|
||||||||||||||
|
||||||
|
|
||||||
|
BACKGROUND |
||||||
|
|
What is Interpolation? [PDF] [DOC] History of Interpolation [PDF] [DOC] Test your knowledge on background of interpolation [HTML] [PDF] [DOC] |
|||||
|
PHYSICAL PROBLEM |
||||||
|
|
A robot arm path needs to be developed over several points on a flat plate. The path needs to be smooth to avoid sudden jerky motion and at the same time needs to be short. [PDF] [DOC]
|
|||||
|
NUMERICAL METHOD |
||||||
|
|
||||||
|
|
|
How does the direct method work? [PDF] [DOC] Linear Interpolation [YOUTUBE 8:53] Quadratic Interpolation [YOUTUBE 8:17] Cubic Interpolation - Part 1 of 2 [YOUTUBE 9:37] Cubic Interpolation - Part 2 of 2 [YOUTUBE 7:51] A Power point presentation [PDF] [PPT] Worksheets of the method [PDF] [NB] Test your knowledge of the method [HTML] [PDF] [DOC]
|
||||
|
|
||||||
|
|
|
How does the Newton's divided difference polynomial method work? [PDF] [DOC] A Power point presentation [PDF] [PPT] |
||||
|
|
||||||
|
|
|
How does the Lagrange method work? [PDF] [DOC] A Power point presentation [PDF] [PPT] Worksheets of the method [PDF] [NB] Test your knowledge of the method [HTML] [PDF] [DOC]
|
||||
|
|
||||||
|
|
|
How does the spline method work? [PDF] [DOC] Linear Spline Interpolation: Theory [YOUTUBE 7:56] Linear Spline Interpolation: Example [YOUTUBE 5:27] Quadratic Spline Theory: Part 1 of 2 [YOUTUBE 9:49] Quadratic Spline Theory: Part 2 of 2 [YOUTUBE 5:27] Quadratic Spline Interpolation: Example: Part 1 of 2 [YOUTUBE 10:48] Quadratic Spline Interpolation: Example: Part 2 of 2 [YOUTUBE 7:05] A Power point presentation [PDF] [PPT] Worksheets of the method [PDF] [NB] Test your knowledge of the method [HTML] [PDF] [DOC]
|
||||
|
ANECDOTES |
||||||
|
|
The lurking dangers of extrapolation! [PDF] [DOC] [NB] [PDF] Why is higher order interpolation is a bad idea? [PDF] [DOC] [NB] [PDF] Comparison of spline and polynomial interpolation. [PDF] [DOC] [NB] [PDF] How choice of points of interpolation affects approximations! [PDF] [DOC] [NB] [PDF] How splines can help in developing a shorter path for a robot! [PDF] [DOC] [NB] [PDF] |
|||||
