## Box Blur

If you ever have heard the terms “Box Blur”, “Boxcar Function”, “Box Filter”, “Boxcar Integrator” or other various combinations of those words, you may have thought it was some advanced concept that is hard to understand and hard to implement. … Continue reading

## Resizing Images With Bicubic Interpolation

In the last post we saw how to do cubic interpolation on a grid of data. Strangely enough, when that grid is a grid of pixel data, bicubic interpolation is a common method for resizing images! Bicubic interpolation can also … Continue reading

## Cubic Hermite Rectangles

Time for another Frankenstein post. This time we are going to combine the following: Cubic Hermite Interpolation Rectangular Bezier Patches The end result is going to be a Cubic Hermite Rectangle Surface like the below. Note that the curve only … Continue reading

## Cubic Hermite Interpolation

It’s a big wide world of curves out there and I have to say that most of the time, I consider myself a Bezier man. Well let me tell you… cubic Hermite splines are technically representable in Bezier form, but … Continue reading

## Lagrange Rectangles

In this post we are going to Frankenstein ideas from two other recent posts. If you haven’t seen these yet you should probably give them a read! Ingredient 1: Lagrange interpolation Ingredient 2: Rectangular Bezier Patches Lagrange Surface Lets say … Continue reading

## Finite Differences

Finite differences are numerical methods for approximating function derivatives – otherwise known as the slope of a function at a specific point on the graph. This can be helpful if it’s undesirable or impossible to calculate the actual derivative of … Continue reading