Enhanced curve representations using piecewise non-linear binary subdivision scheme

Abstract

This study presents a piecewise non-linear binary subdivision scheme based on a four-point linear binary subdivision scheme. This scheme is first transformed into a piecewise linear subdivision scheme and then into a piecewise non-linear subdivision scheme. The non-linear subdivision approach removes artifacts and distortions from limit curves, producing better continuous curves. The study demonstrates that this technique is a workable technique for producing smooth curves, especially when avoiding bends, distortion, and oscillation.

Keywords

• Artifacts linear average
• non-linear average
• piecewise function
• subdivision schemes
• 65D17
• 65D15