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Computational Geometry · Lecture Introduction & Convex Hulls

What is a convex hull in computational geometry?
Note that the convex hull of a set is a closed "solid" region, including all the points inside.
Often the term is used more loosely in computational geometry to mean the boundary of this region, since it is the boundary we compute, and that implies the region.
What is the convex hull method?
Computing the convex hull means that a non-ambiguous and efficient representation of the required convex shape is constructed.
The complexity of the corresponding algorithms is usually estimated in terms of n, the number of input points, and sometimes also in terms of h, the number of points on the convex hull.
What is the basics of computational geometry?
Computational geometry is the design and analysis of algorithms for geometric problems that arise in low dimensions, typically two or three dimensions.
Many elegant algorithmic design and analysis techniques have been devised to attack geometric problems, and these problems have huge applications in many other fields.
The convex hull may be defined either as the intersection of all convex sets containing a given subset of a Euclidean space, or equivalently as the set of all convex combinations of points in the subset.

What is a convex hull in computational geometry?