FC-15 - Shape

Learning Objectives: 
  • Identify situations in which shape affects geometric operations
  • Develop a method for describing the shape of a cluster of similarly valued points by using the concept of the convex hull
  • Develop an algorithm to determine the skeleton of polygons
  • Find centroids of polygons under different definitions of a centroid and different polygon shapes
  • Calculate several different shape indices for a polygon dataset
  • Compare and contrast different shape indices, include examples of applications to which each could be applied
  • Explain what is meant by the convex hull and minimum enclosing rectangle of a set of point data
  • Exemplify situations in which the centroid of a polygon falls outside its boundary
  • Explain why the shape of an object might be important in analysis