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Are there physical phenomena that are better expressed by higher degree splines? If so, what are some examples of them and how are these examples discovered?


How is this used to interpolate frames in animation?


Do any of these extra spline-types give the three properties that we want? If so, why would we care about cubic splines, especially if our computational power ever increases over time?


Why do we want to minimize the second derivative, specifically?


What is a concrete example of using cubic interpolation?