Bilinear interpolation on a quadrilateral using Barycentric coordinates
1–10 of 37 posts
Re: Bilinear interpolation on a quadrilateral using Barycentric coordinates
#2This actually seems quite easy to implement. Any thoughts on the performance hit a program takes when going this route instead of using one of the workarounds?
Re: Bilinear interpolation on a quadrilateral using Barycentric coordinates
#3This is one of those things that feels like a broken/half-assed/oversimplified implementation got completely proliferated into the world a long time ago and it took several years for the right person to do a full-depth mathematical analysis to reveal what we should've been doing all along. Similar to antialiasing and sharpening, texture filtering, color spaces and gamma correction, etc.
It reminded me of this article specifically: https://bgolus.medium.com/the-best-darn-grid-shader-yet-727f...
Re: Bilinear interpolation on a quadrilateral using Barycentric coordinates
#4Is this really new? Will it become an option in Unity, Unreal and the like? The results seem convincing!
Re: Bilinear interpolation on a quadrilateral using Barycentric coordinates
#5I am definitely not an expert in 3D graphics... but this looks such an astonishingly simple and effective method, it makes me to question why this wasn't already thought of and picked up?
I get that with fixed-pipeline GPUs you do what the hardware and driver make you do, but with the advent of programmable pipelines, you'd though improving stuff like this would be the first things people do?
Anyway, gotta run and implement this in my toy Metal renderer.
Re: Bilinear interpolation on a quadrilateral using Barycentric coordinates
#6This is one of those things that feels like a broken/half-assed/oversimplified implementation got completely proliferated into the world a long time ago and it took several years for the right person to do a full-depth mathematical analysis to reveal what we should've been doing all along. Similar to antialiasing and sharpening, texture filtering, color spaces and gamma correction, etc. It reminded me of this article…
It's quite astonishing how complicated it is to draw lines in 3D graphics. As a novice it was a little unbelievable that the primitives for drawing lines was effectively limited to a solid screen-space pixel wide line. Want to draw a 2 pixel wide line? Do it yourself with triangles.
Re: Bilinear interpolation on a quadrilateral using Barycentric coordinates
#7This is one of those things that feels like a broken/half-assed/oversimplified implementation got completely proliferated into the world a long time ago and it took several years for the right person to do a full-depth mathematical analysis to reveal what we should've been doing all along. Similar to antialiasing and sharpening, texture filtering, color spaces and gamma correction, etc. It reminded me of this article…
The fact that triangles have proliferated is not due to half-assery. Hardware can rasterize them very quickly, and a triangle can have only one normal vector. Quads can be non-planar. It's true that quads are nice for humans and artists though!
As an aside, Catmull-Clark subdivision has been around since 1978, which, as a first step, breaks an arbitrary polyhedron into a mesh of quadrilaterals.
Re: Bilinear interpolation on a quadrilateral using Barycentric coordinates
#8This is one of those things that feels like a broken/half-assed/oversimplified implementation got completely proliferated into the world a long time ago and it took several years for the right person to do a full-depth mathematical analysis to reveal what we should've been doing all along. Similar to antialiasing and sharpening, texture filtering, color spaces and gamma correction, etc. It reminded me of this article…
It's quite astonishing how complicated it is to draw lines in 3D graphics. As a novice it was a little unbelievable that the primitives for drawing lines was effectively limited to a solid screen-space pixel wide line. Want to draw a 2 pixel wide line? Do it yourself with triangles.
Ironically, back in the OpenGL 2.0 days, it was a lot easier to do things like this.
Re: Bilinear interpolation on a quadrilateral using Barycentric coordinates
#9This is one of those things that feels like a broken/half-assed/oversimplified implementation got completely proliferated into the world a long time ago and it took several years for the right person to do a full-depth mathematical analysis to reveal what we should've been doing all along. Similar to antialiasing and sharpening, texture filtering, color spaces and gamma correction, etc. It reminded me of this article…
The fact that triangles have proliferated is not due to half-assery. Hardware can rasterize them very quickly, and a triangle can have only one normal vector. Quads can be non-planar. It's true that quads are nice for humans and artists though! As an aside, Catmull-Clark subdivision has been around since 1978, which, as a first step, breaks an arbitrary polyhedron into a mesh of quadrilaterals.
Yeah, I don't think triangles will go away anytime soon. And, sometimes they're even preferred in certain cases by artists (think creases on jeans).
Re: Bilinear interpolation on a quadrilateral using Barycentric coordinates
#10Very interesting! This reminds me of how stumped I was learning about UV unwrapping for texturing. Even simple models are difficult to unwrap into easily editable textures. "Why can't I just draw on the model?"
Blender has a few plugins these days that make it a lot easier --- one that impressed me was Mio3 UV: https://extensions.blender.org/add-ons/mio3-uv/