Lauri Peltonen in blog shared the basic knowledge of Lagrange interpolation, including its definition, steps, and applications, and mentioned the importance of polynomial interpolation in ZKP. Lauri Peltonen在博客中分享了Lagrange插值方法的基础知识,包括其定义、步骤和应用,并提及了在ZKP中多项式插值的重要性。
Notes
Lagrange interpolation generates the unique lowest degree polynomial through all given points
Interpolation can be used for data recovery, such as audio data recovery
In ZKP, polynomial interpolation supports efficient verification and comparison
Schwartz-Zippel lemma allows verification of polynomials through a few points
Lagrange method is simple and easy to understand, suitable for teaching and basic implementation
In practical applications, other methods such as FFT may be more efficient