Construction of a convex hull - a picture
illustrating a method of producing multi-dimensional
convex hull of a set of points
Empty circumference property
Illustration of the empty circumference property
of a Delaunay triangulation: there are no other points
inside a circumference of each triangle.
Delaunay triangulation as a convex hull on a sphere
This figure illustates the method of constructing
Delaunay tesselation in dimension k: map dataset on
a sphere in k+1 dimension, construct a convex hull of
this mapped set and you get a Delaunay of original set
Interpolation by triangulation
This figure shows examples of interpolation
from irregular points by triangulation method.
It shows gridding results from the same set with 3
different options of function INTERPTR:
with pure linear triangular interpolation, with
extrapolation beyond the convex hull (with function
EXTRAPTR) and blending with gradient information
(with function GRAD2EST).
Interpolation by objective mapping
This figure shows gridded surface and associated
error map of noisy irregular set of points, obtained
with OBJMAP function.
Filling missing values
Restoration of missing values of a matrix with function
FILLMISS. Missing values are adaptively interpolated
from available neighbouring elements.
Quadtree division
Illustration of the Quadtree concept:
To obtain values in a certain block only points
within this block and its neighbours are used;
if some neighbouring blocks are "underpopulated"
their own "secondary" neighbours are also included.
And here is the function sagapic.m which can produce all these pictures. It can be used as a demo for many programs in the SaGA Toolbox.
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