|
Number of Points
|
Functional Form of Interpolation
|
|---|---|
|
1D Entities:
|
|
|
2 points
|
linear variation in 1D parameter space
|
|
3 points
|
quadratic variation in 1D parameter space
|
|
4 points
|
cubic variation in 1D parameter space
|
|
2D Entities:
|
|
|
2 points
|
linear variation in 2D parameter space, with no variation perpendicular to the line that connects the two points in parameter space
|
|
3 points
|
linear variation in 2D parameter space
|
|
4 non-colinear points
|
bilinear variation in 2D parameter space
|
|
4 collinear points
|
cubic variation in 2D parameter space, with no variation perpendicular to the line that connects the four points in parameter space
|
|
4 points, with 3 collinear
|
quadratic variation in 2D parameter space and linear variation perpendicular to the line that passes through the three collinear points
|