A Novel Line Hatching Style through Conformal Mapping

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  • Pen-and-ink line hatching is a non-photorealistic rendering (NPR) image style typically characterized by monochrome, locally near-parallel lines. Our motivation was to generate line hatching images inspired by the Grendel image by Emil Antonucci. Antonucci's images are composed of many cells containing relatively short near-parallel lines. We develop an automatic NPR system that converts a photo into an output image portraying a novel line hatching style. One key characteristic of our approach is its use of conformal mapping to reshape segmented regions into a standardized shape. After drawing the lines on the standardized shape, we then transfer the lines back to the segment region. The transformation automatically distorts the lines to follow the segment region contours. Our process generates line hatching images that have short near-parallel lines, lines that change direction to represent feature boundaries, line density and line width variations to represent tone intensity, edge lines, and line perturbations.

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  • Copyright © 2021 the author(s). Theses may be used for non-commercial research, educational, or related academic purposes only. Such uses include personal study, research, scholarship, and teaching. Theses may only be shared by linking to Carleton University Institutional Repository and no part may be used without proper attribution to the author. No part may be used for commercial purposes directly or indirectly via a for-profit platform; no adaptation or derivative works are permitted without consent from the copyright owner.

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  • 2021

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