Interpolation & Surfaces

A continuous surface from scattered samples, with its support attached.

Interpolation produces a value for every cell, including the cells a kilometre from the nearest observation, and the output gives no hint which is which. These guides cover the methods — IDW, kriging, TIN and areal interpolation — but spend as much time on what they cannot tell you: why cross-validation is optimistic where the samples are dense, why kriging variance is a map of sample geometry rather than of error, why a finer cell size buys nothing, and how to ship a distance-to-nearest-sample raster so the reader can see where the surface is measurement and where it is arithmetic.

13 Steps in this path

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13 guides: the concepts underneath the work, then each task, then the errors that task produces. Work down, or jump to the step you need.

  1. Sample Design Explained: Where to Measure sample design explained 🧭 Concept
  2. How to Interpolate Points to a Grid with IDW in Python idw interpolation python ⚙️ How-To
  3. My IDW Surface Is Full of Bullseyes idw bullseyes 🔧 Fix
  4. The Variogram Explained: How Far Does a Measurement Reach variogram explained 🧭 Concept
  5. How to Fit a Variogram and Krige a Surface in Python kriging python ⚙️ How-To
  6. My Kriging Fit Fails or Returns a Flat Surface kriging fit fails flat surface 🔧 Fix
  7. How to Build a TIN and Interpolate Elevations tin interpolation python ⚙️ How-To
  8. IDW, Kriging, Splines or TIN? Choosing an Interpolator choosing an interpolator explained 🧭 Concept
  9. How to Cross-Validate an Interpolated Surface cross validate interpolation python ⚙️ How-To
  10. How to Choose a Cell Size for an Interpolated Surface choose cell size interpolation ⚙️ How-To
  11. My Interpolated Surface Extends Far Beyond the Data interpolation extends beyond data 🔧 Fix
  12. How to Interpolate to Polygons Instead of a Grid areal interpolation python ⚙️ How-To

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