Abstract
We propose a superresolution method for gray-level images. The method is based on resolution conversion of discrete terrains in a space by regarding gray-level images as discrete terrains. The deformation process using a discrete diffusion enables us to estimate the smooth boundary surface from a low-resolution data of discrete terrain. Furthermore, the resampling process of the estimated smooth boundary surface produces a high-resolution data of discrete terrain.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Lu, F., Milios, E.E.: Optimal spline fitting to plane shape. Signal Processing 37, 129–140 (1994)
Wahba, G.: Surface fitting with scattered noisy data on Euclidean D-space and on the sphere. Rocky Mountain Journal of Mathematics 14, 281–299 (1984)
Wahba, G., Johnson, D.R.: Partial spline models for the inclusion of tropopause and frontal boundary information in otherwise smooth two- and three-dimensional objective analysis. J. Atmospheric and Oceanic Technology 3, 714–725 (1986)
Chen, M.H., Chin, R.T.: Partial smoothing spline for noisy+boundary with corners. IEEE Trans. on PAMI 15, 1208–1216 (1993)
Paglieroni, D., Jain, A.K.: Control point transformation for shape representation and measurement. Computer Graphics and Image Processing 42, 87–111 (1988)
Medioni, G., Yasumoto, Y.: Corner detection and curve representation using cubic B-spline. Computer Graphics and Image Processing 39, 267–278 (1987)
Terzopoulos, D.: The computation of visible-surface representations. IEEE Trans. on PAMI 10, 417–438 (1988)
Langridge, D.J.: Curve encoding and the detection of discontinuities. Computer Graphics and Image Processing 20, 58–71 (1982)
Daubechies, I., Guskov, I., Sweldens, W.: Regularity of irregular subdivision. Constructive Approximation 15, 381–426 (1999)
Daubechies, I., Guskov, I., Schröder, P., Sweldens, W.: Wavelets on irregular point sets. Phil. Trans. R. Soc. Lond. A (to be published)
Imiya, A., Ito, A., Kenmochi, Y.: Inverse quantization of digital binary images for resolution conversion. In: Kerckhove, M. (ed.) Scale-Space 2001. LNCS, vol. 2106, pp. 426–434. Springer, Heidelberg (2001)
Torii, A., Ichinose, T., Wakazono, Y., Imiya, A.: Inverse quantization for resolution conversion. In: Asano, T., Klette, R., Ronse, C. (eds.) Geometry, Morphology, and Computational Imaging. LNCS, vol. 2616, pp. 282–300. Springer, Heidelberg (2003)
Geographical Survey Institute, Japan. Digital Map 50 Grid CD-ROM, NIPPON-II
Caselles, V., Morel, J.M., Sbert, C.: An axiomatic approch to image interpolation. IEEE Trans. Image Processing 17, 376–386 (1998)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Torii, A., Wakazono, Y., Murakami, H., Imiya, A. (2003). PDE Based Method for Superresolution of Gray-Level Images. In: Petkov, N., Westenberg, M.A. (eds) Computer Analysis of Images and Patterns. CAIP 2003. Lecture Notes in Computer Science, vol 2756. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45179-2_86
Download citation
DOI: https://doi.org/10.1007/978-3-540-45179-2_86
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40730-0
Online ISBN: 978-3-540-45179-2
eBook Packages: Springer Book Archive