Segment A Segment B Segment C

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Segment A:   y= x2 + x + (0.0 ≤ x ≤ 1.0) Segment B:   y= x3 +   x2 +   x +   (0.0 ≤ x ≤ 1.0) Segment C:   y= x2 + x + (0.0 ≤ x ≤ 1.0)

This tool demonstrates cubic interpolation of a one-dimensional signal using a Catmull-Rom Spline.

Instructions:

• Enter Y values for the four points in the text fields under the plot
• Click the "Calculate" button
• The interpolated values will be plotted on the graph
• The coefficients used to calculate all three interpolation segments will be displayed at the bottom

Note that interpolating across the center segment depends on the values of all four points. In general, any interior segment requires knowlege of the surrounding four points, while interpolating across the beginning or end segment only requires knowlege of three points.

For details, and to find how to solve for the coefficients given the sample values, see the Main Paper.

 

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