Boundary vector field information

The boundary vector field (BVF) is an external force for parametric active contours (i.e. Snakes). In the fields of computer vision and image processing...

In vector calculus and physics, a vector field is an assignment of a vector to each point in a space, most commonly Euclidean space R n {\displaystyle...

In vector calculus, a conservative vector field is a vector field that is the gradient of some function. A conservative vector field has the property...

Stokes' theorem applied to an appropriately chosen vector field, a boundary integral for the vector area can be derived: S = 1 2 ∮ ∂ S r × d r {\displaystyle...

irrotational (curl-free) vector field and a solenoidal (divergence-free) vector field. It is named after Hermann von Helmholtz. For a vector field F ∈ C 1 ( V ,...

Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional...

neighbourhood around the point to which they are applied, otherwise the vector fields and H are not differentiable. In other words, the medium must be continuous...

vector calculus, divergence is a vector operator that operates on a vector field, producing a scalar field giving the quantity of the vector field's source...

electric field between atoms is the force responsible for chemical bonding that result in molecules. The electric field is defined as a vector field that...

returned vector field is equal to the vector field of the scalar Laplacian applied to each vector component. The vector Laplacian of a vector field A {\displaystyle...

electromagnetism, magnetic vector potential (often called A) is the vector quantity defined so that its curl is equal to the magnetic field: ∇ × A = B {\textstyle...

corner points on the boundary the normal vector is not well defined. The following applications involve the use of Neumann boundary conditions: In thermodynamics...

along this boundary. dℓ is an infinitesimal vector element of the contour ∂Σ, v is the velocity of the boundary ∂Σ, E is the electric field, B is the magnetic...

three-dimensional Cartesian coordinate variables, the gradient is the vector field: grad ⁡ ( f ) = ∇ f = ( ∂ ∂ x ,   ∂ ∂ y ,   ∂ ∂ z ) f = ∂ f ∂ x i + ∂...

curve as boundary. Stokes' theorem states that the flux of the curl of a vector field is the line integral of the vector field over this boundary. This path...

In many cases one cannot simply say that a field is or is not "evanescent" – having the Poynting vector average to zero in some direction (or all directions)...

) in Euclidean three-space to the line integral of the vector field over the surface boundary. The second fundamental theorem of calculus states that...

In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a theorem relating the flux of a vector field through...

Gradient vector flow (GVF), a computer vision framework introduced by Chenyang Xu and Jerry L. Prince, is the vector field that is produced by a process...

assigning a vector to each point of space, called a vector field (more precisely, a pseudovector field). In electromagnetics, the term magnetic field is used...

the Belarus women's national under-21 volleyball team Boundary vector field, a type of vector field used in computer vision Boor language, a language spoken...

actions of R on M. A vector field is complete if it generates a global flow. Every smooth vector field on a compact manifold without boundary is complete. Relevant...

built from vector spaces, such as vector fields and functions whose domain is a vector space. Moreover, the field of scalars may be any field (however for...

Boundary cells (also known as border cells or boundary vector cells) are neurons found in the hippocampal formation that respond to the presence of an...