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Cubic Spline Interpolation

Newbie

Cubic Spline Interpolation

By Mathcad Staff 

Interpolation in PTC Mathcad

cubic_spline.png

About this worksheet:

  • Displays how to use the various interpolation functions in PTC Mathcad 
  • Applicable to multiple disciplines 
  • Performs curve fitting, regression, interpolation, and cubic spline

This worksheet helps to differentiate between regression and interpolation. Regression is a mathematical process that attempts to find a best-fit curve through a set of data. Interpolation allows you to estimate values between measured data points. Interpolation is necessary with data that is described by an extremely complex function or data that can't be described by a function at all. 

This worksheet discusses in-depth:

  • Linear interpolation 
  • Cubic spline interpolation 
  • The interp Function 
  • The two-dimensional case

Linear interpolation is used when each data point is connected to the next by a straight line.  You can use the linterp function in PTC Mathcad to work with this type of interpolation.  You can also use the lspline, pspline, and cspline functions in PTC Mathcad when solving for polynomial splines.

This worksheet includes multiple examples for how to use various interpolation functions within Mathcad and includes step by step notation, descriptions, data sets, images and graphs, and solutions to help aid you.

Download and explore this worksheet yourself! You can download a free lifetime copy of PTC Mathcad Express and get 30 days of full functionality.