Geometric Continuity of Curves and Surfaces

Geometric Continuity of Curves and Surfaces

by Przemysław Kiciak

Errata

p. xv3: is highest common factor , ought to be highest factor . p. 22⁷: is Pn

j D0a_jgi Cj;j CnC1 , ought to be Pn

j D0a_jgi Cj;i CnC1 . p. 23^2;3: is

si;i Cn DciqQi;i CnC

i Cn 1X

j Di C1

yi;j i C1hj;i Cn;

ti;i Cn DcipQi;i Cn 1C

i Cn 1X

j Di C1

yi;j i C1gj;i Cn 1:

ought to be

si;i CnDc_iqQi;i CnC

i Cn 1X

j Di C1

y_{i;j i C1}hj;i Cn; where Qqi;i CnDK_{i Cn}. Qp_{i;i Cn}/;

ti;i CnDcipQi;i Cn 1C

i Cn 1X

j Di C1

yi;j i C1gj;i Cn 1;where Qpi;i Cn 1DKi Cn. Qpi;i Cn 1/:

p. 44³: is Equation (3.6) , ought to be Equation (3.7) . p. 57, Figure 3.9: is c2 , ought to be Qc2 (twice).

p. 71¹¹: is q.s; u/ and r.v; t/ , ought to be q.v; t/ and r.u; s/ . p. 76⁷: is

p_i;u

i C1

Db_i;1q_i;ui Cc_i;1q_i;si; (4.15) ought to be

p_i;u

i C1

Db_i;1q_i;u

i

Cc_i;1q_i;s

i; (4.15)

p. 12712: is choosen , ought to be chosen . p. 1726: is ft and gu , ought to be f_tⁿand gⁿ_u .

p. 2041: is

a_{i C1} Dp_i.u_{i C1}/ D ci C1 ci

6 h²_i Cci

2h²_i b_ih_iCa_i: ought to be

ai C1 Dpi.ui C1/ D c_{i C1} c_i

6 h²_i Cc_i

2h²_i Cbihi Cai: p. 2058: is a < u1<


< n_N Db , ought to be a < u1<


< u_N Db . p. 20610: is e⁰.t / < 2M2hi , ought to be e⁰.u/ < 2M2hi .

p. 207^5;6: is h_{i 1}

h_{i 1}Ch_idi 1C2di C h_i

h_{i 1}Ch_idi C1 D f Œu_{i 1}; u_i; u_{i C1} hi 1

hi 1Chi

f⁰⁰.u_{i 1}/ 2f⁰⁰.u_i/ hi

hi 1Chi

f⁰⁰.u_{i C1}/:

ought to be hi 1

h_{i 1}Ch_id_{i 1}C2d_iC hi

h_{i 1}Ch_id_{i C1}D 6f Œui 1; ui; ui C1 h_{i 1}

h_{i 1}Ch_if⁰⁰.ui 1/ 2f⁰⁰.ui/ h_i

h_{i 1}Ch_if⁰⁰.ui C1/: