To render a stroke on the canvas, we introduce an extensible algorithm, whose input parameters include the center of the circumcircle of the stroke ([X.sub.c], [Y.sub.c]) and the corresponding circumradius R, replaced by .R and R[[omega].sub.R] for an asymmetrical stroke, where [[omega].sub.R] is a controlling factor on the symmetry of strokes.

For update strategy, pixel update method, minimum and maximum circumradius [[eta].sub.min], [[eta].sub.max] are explained in Section 3.3.2.

and the corresponding zonotope [Z.sub.V] has inradius [r.sub.V] [approximately equal to] 0.18290 and circumradius [R.sub.V] [approximately equal to] 0.98199; see Fig.

leading to the inradius [??][approximately equal to] 0.191412 and circumradius [??][approximately equal to] 0.981147, respectively.

where CR(i) is the

circumradius value obtained from TP(I), which is also the radius of the laser spot, [l.sub.1](i) = [norm.sub.2] ([P.sub.1](i), [P.sub.2](i)), [l.sub.2](i) = [norm.sub.2]([P.sub.2](i),[P.sub.3](i)), and [l.sub.3](i) = [norm.sub.2] ([P.sub.1](i), [P.sub.3](i)).

For example, he introduced the letter e to represent the base of the system of natural logarithms; the use of the Greek letter [pi] for the ratio of circumference to diameter in a circle also is largely due to Euler; the symbol i for [square root of -1]; the use of the small letters a, b and c for the sides of a triangle and of the corresponding capitals A, B and C for the opposite angles stems from Euler, as does the application of the letters r, R and s for the inradius,

circumradius and semiperimeter of the triangle respectively; the designation lx for logarithm of x; the use of [SIGMA] to indicate a summation; and, perhaps most important of all, the notation f(x) for a function of x are all due to Euler.

The

circumradius of ([p.sub.i], [p.sub.j], [p.sub.k]) is [r.sub.ijk] = d([v.sub.ijk], [p.sub.i]) for l [element of] {i, j, k}, and the circumcircle of ([p.sub.i], [p.sub.j], [p.sub.k]) is

where [absolute value of ([??])] is the

circumradius of AABC.

1 the arithmetic average is shown--the dotted polygon, and the

circumradius of the Surface Measurement

So the

circumradius is [D.sub.s] = 49mm (0.382 x [[lambda].sub.1]); element spacing is S = 16mm (0.11 x [[lambda].sub.1]); overall height is H = 128 mm (0.998 x [[lambda].sub.1]), as depicted in Figure 14.

In this paper, we propose a bound based on the function values at the vertices and the

circumradius of an n-circumsphere.

Choose a starting triangle from T, put the starting triangle into F, and put its edges into E (the starting triangle is selected from those triangles with a largest z coordinate of vertexes and minimum

circumradius).