Biharmonic Bézier surface
Okay, imagine you have a piece of paper that can bend and stretch.
Now, let's say you want to make a really cool shape on that paper. You could draw individual dots and connect them with lines to make a shape, but that might not be very smooth or curvy.
Instead, you could use something called a Biharmonic Bézier surface.
Basically, this is a fancy math formula that helps you create a really smooth and curvy shape on your paper. It works by using points, called control points, that you can move around to change the shape.
Think of it like playing with Play-Doh. You can squish and mold it with your hands to create different shapes, but with a Biharmonic Bézier surface, you use math to squish and mold the paper.
This special formula helps the paper bend and stretch in just the right way to create a beautiful, smooth shape. It's like a magic trick for paper!
Now, let's say you want to make a really cool shape on that paper. You could draw individual dots and connect them with lines to make a shape, but that might not be very smooth or curvy.
Instead, you could use something called a Biharmonic Bézier surface.
Basically, this is a fancy math formula that helps you create a really smooth and curvy shape on your paper. It works by using points, called control points, that you can move around to change the shape.
Think of it like playing with Play-Doh. You can squish and mold it with your hands to create different shapes, but with a Biharmonic Bézier surface, you use math to squish and mold the paper.
This special formula helps the paper bend and stretch in just the right way to create a beautiful, smooth shape. It's like a magic trick for paper!