Can a sentence start with "due to"?

I think a sentence cannot start with due to. But if I need to say due to this thing something is happening how can I say it?

How can I write the following sentence correctly?

Due to the changes of polygon shapes, similar error cannot be obtained when computing the residuals with respect to each other.

After posting this question, I found the following link: Can a sentence start with "Due to" (UsingEnglish.com). A post in that thread says

"Due to" is a false friend. It means, caused by - not as a result of, because of or on account of.

Since due to is an adjective, it needs a noun or pronoun to modify. To assure this functioning, the safest place for due to is after a form of the verb to be because there it is always serves as an adjective: "The cancellation was due to bad weather" (due to modifies the noun cancellation).

The most dangerous placement of due to is at the head of a sentence. In "Due to rain" or in "Due to the lateness of the hour" or "Due to a cold I was unable to attend", due to is treated as an adverbial phrase. this is a misuse. A test to determine whether due to is being used correctly is to replace it with "caused by" or "attributed to", which is what due to means. If the replacements make sense, due to is correctly used, as it is in "The explosion was due to [caused by or attributed to] carelessness."

Source: AGU Grammar and Style Guide 3.1

(Casiopea, #2 16-May-2006, 13:56)

Now I am so confused...

Here's a question that the Google NGram Viewer can actually help with. Look at the values on the Y axis. The usage of "Due to" at the beginning of a sentence has reached 0.0008% in 2008. That may not sound like much, but it represents orders of magnitude more frequency than most of the NGrams offered as proof on this SE site.

Only the severest and most arbitrary prescriptivist would argue that all these instances are wrong.