Variational Image Binarization and its Multi-Scale Realizations

  • Authors:
  • Chong Sze Tong;Yongping Zhang;Nanning Zheng

  • Affiliations:
  • Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong;Aff2 Aff3 Aff5;The Institute of Artificial Intelligence and Robotics, Xi'an Jiaotong University, Xi'an, China 710049

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 2005

Quantified Score

Hi-index 0.00

Visualization

Abstract

A variational approach for image binarization is discussed in this paper. The approach is based on the interpolation of surface. This interpolation is computed using edge points as interpolating points and minimizing an energy functional which interpolates a smooth threshold surface. A globally convergent Sequential Relaxation Algorithm (SRA) is proposed for solving the optimization problem. Moreover, our algorithm is also formulated in a multi-scale framework. The performance of our method is demonstrated on a variety of real and synthetic images and compared with traditional techniques. Examples show that our method gives promising results.