b'@techreport{,'b'\nTITLE = {On the Width and Roundness of a Set of Points in the Plane},\nAUTHOR = {Smid, Michiel and Janardan, Ravi},\nLANGUAGE = {eng},\nURL = {http://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/94-111},\nNUMBER = {MPI-I-94-111},\nINSTITUTION = {Max-Planck-Institut f{\\"u}r Informatik},\nADDRESS = {Saarbr{\\"u}cken},\nYEAR = {1994},\nDATE = {1994},\nABSTRACT = {Let $S$ be a set of points in the plane. The width (resp.\\ roundness) of $S$ is defined as the minimum width of any slab (resp.\\ annulus) that contains all points of $S$. We give a new characterization of the width of a point set. Also, we give a {\\em rigorous} proof of the fact that either the roundness of $S$ is equal to the width of $S$, or the center of the minimum-width annulus is a vertex of the closest-point Voronoi diagram of $S$, the furthest-point Voronoi diagram of $S$, or an intersection point of these two diagrams. This proof corrects the characterization of roundness used extensively in the literature.},\nTYPE = {Research Report},\n}\n'