Simultaneous perimeter measurement for multiple planar objects

A novel scheme to measure the true boundary perimeters of multiple planar objects is proposed. This scheme is suitable for the simultaneous and accurate measurement of multiple objects' boundary perimeters with different shape. A geodesic active contour is applied and this scheme consists of three steps. First, the active contour converges to the object's contour edge from an initial position via the iteration of the level set functional ϕ. Second, for the convergent active contour, the sub-pixel edge detection and the centroid measurement are applied to obtain every object's edge and centroid coordinate simultaneously. Finally, a centroid-self-calibration technology is applied, which measures the pixel's size equivalence with the computed centroid and a dual-frequency laser to measure every object's true boundary perimeter. Experiments indicate that this scheme's measurement repetition error decreases to ±0.4% and that its single measurement error decreases to ±0.2%. Compared to conventional perimeter measurement schemes, this scheme is highly efficient (i.e., simultaneous measurement of multiple objects' boundary perimeters) and highly accurate.