Find the boundaries of a convex set
Finds the boundaries of a bounded convex set along a specified
straight line, using a bisection approach. It is mainly intended for
use within arms
.
convex.bounds(x, dir, indFunc, ..., tol=1e-07)
x |
a point within the set |
dir |
a vector specifying a direction |
indFunc |
indicator function of the set |
... |
parameters passed to |
tol |
tolerance |
Uses a bisection algorithm along a line having parametric representation
x + t * dir
.
A vector ans
of length two. The boundaries of the set are
x + ans[1] * dir
and x + ans[2] * dir
.
Giovanni Petris GPetris@uark.edu
## boundaries of a unit circle convex.bounds(c(0,0), c(1,1), indFunc=function(x) crossprod(x)<1)
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