lets Figure 10 shows some quadratic B-spline scaling functions and wavelets. The synthesis matrices P and o for the quadratic case are 「罪 部 igure 10 Quadratic B-spline scaling functions and wavelets for =3A.3 Endpoint-interpolating quadratic B-spline wavelets Figure 10 shows some quadratic B-spline scaling functions and wavelets. The synthesis matricesPj and Qj for the quadratic case are P1 = 1 2  2 1 1 1 1 2  P2 = 1 4 2 4 4 2 2 3 1 1 3 2 2 4 3 5 Pj3 = 1 4 2 6 6 6 6 6 6 6 4 4 2 2 3 1 1 3 3 1 1 3 3
1
1
3 3 1 1 3 2 2 4 3 7 7 7 7 7 7 7 5 Q1 = q 5 4  ￾2 3 ￾3 2  Q2 = q 3 4936 2 4 ￾144 177 21 ￾109 ￾53 53 109 ￾21 ￾177 144 3 5 Q3 = q 1 713568 2 6 6 6 6 4 ￾4283. 828550 5208. 746077 780 ￾3099. 909150 ￾1949 ￾11 1300. 002166 3481 319 ￾253. 384964 ￾3362 ￾1618 ￾8. 737413 8. 737413 1618 3362 253. 384964 ￾319 ￾3481 ￾1300. 002166 11 1949 3099. 909150 ￾780 ￾5208. 746077 4283. 828550 3 7 7 7 7 5 Qj4 = q 3
2j 136088 2 6 6 6 6 6 6 6 6 6 6 6 4 ￾381. 872771 464. 322574 69. 531439 ￾276. 334798 ￾173. 739454 ￾1 115. 885924 310. 306330 29 ￾22. 587463 ￾299. 698329 ￾147 ￾1 0. 778878 144. 233164 303 29 ￾28. 436576 ￾303 ￾147 0. 980572 147 303 ￾1 ￾29 ￾303
29 1 147
￾147 ￾0. 980572 ￾29
303 28. 436576 1 ￾303 ￾144. 233164 ￾0. 778878 147 299. 698329 22. 587463 ￾29 ￾310. 306330 ￾115. 885924 1 173. 739454 276. 334798 ￾69. 531439 ￾464. 322574 381. 872771 3 7 7 7 7 7 7 7 7 7 7 7 5 Figure 10 Quadratic B-spline scaling functions and wavelets forj = 3. 8