PAI is a special kind of transformation to the data in which the relative, absolute and geometric accuracies are maintained within allowed limits. The allowable limits vary for different scales of data sets, but the basic principles remain the same.

The total area is divided into triangles based on Delauney Triangulation and transformation is applied inside each triangle, assuming it can be treated as if it is a perfect rubber sheet.

Complex functionality

The formula for controlling the transformation inside a triangle is a weighted average of displacement vectors specified at the corners. The weight of displacement vector at each vertex is a complex function of distance from the three sides to make it smooth.

As a result the PAI tool developed by Kampsax India is superior to other PAI tools available in the world market.

Features

The tool is also unique due to the following:

• The features with high accuracy are not moved. But the features connected to these features will face relative accuracy threat, as one end is moved while the other end is forced not to move. Therefore, special treatment is applied to the elements connected to these locked features.
• Areas that have better accuracy are dealt with making Blister polygons around the higher accuracy areas so that those elements are not touched at all.
• Local shift or rotation in some areas is corrected by making separate polygons and using special transformation in those polygons.