Is this an analog for cubic interpolation we learned for the 2d picture / antialiasing?
charshou
How would something like Cubic Hermite interpolation generalize to higher dimensional space? I would think that there would be more unknowns that we would need to solve for, so would we use a completely different form of interpolation instead in that case?
RishSharma7
I believe that is correct @charshou. I think Cubic Hermite Interpolation is generally most useful for curve extrapolation in a 3D space, and that's why it's generally super useful for computer graphics where we don't have to deal with further increased dimensionality. However, higher dimensional spaces is likely something that isn't dealt with much in computer graphics. That's just what I got from this reading: https://math.iit.edu/~fass/578_ch6.pdf
Is this an analog for cubic interpolation we learned for the 2d picture / antialiasing?
How would something like Cubic Hermite interpolation generalize to higher dimensional space? I would think that there would be more unknowns that we would need to solve for, so would we use a completely different form of interpolation instead in that case?
I believe that is correct @charshou. I think Cubic Hermite Interpolation is generally most useful for curve extrapolation in a 3D space, and that's why it's generally super useful for computer graphics where we don't have to deal with further increased dimensionality. However, higher dimensional spaces is likely something that isn't dealt with much in computer graphics. That's just what I got from this reading: https://math.iit.edu/~fass/578_ch6.pdf