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 ,...

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...

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...

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

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

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...

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

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...

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...

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...

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...

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...

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...

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...

sets of algebraic objects related to a vector space. Tensors may map between different objects such as vectors, scalars, and even other tensors. There...

In machine learning, support vector machines (SVMs, also support vector networks) are supervised max-margin models with associated learning algorithms...

monoidal functor from hBordM to the category of vector spaces. Note that cobordisms can, if their boundaries match, be sewn together to form a new bordism...