The version printed in the SGP 08 proceedings has the following errors,
which HAVE BEEN CORRECTED in the downloadable version on this webpage.

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On page 5, bottom right column, the formula (13) for v is specialized to the
case with no blending (i.e. all blend ratios being 2/3), in which case v is
the Catmull-Clark limit point. 

In order to use blending via (14) correctly, one needs instead to use the
following formula

    v := 1/(n(n+5)) * sum ( 9 f_j + (n-4) p_* )
    (the sum is for j in {0,...,n-1})

This formula reduces to the Catmull-Clark limit formula when the local blend
ratios are 2/3.

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On page 6, the bottom of first column, the paper says that for case m=3:
    b112^0 = b004 + 1/2 (b004 - b103^2)  <-- wrong!
Instead, it should be
    b112^0 = b004 + 1/2 (b004 - b202^2)
           = 3/2 b004 - 1/24 (2 b300^2 + (b210^2 + b120^1) + 4 (b211^2 + b121^1))
(can get the expansion via equation 6).

The expanded-out formula can also be seen in the posted source code:
    const uint num_sides = 3;
    ...
    for (k = 0; k < num_sides; ++k) {
        const uint km  = (k+(num_sides-1)) % num_sides;
        const uint kp  = (k+1) % num_sides;
        pat[k].b112 =
              (3.0/2.0 ) * b004
            - (1.0/12.0) * pat[km].b300
            - (1.0/24.0) * ( pat[km].b210 + pat[kp].b120 )
            - (1.0/6.0 ) * ( pat[km].b211 + pat[kp].b121 );
    }

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