The most crucial step in the process of image processing is image segmentation. Though different image segmentation algorithms have been developed, yet each method has its own advantages and limitations. In this paper a novel approach for image segmentation has been proposed based on the concept of stability. The concept of stability in terms of modified Sylvester's formula applied in the context of positive definiteness, semi positive definiteness and negative definiteness to satisfy a region of convergence is applied for image segmentation. The proposed methodology is applied for images with distinct homogeneous regions. The segmentation precision is quantified and it is evident through visual inspection.

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Segmentation Stability Positive definite Semi definite Negative definite Region of Convergence