In projective geometry, a correlation is a transformation of a d-dimensional projective space that maps subspaces of dimension k to subspaces of dimension...

In projective geometry, duality or plane duality is a formalization of the striking symmetry of the roles played by points and lines in the definitions...

movement between images Correlation (projective geometry), a type of duality amongst subspaces of a vector space Correlation (geology) is the scientific...

the complex projective plane, and finite, such as the Fano plane. A projective plane is a 2-dimensional projective space. Not all projective planes can...

projective plane of order 36, if such a plane exists. We review some terminology used in projective geometry. A correlation of a projective geometry is...

was the systematic study of projective geometry by Girard Desargues (1591–1661). Projective geometry is the study of geometry without measurement, just...

its polar line were advanced in projective geometry. For instance, the polar line can be viewed as the set of projective harmonic conjugates of a given...

"Clustering in Hilbert's Projective Geometry: The Case Studies of the Probability Simplex and the Elliptope of Correlation Matrices", Geometric Structures...

plane correlation An isomorphism from a projective space to the dual of a projective space, often to the dual of itself. A correlation on the projective space...

the twist is provided by a field automorphism. An application in projective geometry requires that the scalars come from a division ring (skew field)...

mathematics, a projective range is a set of points in projective geometry considered in a unified fashion. A projective range may be a projective line or a...

In finite geometry, PG(3, 2) is the smallest three-dimensional projective space. It can be thought of as an extension of the Fano plane, PG(2, 2). It...

manifold. When the setting for random variables is on complex projective space or projective Hilbert space, geometrized with the Fubini–Study metric, the...

point sets to collinear point sets and so, are collineations. In projective geometry these linear mappings are called homographies and are just one type...

the context of projectivities, fixed points are called double points.: 53  Another type of involution occurring in projective geometry is a polarity that...

Perspective Correlation hypothesis. Perspective geological correlation is a theory that establishes strong geometrical restrictions on the geometry of the...

the intensity or photon autocorrelation function (also known as photon correlation spectroscopy – PCS or quasi-elastic light scattering – QELS). In the...

Epipolar geometry Fundamental matrix Pinhole camera model Projective geometry Trifocal tensor Active appearance model (AAM) Cross-correlation Geometric...

inequality Erdős–Mordell inequality Euler's theorem in geometry Gromov's inequality for complex projective space Gromov's systolic inequality for essential...

the complex projective space C P 4 {\displaystyle \mathbb {CP} ^{4}} More generally, such moduli spaces are constructed using projective equivalence of...

another line in the projective plane (possibly the line at infinity again), and the other is union of two lines in the projective plane, one through each...

1916 to 1918 he fought in World War I. In 1919, Onicescu went to study geometry at the University of Rome, under the guidance of Tullio Levi-Civita. He...

Photogrammetry uses methods from many disciplines, including optics and projective geometry. Digital image capturing and photogrammetric processing includes...

ISBN 978-1-4020-1522-9 Horatio N. Robinson (1860), "Theorem 22", Elements of Geometry, and Plane and Spherical Trigonometry, with Numerous Practical Problems...

understanding of how the whole interior is shaped through a correlation of its geometry, spatial composition and support system. The vaults have the...

back to René Descartes, substantial development of a higher-dimensional geometry only began in the 19th century, via the work of Arthur Cayley, William...

target. Intensity-based methods compare intensity patterns in images via correlation metrics, while feature-based methods find correspondence between image...

analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory,...

Today's subareas of geometry include: Projective geometry, introduced in the 16th century by Girard Desargues, extends Euclidean geometry by adding points...

In fractal geometry, the Minkowski–Bouligand dimension, also known as Minkowski dimension or box-counting dimension, is a way of determining the fractal...