What is the difference in between perception, inference, judgement?

This example is useful for me to understand better of the differences.

I see someone walking in with a wet umbrella:

• Perception: Someone walked in with a wet umbrella
• Inference: It must be raining outside
• Judgement: I choose not to go outside

Backlinks

• Bayesian inference
  • In the note What is the difference in between perception, inference, judgement?, I have an example of:
• Helmholtz's theory of unconscious inference
  • This is one of the Multiple approaches to perception listed in Goldstein, Cognitive Psychology. I got confused because it uses the word inference, see What is the difference in between perception, inference, judgement?.