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Reports Year : 2020

Cubic and bicubic spline interpolation in Python


Cubic and bicubic spline interpolations are widely used in a variety of domains. Nonetheless, there are limited resources available to help students or professionals who wish to implement these tools within a computer program. Be it for visualization purposes or for use within sophisticated algorithms, building a 2D or a 3D spline may not be a straightforward process. In this context, the present technical note provides a brief theoretical description of both splines and bicubic splines but also focuses on the practical implementation of both concepts with an emphasis on the various types of boundary conditions that may be used. In particular, different configurations featuring free end conditions, not-a-knot end conditions or particular tangent orientations to build both open and closed parametric curves and surfaces are detailed. Several source codes—written in Python 3.8—are provided with the intent to facilitate the reproduction of presented results.
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Dates and versions

hal-03017566 , version 1 (20-11-2020)
hal-03017566 , version 2 (06-04-2021)


  • HAL Id : hal-03017566 , version 2


Quentin Agrapart, Alain Batailly. Cubic and bicubic spline interpolation in Python. [0] École Polytechnique de Montréal. 2020. ⟨hal-03017566v2⟩


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