Computer Science: An Overview: Global Edition (12th Edition)

Published by Pearson Higher Education
ISBN 10: 1292061162
ISBN 13: 978-1-29206-116-0

Chapter 10 - Computer Graphics - Chapter Review Problems - Page 489: 30

Answer

See explanation

Work Step by Step

This is a classic example of aliasing in computer graphics, where the sampling rate (pixel spacing) is too coarse to accurately capture the detail of a pattern. Because the sampling points fall every 2 cm, they will land on: Only even-numbered stripes (e.g., stripe 0, 2, 4…) or Only odd-numbered stripes (e.g., stripe 1, 3, 5…), depending on alignment. This means each pixel will consistently sample only one color—either orange or blue, but never both. Possible Appearances in the Final Image All Orange: If sampling starts on an orange stripe and continues every 2 cm. All Blue: If sampling starts on a blue stripe and continues every 2 cm. Flickering or Moiré Patterns: If the sampling grid slightly shifts or the object moves, the sampled color may alternate unpredictably, causing visual artifacts. This happens due to undersampling—the pixel grid is too coarse to resolve the 1 cm stripe pattern. The Nyquist theorem says you need to sample at least twice per cycle to capture a pattern accurately. Here, the sampling rate equals the pattern frequency, leading to aliasing.
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