Science China Information Sciences

, Volume 56, Issue 11, pp 1–12

Boundary-representable partition of unity for image magnification


    • School of EngineeringThe University of Tokyo
  • Yutaka Ohtake
    • School of EngineeringThe University of Tokyo
  • Hideo Yokota
    • Bio-Research Infrastructure Construction TeamASI, RIKEN
  • Hiromasa Suzuki
    • RCASTThe University of Tokyo
Research Paper

DOI: 10.1007/s11432-013-5020-5

Cite this article as:
Nagai, Y., Ohtake, Y., Yokota, H. et al. Sci. China Inf. Sci. (2013) 56: 1. doi:10.1007/s11432-013-5020-5


This paper proposes a simple yet effective algorithm to magnify 2D/3D images with preserving discontinuities of intensity. Our algorithm is based on the partition of unity (PU) approximation, which offers many advantages such as smooth representation, noise-robustness, and precise representation. Unfortunately, PU encounters difficulties when scaling images and maintaining boundaries within images owing to the nature of its approximation. To overcome this problem, we propose an approximation that preserves discontinuities. This is realized by dividing the local spherical support of PU into two parts along a locally detected discontinuity and by individually approximating intensities on each side of the discontinuity. This algorithm is suitable for magnifying a variety of images, including scanned documents, pictures, and CT-scanned images. To demonstrate the effectiveness of the proposed method, we show some experimental results for 2D/3D images.


image approximationpartition of unitypiecewise smooth functionvolume datamagnification

Copyright information

© Science China Press and Springer-Verlag Berlin Heidelberg 2013