Texture atlas artifacts

Good day.
I develop own renderer of tile maps. But already second week i can’t solve one problem, related with texture atlas. When i enable bilinear or trilinear filtering, there artefacts appear… The reason is clear (interpolation of neighbour pixels). I using OpenGL ES 2.0, simple shaders (some variant of fixed function pipeline), and tried many variations of fragment shader, but whatever I can’t fix this artefacts.
Can any give some advice on the implementation?

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