Wanted to clarify are [alpha, beta, and gamma] the same for both initial equations, and is the barycentric coordinates just the point of most texture in that specific shape?
jonathanlu31
I believe alpha, beta, and gamma are the same for both equations here since that's what is shown is Disc 2 and if you multiply my the texture matrix on both sides in equation 2, then it gives you equation 3. I think the barycentric coordinates are just a way to express points within a triangle and interpolate the texture value there.
Separately, sorry if I missed this, but how are the triangle vertex coordinates determined again? In both the screen and texture space
waleedlatif1
I understand the concept behind barycentric coordinates to accomplish the interpolation for textures, colors, and positions, but I was just curious how efficient this was when computed over a large, or very complex object? Given that we have to solve a linear system for alpha, beta, and gamma, this makes me curious if the efficiency is maintained when the object becomes large or complex, when split into triangular subdomains.
Wanted to clarify are [alpha, beta, and gamma] the same for both initial equations, and is the barycentric coordinates just the point of most texture in that specific shape?
I believe alpha, beta, and gamma are the same for both equations here since that's what is shown is Disc 2 and if you multiply my the texture matrix on both sides in equation 2, then it gives you equation 3. I think the barycentric coordinates are just a way to express points within a triangle and interpolate the texture value there.
Separately, sorry if I missed this, but how are the triangle vertex coordinates determined again? In both the screen and texture space
I understand the concept behind barycentric coordinates to accomplish the interpolation for textures, colors, and positions, but I was just curious how efficient this was when computed over a large, or very complex object? Given that we have to solve a linear system for alpha, beta, and gamma, this makes me curious if the efficiency is maintained when the object becomes large or complex, when split into triangular subdomains.