1-d B-B Spline Polynomial and Hilbert Scan for Graylevel Image Coding - Bezier and Splines in Image Processing and Machine Vision - page 66

Table 3.1. Illustration of approximation techniques.

No. of Original data Approx. Error in v 1

segments data values approximation

140 140.0000 0.0000

140 143.1117 -3.1117

140 146.1098 -6.1098

157 148.9941 8.0059

1 157 151.7647 5.2353 155.8432

162 154.4216 7.5784

157 156.9647 0.0353

157 159.3941 -2.3941

157 161.7098 -4.7098

166 163.9117 2.0883

166 166.0000 0.0000

166 166.0000 0.0000

174 170.3444 3.6556

2 174 172.6844 1.3156 182.0400

174 173.0200 0.9800

166 171.3511 -5.3511

166 167.6777 -1.6777

162 162.0000 0.0000

166 166.0000 0.0000

166 165.4410 0.5590

162 164.8388 -2.8388

162 164.1936 -2.1936

166 163.5051 2.4949

162 162.7735 -0.7735

162 161.9988 0.0012

162 161.1808 0.8192

162 160.3198 1.6802

157 159.4156 -2.4156

3 157 158.4682 -1.4682 160.8947

157 157.4777 -0.4777

157 156.4440 0.5560

157 155.3672 1.6328

157 154.2472 2.7528

157 153.0841 3.9159

157 151.8778 5.1222

148 150.6283 -2.6283

148 149.3357 -1.3357

148 148.0000 0.0000