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Several reports in the biological literature have indicated that when a living cell divides, the two daughter cells have
a tendency to be mirror images of each other in terms of their overall cell shape. This phenomenon would be consistent
with inheritance of spatial organization from mother cell to daughters. However the published data rely on a small
number of examples that were visually chosen, raising potential concerns about inadvertent selection bias. We propose
to revisit this issue using automated quantitative shape comparison methods which would have no contribution from the
observer and which would allow statistical testing of similarity in large numbers of cells. In this report we describe a
first order approach to the problem using rigid curve matching. Using test images, we compare a pointwise
correspondence based distance metric with a chamfer matching strategy and find that the latter provides better
correspondence and smaller distances between aligned curves, especially when we allow nonrigid deformation of the
outlines in addition to rotation.
Monica Guo andWallace F. Marshall
"Testing for nonrandom shape similarity between sister cells using automated shape comparison", Proc. SPIE 7184, Three-Dimensional and Multidimensional Microscopy: Image Acquisition and Processing XVI, 71840X (3 March 2009); https://doi.org/10.1117/12.812418
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Monica Guo, Wallace F. Marshall, "Testing for nonrandom shape similarity between sister cells using automated shape comparison," Proc. SPIE 7184, Three-Dimensional and Multidimensional Microscopy: Image Acquisition and Processing XVI, 71840X (3 March 2009); https://doi.org/10.1117/12.812418