int tmpMinimumTile;
int tmpMaximumTile;
// Create utility objects.
tileCalculator = new TileCalculator();
tileOrdering = new UnsignedIntegerComparator();
// Create a rectangle representing the bounding box.
boundingBox = new Rectangle2D.Double(left, bottom, right - left, top - bottom);
// Calculate the maximum and minimum tile values for the bounding box.