Abstract
When magnifying a bitmapped image, we want to increase the number of pixels it covers, allowing for finer details in the image, which are not visible in the original image. Simple interpolation techniques are not suitable because they introduce jagged edges, also called “jaggies”.
Earlier we proposed the “mmint” magnification method (for integer scaling factors), which avoids jaggies. It is based on mathematical morphology. The algorithm detects jaggies in magnified binary images (using pixel replication) and removes them, making the edges smoother. This is done by replacing the value of specific pixels.
In this paper, we extend the binary mmint to greyscale images. The pixels are locally binarized so that the same morphological techniques can be applied as for mmint. We take care of the more difficult replacement of pixel values, because several grey values can be part of a jaggy. We then discuss the visual results of the new greyscale method.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Lehmann, T., Gönner, C., Spitzer, K.: Survey: Interpolations Methods In Medical Image Processing. IEEE Transactions on Medical Imaging 18, 1049–1075 (1999)
Allebach, J., Wong, P.: Edge-directed interpolation. In: Proceedings of the IEEE International Conference on Image Processing ICIP 1996, Lausanne, Switzerland, vol. 3, pp. 707–710 (1996)
Li, X., Orchard, M.: New Edge-Directed Interpolation. IEEE Transactions on Image Processing 10, 1521–1527 (2001)
Muresan, D., Parks, T.: Adaptively quadratic (AQua) image interpolation. IEEE Transactions on Image Processing 13, 690–698 (2004)
Tschumperlé, D.: PDE’s Based Regularization of Multivalued Images and Applications. PhD thesis, Université de Nice — Sophia Antipolis, Nice, France (2002)
Morse, B., Schwartzwald, D.: Isophote-Based Interpolation. In: Proceedings of the IEEE International Conference on Image Processing ICIP 1998, Chicago, Illinois, USA, pp. 227–231 (1998)
Luong, H., De Smet, P., Philips, W.: Image Interpolation using Constrained Adaptive Contrast Enhancement Techniques. In: Proceedings of the IEEE International Conference on Image Processing ICIP 2005, Genova, Italy, pp. 998–1001 (2005)
Albiol, A., Serra, J.: Morphological Image Enlargements. Journal of Visual Communication and Image Representation 8, 367–383 (1997)
Honda, H., Haseyama, M., Kitajima, H.: Fractal Interpolation for Natural Images. In: Proceedings of the IEEE International Conference on Image Processing ICIP 1999, Kobe, Japan, vol. 3, pp. 657–661 (1999)
Stepin, M.: hq3x Magnification Filter (2003), http://www.hiend3d.com/hq3x.html
Freeman, W., Jones, T., Pasztor, E.: Example-Based Super-Resolution. IEEE Computer Graphics and Applications 22, 56–65 (2002)
Ledda, A., Luong, H., Philips, W., De Witte, V., Kerre, E.: Image Interpolation using Mathematical Morphology. In: Proceedings of 2nd IEEE International Conference on Document Image Analysis for Libraries (DIAL 2006), Lyon, France, pp. 358–367 (2006)
Serra, J.: Image Analysis and Mathematical Morphology, vol. 1. Academic Press, New York (1982)
Soille, P.: Morphological Image Analysis: Principles and Applications, 2nd edn. Springer, Heidelberg (2003)
Haralick, R., Shapiro, L.: Computer and Robot Vision, vol. 1. Addison-Wesley, Reading (1992)
Ronse, C.: A Lattice-Theoretical Morphological View on Template Extraction in Images. Journal of Visual Communication and Image Representation 7, 273–295 (1996)
Ledda, A., Philips, W.: Majority Ordering for Colour Mathematical Morphology. In: Proceedings of the XIIIth European Signal Processing Conference, Antalya, Turkey (2005)
Ledda, A., Philips, W.: Majority Ordering and the Morphological Pattern Spectrum. In: Blanc-Talon, J., Philips, W., Popescu, D.C., Scheunders, P. (eds.) ACIVS 2005. LNCS, vol. 3708, pp. 356–363. Springer, Heidelberg (2005)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ledda, A., Luong, H.Q., Philips, W., De Witte, V., Kerre, E.E. (2006). Greyscale Image Interpolation Using Mathematical Morphology. In: Blanc-Talon, J., Philips, W., Popescu, D., Scheunders, P. (eds) Advanced Concepts for Intelligent Vision Systems. ACIVS 2006. Lecture Notes in Computer Science, vol 4179. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11864349_8
Download citation
DOI: https://doi.org/10.1007/11864349_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-44630-9
Online ISBN: 978-3-540-44632-3
eBook Packages: Computer ScienceComputer Science (R0)