Splitting and merging for active contours: plug-and-play

Journal article

This study tackles the challenge of splitting and merging in parametric active contours or snakes. The proposed method comprises three stages: (1) fully 4-connected interpolation, (2) snake splitting, and (3) snakes merging. For this purpose, first, the coordinates of snake points are separated into two corrupted 1D signals, with missing X/Y samples in the signals representing missing snakes’ coordinates. These missing X/Y samples are estimated using a constrained Tikhonov regularisation model, ensuring fully 4-connected snakes. Next, crossing points are identified by plotting snake points onto a raster matrix, detecting overlaps where multiple snake points occupy the same raster cell. Finally, snakes are split or merged by extracting snake points between crossing snake points that form a loop using a heuristic approach. Experimental results on the boundary detection of enamel in Micro-CT images and coronary arteries’ lumen in CT images demonstrate the proposed method’s ability to handle contour splitting and merging effectively.

Authors: Lashgari, M; Banerjee, A; Rabbani, H

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: MDPI
• Journal: Mathematics
• Volume: 13
• Issue: 6
• Article number: 991
• Publication date: 2025-03-18
• Acceptance date: 2025-03-10
• DOI: 10.3390/math13060991
• EISSN: 2227-7390
• Language: English
• Keywords: active contour; merging; regularisation; snake; splitting; Tikhonov regularisation