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....

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

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...

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

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

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

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

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

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...

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...

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

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

Animation Boundary representation Digital surface Digital surface model Mesh generation Parametric surface Piegl, Les; Tiller, Wayne (1997). The NURBS...

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...

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...

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

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

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...

can be compared statically or using dynamic methods such as multi-parametric surface plasmon resonance, dual-polarisation interferometry or circular dichroism...

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

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...

family of lines. Formally, a ruled surface is a surface in R 3 {\displaystyle \mathbb {R} ^{3}} is described by a parametric representation of the form x (...

explicit representation. The third essential description of a surface is the parametric one: ( x ( s , t ) , y ( s , t ) , z ( s , t ) ) {\displaystyle...

mathematical artists Mathethon - computational mathematics competition Parametric surface Procedural modeling suites Ray tracing Tesseract 3Blue1Brown - math...

3-dimensional Newton iteration. parametric curve C : ( x ( t ) , y ( t ) , z ( t ) ) {\displaystyle C:(x(t),y(t),z(t))} and parametric surface S : ( x ( u , v ) ,...

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