

open access: yes, 2023
In the study of polarized light, there are two basic notions: the Stokes vectors and the matrices which preserve them, called Mueller matrices. The set of Stokes vectors forms a cone: the Future Light Cone. In this work we will see that the Mueller matrices also form a cone in the vector space of real matrices of size 4X4, called the Mueller Cone.
J. Othon Parra-Alcantar   +2 more
openaire   +2 more sources

Polarimetric subtraction of Mueller matrices

Journal of the Optical Society of America A: Optics and Image Science, and Vision, 2013
A general formulation of the additive composition and decomposition of Mueller matrices is presented, which is expressed in adequate terms for properly performing the "polarimetric subtraction," from a given depolarizing Mueller matrix M, of the Mueller matrix of a given nondepolarizing component that is incoherently embedded in the whole system ...
Ignacio SAN JOSÉ, JOSÉ J Gil
exaly   +3 more sources

Characteristic properties of Mueller matrices

Journal of the Optical Society of America A: Optics and Image Science, and Vision, 2000
A complete and minimum set of necessary and sufficient conditions for a real 4 x 4 matrix to be a physical Mueller matrix is obtained. An additional condition is presented to complete the set of known conditions, namely, the four conditions obtained from the nonnegativity of the eigenvalues of the Hermitian matrix H associated with a Mueller matrix M ...
JOSÉ J Gil
exaly   +3 more sources

Explicit algebraic characterization of Mueller matrices

Optics Letters, 2014
A general explicit algebraic characterization of Mueller matrices is presented in terms of the non-negativity of a set of leading principal minors of the coherency matrix C(A) associated with the arrow form M(A) of a given Mueller matrix M. This result is also formulated through a set of four characteristic Stokes vectors.
Ignacio SAN JOSÉ, JOSÉ J Gil
exaly   +3 more sources

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