Fast Sphericity and Roundness approximation in 2D and 3D using Local Thickness
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908932181590016 |
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| author | Pieta, Pawel Tomasz Rasumssen, Peter Winkel Dahl, Anders Bjorholm Christensen, Anders Nymark |
| author_facet | Pieta, Pawel Tomasz Rasumssen, Peter Winkel Dahl, Anders Bjorholm Christensen, Anders Nymark |
| contents | Sphericity and roundness are fundamental measures used for assessing object uniformity in 2D and 3D images. However, using their strict definition makes computation costly. As both 2D and 3D microscopy imaging datasets grow larger, there is an increased demand for efficient algorithms that can quantify multiple objects in large volumes. We propose a novel approach for extracting sphericity and roundness based on the output of a local thickness algorithm. For sphericity, we simplify the surface area computation by modeling objects as spheroids/ellipses of varying lengths and widths of mean local thickness. For roundness, we avoid a complex corner curvature determination process by approximating it with local thickness values on the contour/surface of the object. The resulting methods provide an accurate representation of the exact measures while being significantly faster than their existing implementations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_05808 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fast Sphericity and Roundness approximation in 2D and 3D using Local Thickness Pieta, Pawel Tomasz Rasumssen, Peter Winkel Dahl, Anders Bjorholm Christensen, Anders Nymark Computer Vision and Pattern Recognition Sphericity and roundness are fundamental measures used for assessing object uniformity in 2D and 3D images. However, using their strict definition makes computation costly. As both 2D and 3D microscopy imaging datasets grow larger, there is an increased demand for efficient algorithms that can quantify multiple objects in large volumes. We propose a novel approach for extracting sphericity and roundness based on the output of a local thickness algorithm. For sphericity, we simplify the surface area computation by modeling objects as spheroids/ellipses of varying lengths and widths of mean local thickness. For roundness, we avoid a complex corner curvature determination process by approximating it with local thickness values on the contour/surface of the object. The resulting methods provide an accurate representation of the exact measures while being significantly faster than their existing implementations. |
| title | Fast Sphericity and Roundness approximation in 2D and 3D using Local Thickness |
| topic | Computer Vision and Pattern Recognition |
| url | https://arxiv.org/abs/2504.05808 |