# Integration: Thoughts

### Roy Schestowitz

###### Special thanks to Eric Meyer for creating this tool

# Overview

- These notes roughly explain how integration fits into AART
- It then explains about a possible framework
- Ultimately, we want integration to be fully-incorporated

# The Two Components

- Two stages that the objective function is concerned with:
- Model building
- Model evaluation

- Why do I break it down in this way?
- ...Well, simply because it's easier to comprehend w.r.t. algorithm

# Model Building

- This stage takes shape component and intensity component
- It then:
- Calculates a warp (shape) and applies to to intensity
- This involves interpolation
- Some data does not appear in intensity component

# Model Evaluation

- Now we need to evaluate the model which was constructed
- If integration was involved, the units here would be different

# The Plan and the Questions

- Having chosen a warp, mean shape can be extracted
- From this, mean intensity is obtained
- Can now warp all shapes/intensities to mean
- Integrate each of the couples?
- How to aggregate values from integration?
- How does that form a model

# Current Situation

- An argument is passed into all relevant functions
- Several open question
- More theory than practice
- Integration is said to avoid point-hiding
- Hence essential

# In Summary

- Too many uncertainties to proceed