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docs: add mention of Hermite Splines in joss paper
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sathvikbhagavan committed Jul 6, 2024
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# Summary

Interpolations are used to estimate values between known data points using an approximate continuous function.DataInterpolations.jl is a Julia [@Bezanson2017] package containing 1D implementations of some of the most commonly used interpolation functions. These include Constant Interpolation, Linear Interpolation, Quadratic Interpolation, Lagrange Interpolation [@lagrange], Quadratic Splines, Cubic Splines [@Schoenberg1988], Akima Splines [@10.1145/321607.321609], B-Splines [@Curry1988] [@DEBOOR197250] and Regression based B-Splines. Along with these, the package also has methods to fit parameterized curves with the data points and Tikhonov regularization [@Tikhonov1943OnTS] [@amt-14-7909-2021] for obtaining smooth curves. The package also provides functionality to compute integrals and derivatives upto second order for those interpolations methods.
Interpolations are used to estimate values between known data points using an approximate continuous function.DataInterpolations.jl is a Julia [@Bezanson2017] package containing 1D implementations of some of the most commonly used interpolation functions. These include Constant Interpolation, Linear Interpolation, Quadratic Interpolation, Lagrange Interpolation [@lagrange], Quadratic Splines, Cubic Splines [@Schoenberg1988], Akima Splines [@10.1145/321607.321609], Cubic Hermite Splines, Quintic Hermite Splines, B-Splines [@Curry1988] [@DEBOOR197250] and Regression based B-Splines. Along with these, the package also has methods to fit parameterized curves with the data points and Tikhonov regularization [@Tikhonov1943OnTS] [@amt-14-7909-2021] for obtaining smooth curves. The package also provides functionality to compute integrals and derivatives upto second order for those interpolations methods.

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