A soil scientist takes samples of the soil in a certain area and records the following data:
able[[Site,Location,Soil type],[A,(1,2),clay],[B,(6,3),sand],[C,(2,4),silt],[D,(4,5),chalk]]
The soil scientist takes an additional sample at location E(6,0) and determines that the soil type at E is loam.
(d) If site E is added to the Voronoi diagram, which cells would be divided? Give a reason for each cell that would be divided.
(c) Given the new sample at site E, does your answer to (b) change? Give a reason why or why not.
Assume the units are metres.
(f) The study area is bounded by the line formed by the lines x=0,
(a) Beginning with sites A and B, and continuing alphabetically, draw a Voronoi diagram for sites A,B,C, and D, using the incremental y=0,x+7, and y=6 insertion algorithm. Show your method by drawing:
Determine the area of the study area that is likely to be loam.
(i) the Voronoi diagram after sites A and B are added
(ii) the Voronoi diagram after site C is added
(iii) the finished Voronoi diagram.
(b) Use nearest neighbour interpolation to determine the likely soil type at point M(3.5,2.5).
(c) Give a reason why it is not possible to use nearest-neighbour interpolation to determine the likely soil type at point N(5,4).