Grid resampling

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Create a checkerboard $100 \times 100$ grid of alternating black and white pixels. Resample to smaller $n \times n$ sizes by a Lanczos filter of radius $2 / (100 / n)$. This is a simple test for a resampling algorithm.

The original 100x100 grid.

The result for 99x99 (one valley).

Here is the result for 98x98 (two valleys).

Here is the result for 97x97 (three valleys).

You can see a pattern here (the number of valleys keep on incrementing) which continues predictably down until size $65 \times 65$, which is the last image showing more than one color. Here is the result for $65 \times 65$.

The result for 65x65.

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