Contents
What do you understand by blending function?
Blending functions interpolate the unknown. in such a way as to satisfy exactly its variations along the edges of a square domain. If the coordinates and are used in a parametric expression of the type given in Eq. (6.19), then any complex shape can be mapped by a single element.
What are the advantages of computer graphics?
The main advantages of computer graphics are as follows:
- The ability of computers to store complex drawings and display them whenever needed was one of the main attraction for using computers in the graphic mode.
- The use of sound cards to make computers produce sound effect led to other uses of graphics.
Why are the blending functions called blending functions?
The functions € D0(t),K,Dn(t) that multiply the control points are called blending functions because these functions blend together the control points to form a smooth curve. These blending functions depend only on the labels along the arrows and not on the particular control points.
When do you need to blend to specifications?
As previously mentioned, blending to specifications is useful when trying to minimize or maximize the objective function of the blend.
How does mathematical blending work in a spreadsheet?
With the wide use of spreadsheets came mathematical blending, which allowed users to save significant time by reducing the iterations necessary by manual blending. Mathematical blending allows more complexity to be introduced to the blending process by adding an objective function and constraints to the problem.
How are blending processes used in element families?
The blending processes are of considerable importance and have been used to construct some interesting element families [36] (which in fact include the standard serendipity elements as a subclass). To explain the process we shall show how a function with prescribed variations along the boundaries can be interpolated.