My understanding is we have a horizontal plane with a specific value for each point (x,y) on the plane. The value is represented by vertical axis Z. Therefore, the input is the black points in the graph, and the output Bezier surface is the colorful surface.

alexkassil

We have Bezier curves, we have Bezier surfaces, are there a 3 dimensional version? Like a Bezier Solid?

andywu1000

It seems that instead of Bezier Solids it would be more efficient to just define Bezier curves for all sides of the solid. At least for graphics applications, I think the interior points for Bezier solids would not contribute anything.

hangg7

Yeah agreed with Andy, in graphics mostly we only care about surface because that is something you are going to render.

My understanding is we have a horizontal plane with a specific value for each point (x,y) on the plane. The value is represented by vertical axis Z. Therefore, the input is the black points in the graph, and the output Bezier surface is the colorful surface.

We have Bezier curves, we have Bezier surfaces, are there a 3 dimensional version? Like a Bezier Solid?

It seems that instead of Bezier Solids it would be more efficient to just define Bezier curves for all sides of the solid. At least for graphics applications, I think the interior points for Bezier solids would not contribute anything.

Yeah agreed with Andy, in graphics mostly we only care about surface because that is something you are going to render.