Color Image Segmentation for Objects of Interest with Modified Geodesic Active Contour Method |
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Authors: | Ling Pi Jinsong Fan Chaomin Shen |
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Affiliation: | (1) Department of Mathematics, Shanghai Jiao Tong University, Shanghai, China;(2) Department of Mathematics, East China Normal University, Shanghai, China;(3) School of Mathematics and Information Science, Wenzhou University, Zhejiang, China;(4) Joint Laboratory for Imaging Science & Technology; Department of Computer Science, East China Normal University, Shanghai, China |
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Abstract: | In this paper, we propose a novel variational method for color image segmentation using modified geodesic active contour method.
Our goal is to detect Object(s) of Interest (OOI) from a given color image, regardless of other objects. The main novelty
of our method is that we modify the stopping function in the functional of usual geodesic active contour method so that the
new stopping function is coupled by a discrimination function of OOI. By minimizing the functional, the OOI is segmented.
Firstly, we study the pixel properties of the OOI by sample pixels visually chosen from OOI. From these sample pixels, by
the principal component analysis and interval estimation, the discrimination function of whether a pixel is in the OOI is
obtained probabilistically. Then we propose the energy functional for the segmentation of OOI with new stopping function.
Unlike usual stopping functions defined by the image gradient, our improved stopping function depends on not only the image
gradient but also the discrimination function derived from the color information of OOI. As a result, better than usual active
contour methods which detect all objects in the image, our modified active contour method can detect OOI but without unwanted
objects. Experiments are conducted in both synthetic and natural images. The result shows that our algorithm is very efficient
for detecting OOI even the background is complicated.
Ling Pi received her PhD from the Department of Mathematics, East China Normal University in 2006. She is currently a lecturer in
the Department of Mathematics, Shanghai Jiao Tong University. Her work involves the application of geometric and analytic
methods to problems in image processing.
Jinsong Fan received his MSc degree in mathematics from East China Normal University, Shanghai, China in 1996. Currently, he is a lecturer
in the School of Mathematics and Information Science at Wenzhou University. His research interests include image processing
and pattern recognition.
Chaomin Shen received the MSc degree in Mathematics from the National University of Singapore (NUS) in 1998. He worked in the Centre for
Remote Imaging, Sensing and Processing (CRISP), NUS as an associate scientist during 1998 to 2004. Currently he is a lecturer
in Joint Laboratory for Imaging Science & Technology and Department of Computer Science, East China Normal University. His
research interests include remote sensing applications and variational methods in image processing. |
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Keywords: | color image segmentation object(s) of interest discrimination function geodesic active contour principal component analysis interval estimation |
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