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shadow mapping acknes

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hi, I have very common problem with well know shadow mapping ackne and I read some solutions on this forum, but I'm still confused. first take a look: http://asmcode.idl.pl/gdimg/sm_ackne.png http://asmcode.idl.pl/gdimg/sm_ackne2.png some of you suggested to try manipulate with "bias" and "offset" values. So I tried using glPolygonOffset with many configurations, but it only helped with floor - torus is still ugly. Then I tried to use extension glPolygonOffsetEXT, but i realized that I dont have this extension (gf 8600 GT). Last thing I did was adding some value in fragment program to shadow map texel (this is bias or offset?). I have no idea what I'm doing wrong.. best regards

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The first picture's issue can be solved, as you said by altering bias matrix, or polygon offset.
The second, I think it's just you are using too low resolution shadow map.

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