I wrote the following sentences, and I am wondering about the words used to join the fragments together.
Though 2D shape of a signal post is circular, the minimum rectangle is adopted in lieu of the minimum bounding circle at this instant. This is mainly due to the fine searching is taken place at a later stage.
- Here, I am using though to join two sentence parts which are related. I am also using some other phrases e.g. in lieu of, and I am bit confused whether my sentence is still grammatically correct.
- If I think about the flow of these two sentences, the second on should come after the first one has happened. I am trying to express this with the phrase “this is mainly due to”, but I feel if I used “this is because of the fine …”, it would make more sense.