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如何在不丢失形状的情况下过滤数据?

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Is there a filtering algorithm that converges at some shape? My problem is that I am filtering a two dimensional graph, and applying filtering repeatedly. I'm down-sampling data and re-sampling it using gaussian filters (footprints), but the graph changes its shape with every subsequent filtering. What I need is to achieve some final shape, so that after enough filtering, the graph will no longer change shape.Is there a filtering algorithm that converges a




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