Implement Persistence Diagram to Persistence Image transformation - Githubissues

jakipatryk / spark-persistent-homology

(WIP, not fast enough for any production usage yet) Library for persistent homology computations in Apache Spark.

Apache License 2.0

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Implement Persistence Diagram to Persistence Image transformation #8

Closed jakipatryk closed 1 year ago

jakipatryk commented 2 years ago

Background on Persistence Images: https://jmlr.org/papers/v18/16-337.html

Minimum requirements

Persistence Diagram to Persistence Image function that has:

gaussian kernel with configurable variance
configurable Persistence Image resolution
pluggable weighting function
option to calculate only for one dimension, for multiple dimensions (in this case option to output multiple Persistence Images or one Persistence Image concatinated)

Ideal solution

In addition to section above:

pluggable kernel
configurable strategy on computing integral on pixel region