bundle projection

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• Bundle adjustment — right|thumb|A sparse matrix obtained when solving a modestlysized bundle adjustment problem. This is the sparsity pattern of a 992x992 normal equations(i.e. approximate Hessian) matrix. Black regions correspond to nonzero blocks.Given a set of… …   Wikipedia

• Projection (mathematics) — Commutativity of this diagram is the universality of projection π, for any map f and set X. Generally speaking, in mathematics, a projection is a mapping of a set (or of a mathematical structure) which is idempotent, which means that a projection …   Wikipedia

• Fiber bundle — In mathematics, in particular in topology, a fiber bundle (or fibre bundle) is a space which looks locally like a product space. It may have a different global topological structure in that the space as a whole may not be homeomorphic to a… …   Wikipedia

• Vector bundle — The Möbius strip is a line bundle over the 1 sphere S1. Locally around every point in S1, it looks like U × R, but the total bundle is different from S1 × R (which is a cylinder instead). In mathematics, a vector bundle is a… …   Wikipedia

• Vertical bundle — In mathematics, the vertical bundle of a smooth fiber bundle is the subbundle of the tangent bundle that consists of all vectors which are tangent to the fibers. More precisely, if pi; : E rarr; M is a smooth fiber bundle over a smooth manifold M …   Wikipedia

• Tautological bundle — In mathematics, tautological bundle is a term for a particularly natural vector bundle occurring over a Grassmannian, and more specially over projective space. Canonical bundle as a name dropped out of favour, on the grounds that canonical is… …   Wikipedia

• Principal bundle — In mathematics, a principal bundle is a mathematical object which formalizes some of the essential features of a Cartesian product X times; G of a space X with a group G . Analogous to the Cartesian product, a principal bundle P is equipped with… …   Wikipedia

• Banach bundle — In mathematics, a Banach bundle is a vector bundle each of whose fibres is a Banach space, i.e. a complete normed vector space, possibly of infinite dimension.Definition of a Banach bundleLet M be a Banach manifold of class C p with p ≥ 0, called …   Wikipedia

• Universal bundle — In mathematics, the universal bundle in the theory of fiber bundles with structure group a given topological group G , is a specific bundle over a classifying space BG , such that every bundle with the given structure group G over M is a pullback …   Wikipedia

• Connection (principal bundle) — This article is about connections on principal bundles. See connection (mathematics) for other types of connections in mathematics. In mathematics, a connection is a device that defines a notion of parallel transport on the bundle; that is, a way …   Wikipedia

• Pullback bundle — In mathematics, a pullback bundle or induced bundle is a useful construction in the theory of fiber bundles. Given a fiber bundle pi; : E rarr; B and a continuous map f : B prime; rarr; B one can define a pullback of E by f as a bundle f * E over …   Wikipedia