A parametric surface is a surface in the Euclidean space R 3 {\displaystyle \mathbb {R} ^{3}} which is defined by a parametric equation with two parameters...

describes a curve, called a parametric curve. In the case of two parameters, the point describes a surface, called a parametric surface. In all cases, the equations...

the image is not a curve). In this case, one says that one has a parametric surface, which is parametrized by these two variables, called parameters....

Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of surface area is based...

views, finite element analysis, parametric modelling, sub-divisional and non-uniform rational B-spline (NURBS) surface modeling, technical drawing (drafting)...

two-dimensional Bézier surface can be defined as a parametric surface where the position of a point p as a function of the parametric coordinates u, v is...

increased surface area for analytes to bind to the inner lining of the fiber optic. Hydrogen sensor Localized surface plasmon Multi-parametric surface plasmon...

used for checking optically the smoothness of surface connections. For a surface (implicit or parametric), which is differentiable enough, the normal vector...

existing techniques for determining the fine-structure constant. Multi-parametric surface plasmon resonance has been utilized to characterize both the thickness...

image. A parametric surface need not be a topological surface. A surface of revolution can be viewed as a special kind of parametric surface. If f is...

whose parameters oscillate in time Parametric surface, a particular type of surface in the Euclidean space R3 Parametric family, a family of objects whose...

Multi-parametric surface plasmon resonance (MP-SPR) is based on surface plasmon resonance (SPR), an established real-time label-free method for biomolecular...

second fundamental form of a parametric surface S in R3 was introduced and studied by Gauss. First suppose that the surface is the graph of a twice continuously...

solid–liquid, and liquid–gas surfaces. Multi-parametric surface plasmon resonance works in solid–gas, solid–liquid, liquid–gas surfaces and can detect even sub-nanometer...

transmission Free electron model Gap surface plasmon Heat-assisted magnetic recording Multi-parametric surface plasmon resonance Plasma oscillation Plasmonic...

OpenVSP (also Open Vehicle Sketch Pad) — is an open-source parametric aircraft geometry tool originally developed by NASA. It can be used to create 3D...

Parametric design is a design method in which features, such as building elements and engineering components, are shaped based on algorithmic processes...

represented in two ways as the envelope of a one parametric pencil of spheres, i.e. it is a canal surface with two directrices. The pair of directrices are...

Spontaneous parametric down-conversion (also known as SPDC, parametric fluorescence or parametric scattering) is a nonlinear instant optical process that...

binding to receptors (i.e. a substrate binding to an enzyme). Multi-parametric surface plasmon resonance can be used not only to measure molecular interactions...

are often label-free, such as surface plasmon resonance, dual-polarization interferometry and multi-parametric surface plasmon resonance (MP-SPR) can...

a pseudospherical surface. It can be described as a parametric surface in terms of the parametric equations x = 2 cosh ⁡ v ( cos ⁡ u + u sin ⁡ u ) / w...

SolidThinking Tebis Bézier surface Computer representation of surfaces Freeform surface machining NURBS Parametric surface Solid modelling Steven Anson...

investigations of curved surfaces) considered a surface parametrically, with the Cartesian coordinates x, y, and z of points on the surface depending on two auxiliary...

computationally efficient. Parametric surfaces are defined using equations that depend on parameters. They include Bézier surfaces and NURBS. They are smooth...

angular velocity of the plane's rotation. This can be described as a parametric surface defined by equations for the Cartesian coordinates of its points,...

measure for a notion of curvature in measure theory Curvature of parametric surfaces Curvature of Riemannian manifolds for generalizations of Gauss curvature...

the curve List of curves topics List of curves Osculating circle Parametric surface Path (topology) Polygonal curve Position vector Vector-valued function...

can be seen in the Figure. The formation is measured using multi-parametric surface plasmon resonance to determine adsorption kinetics, layer thickness...

and a ruled surface. It is an example of a minimal surface and can be represented as a translation surface. The helicoid with the parametric representation...