Color Visualization of 2D Segmentations
Christoph Dalitz, Tobias Bolten, Oliver Christen
2013
Abstract
This paper deals with the problem of coloring a two-dimensional segmentation result in such a way that each segment has a different color with the constraint that adjacent segments have sufficiently distinct colors to be easily distinguishable by a human viewer. Our solution for this problem is based on a balanced coloring of the neighborhood graph built from the area Voronoi diagram. The balanced coloring with only a limited number of colors is subsequently modified to assign each segment a unique color. For picking the initial palette of evenly distributed colors, we propose a method that is based on the physical analogy of energy minimization in a Wigner crystal. To make the energy formula applicable to arbitrary color spaces and distance measures, we give generalized definitions for the center and radius of a color space with an arbitrary distance metric. The individual steps of our coloring algorithm have been evaluated on the PRIMA dataset.
References
- Antonacopoulos, A., Bridson, D., Papadopoulos, C., and Pletschacher, S. (2009). A realistic dataset for performance evaluation of document layout analysis. In International Conference on Document Analysis and Recognition (ICDAR), pages 296-300.
- Arcelli, C. and di Baja, G. S. (1986). Computing voronoi diagrams in digital pictures. Pattern Recognition Letters, 4:383-389.
- Deutsches Institut für Normung (2001). Farbmetrische Bestimmung von Farbabständen bei Körperfarben nach der DIN99-Formel. DIN 6176.
- Devillers, O. (2002). The delaunay hierarchy. International Journal of Foundations of Computer Science, 13:163- 180.
- Ikonomakis, N. and Plataniotis, K. (1999). A region-based color image segmentation scheme. In Visual Communications and Image Processing (VCIP), pages 1201- 1209.
- K. Kise, A. Sato, M. I. (1998). Segmentation of page images using the area voronoi diagram. Computer Vision and Image Understanding, 70:370-382.
- Lu, Y. and Tan, C. (2005). Constructing area voronoi diagram in document images. In International Conference on Document Analysis and Recognition (ICDAR), pages 342-346.
- Matula, D., Shiloach, Y., and Tarjan, R. (1980). Two lineartime algorithms for five-coloring a planar graph. Technical Report STAN-CS-80-830, Stanford University.
- Mojsilovic, A. and Soljanin, E. (2001). Color quantization and processing by fibonacci lattices. IEEE Transactions on Image Processing, 10:1712-1725.
- Pemmaraju, S., Nakprasit, K., and Kostochka, A. (2003). Equitable colorings with constant number of colors. In ACM-SIAM Symposium on Discrete Algorithms (SODA), pages 458-459.
- Rafac, R., Schiffer, J., Hangst, J., Dubin, D., and Wales, D. (1991). Stable configurations of confined cold ionic systems. Proc. Ntl. Acad. Sci. USA, 88:483-486.
- Sarifuddin, M. and Missaoui, R. (2005). A new perceptually uniform color space with associated color similarity measure for content-based image and video retrieval. In ACM SIGIR Workshop on Multimedia Information Retrieval, pages 1-8.
- Saund, E., Ling, J., and Sarkar, P. (2009). Pixlabeler: User interface for pixel-level labeling of elements in document images. In International Conference on Document Analysis and Recognition (ICDAR), pages 646- 650.
- Shafait, F., Keysers, D., and Breuel, T. (2006). Pixelaccurate representation and evaluation of page segmentation in document images. In International Conference on Pattern Recognition (ICPR), pages 872- 875.
Paper Citation
in Harvard Style
Dalitz C., Bolten T. and Christen O. (2013). Color Visualization of 2D Segmentations . In Proceedings of the International Conference on Computer Graphics Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: IVAPP, (VISIGRAPP 2013) ISBN 978-989-8565-46-4, pages 567-572. DOI: 10.5220/0004184905670572
in Bibtex Style
@conference{ivapp13,
author={Christoph Dalitz and Tobias Bolten and Oliver Christen},
title={Color Visualization of 2D Segmentations},
booktitle={Proceedings of the International Conference on Computer Graphics Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: IVAPP, (VISIGRAPP 2013)},
year={2013},
pages={567-572},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004184905670572},
isbn={978-989-8565-46-4},
}
in EndNote Style
TY - CONF
JO - Proceedings of the International Conference on Computer Graphics Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: IVAPP, (VISIGRAPP 2013)
TI - Color Visualization of 2D Segmentations
SN - 978-989-8565-46-4
AU - Dalitz C.
AU - Bolten T.
AU - Christen O.
PY - 2013
SP - 567
EP - 572
DO - 10.5220/0004184905670572