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3

You probably want to set sigma to be a fraction of the radius, rather than a fixed value. Sigma controls the actual shape of the filter, while radius just controls how far out the filter gets cut off (as Gaussians truly have infinite radius, so we have to cut them off somewhere to use them in practice). With sigma set to 0.5, you're making a filter that's ...

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This is an answer to your comment rather than the title of your question. It can be considered as a partial answer. The bias in path tracers are introduced by the estimators. For example, think of the following two equations: $$I = \int_{\Omega} f(\omega) d\omega$$ $$F = \frac{1}{N} \sum_{i}^{N} \frac{f(\omega)}{p(\omega)}$$ where $p: \Omega \to R$. It ...

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Minification vs magnification is an extension of mipmap selection. When you calculate the desired mip level, it can come out to be less than 0 (or in general, less than the sampler's configured minimum LOD). In that case you're doing magnification of the lowest mip level. If the desired level comes out to a value greater than 0 then you're doing minification....

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