Shape Extraction Via Heat Flow Analogy

In this paper, we introduce a novel evolution-based segmentation algorithm by using the heat flow analogy, to gain practical advantage. The proposed algorithm consists of two parts. In the first part, we represent a particular heat conduction problem in the image domain to roughly segment the region of interest. Then we use geometric heat flow to complete the segmentation, by smoothing extracted boundaries and removing possible noise inside the prior segmented region. The proposed algorithm is compared with active contour models and is tested on synthetic and medical images. Experimental results indicate that our approach works well in noisy conditions without pre-processing. It can detect multiple objects simultaneously. It is also computationally more efficient and easier to control and implement in comparison to active contour models.

[1]  J. Sethian,et al.  A Fast Level Set Method for Propagating Interfaces , 1995 .

[2]  Jitendra Malik,et al.  Scale-Space and Edge Detection Using Anisotropic Diffusion , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[3]  Max A. Viergever,et al.  Efficient and reliable schemes for nonlinear diffusion filtering , 1998, IEEE Trans. Image Process..

[4]  Tony F. Chan,et al.  Active contours without edges , 2001, IEEE Trans. Image Process..

[5]  Yianni Attikiouzel,et al.  Model-based region growing segmentation of textured images , 1990, International Conference on Acoustics, Speech, and Signal Processing.

[6]  Baba C. Vemuri,et al.  Shape Modeling with Front Propagation: A Level Set Approach , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[7]  Mark S. Nixon,et al.  Low Level Moving-Feature Extraction Via Heat Flow Analogy , 2006, ISVC.

[8]  Kaleem Siddiqi,et al.  Geometric heat equation and nonlinear diffusion of shapes and images , 1994, 1994 Proceedings of IEEE Conference on Computer Vision and Pattern Recognition.

[9]  Junaed Sattar Snakes , Shapes and Gradient Vector Flow , 2022 .

[10]  Guillermo Sapiro,et al.  Geodesic Active Contours , 1995, International Journal of Computer Vision.

[11]  Anthony J. Yezzi,et al.  Anti-geometric diffusion for adaptive thresholding and fast segmentation , 2003, IEEE Trans. Image Process..

[12]  D. Mumford,et al.  Optimal approximations by piecewise smooth functions and associated variational problems , 1989 .

[13]  V. Caselles,et al.  A geometric model for active contours in image processing , 1993 .

[14]  Demetri Terzopoulos,et al.  Snakes: Active contour models , 2004, International Journal of Computer Vision.

[15]  Scott T. Acton,et al.  Anisotropic diffusion pyramids for image segmentation , 1994, Proceedings of 1st International Conference on Image Processing.

[16]  Rolf Adams,et al.  Seeded Region Growing , 1994, IEEE Trans. Pattern Anal. Mach. Intell..

[17]  James A. Sethian,et al.  Level Set Methods and Fast Marching Methods , 1999 .