How to avoid "cross" pattern in texture when using Bilinear filtering

From the official docs: https://docs.unity3d.com/Manual/SL-SamplerStates.html , we can see when using linear filtering, the output image looks smoother. But there is some extra "cross" pattern which not exist in the original texture, as depicted in the following pictures. I wonder how can we get a more "realistic" smoother output without the "cross" patterns?