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Projective frame

Index Projective frame

In the mathematical field of projective geometry, a projective frame is an ordered collection of points in projective space which can be used as reference points to describe any other point in that space. [1]

11 relations: Barycentric coordinate system, Cross-ratio, General position, Hyperplane, Linear independence, Mathematics, Projective geometry, Projective line, Projective plane, Projective space, Tuple.

Barycentric coordinate system

In geometry, the barycentric coordinate system is a coordinate system in which the location of a point of a simplex (a triangle, tetrahedron, etc.) is specified as the center of mass, or barycenter, of usually unequal masses placed at its vertices.

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Cross-ratio

In geometry, the cross-ratio, also called the double ratio and anharmonic ratio, is a number associated with a list of four collinear points, particularly points on a projective line.

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General position

In algebraic geometry and computational geometry, general position is a notion of genericity for a set of points, or other geometric objects.

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Hyperplane

In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.

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Linear independence

In the theory of vector spaces, a set of vectors is said to be if one of the vectors in the set can be defined as a linear combination of the others; if no vector in the set can be written in this way, then the vectors are said to be.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Projective geometry

Projective geometry is a topic in mathematics.

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Projective line

In mathematics, a projective line is, roughly speaking, the extension of a usual line by a point called a point at infinity.

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Projective plane

In mathematics, a projective plane is a geometric structure that extends the concept of a plane.

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Projective space

In mathematics, a projective space can be thought of as the set of lines through the origin of a vector space V. The cases when and are the real projective line and the real projective plane, respectively, where R denotes the field of real numbers, R2 denotes ordered pairs of real numbers, and R3 denotes ordered triplets of real numbers.

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Tuple

In mathematics, a tuple is a finite ordered list (sequence) of elements.

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References

[1] https://en.wikipedia.org/wiki/Projective_frame

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