is.convex(x)"owin").TRUE if x is convex.x is a rectangle, the result is TRUE.  If x is polygonal, the result is TRUE if x consists of a
  single polygon and this polygon is equal to the minimal convex hull
  of its vertices computed by chull. 
  If x is a mask, the algorithm first extracts all boundary
  pixels of x using vertices. Then it computes
  the (polygonal) convex hull $K$ of the boundary pixels.
  The result is TRUE if every boundary pixel lies within 
  one pixel diameter of an edge of $K$.
owin,
  convexhull.xy,
  vertices