Topology-preserving contourwise shape fusion
Abstract The preservation of morphological features, such as protrusions and concavities, and of the topology of input shapes is important when establishing reference data for benchmarking segmentation algorithms or when constructing a mean or median shape. We present a contourwise topology-preservi...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-03-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-94977-0 |
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| author | Aleksandra Melnikova Martin Maška Petr Matula |
| author_facet | Aleksandra Melnikova Martin Maška Petr Matula |
| author_sort | Aleksandra Melnikova |
| collection | DOAJ |
| description | Abstract The preservation of morphological features, such as protrusions and concavities, and of the topology of input shapes is important when establishing reference data for benchmarking segmentation algorithms or when constructing a mean or median shape. We present a contourwise topology-preserving fusion method, called shape-aware topology-preserving means (SATM), for merging complex simply connected shapes. The method is based on key point matching and piecewise contour averaging. Unlike existing pixelwise and contourwise fusion methods, SATM preserves topology and does not smooth morphological features. We also present a detailed comparison of SATM with state-of-the-art fusion techniques for the purpose of benchmarking and median shape construction. Our experiments show that SATM outperforms these techniques in terms of shape-related measures that reflect shape complexity, manifesting itself as a reliable method for both establishing a consensus of segmentation annotations and for computing mean shapes. |
| format | Article |
| id | doaj-art-a765f5f249d1459cb85f59fad1b3fef3 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-a765f5f249d1459cb85f59fad1b3fef32025-08-20T03:40:47ZengNature PortfolioScientific Reports2045-23222025-03-0115111210.1038/s41598-025-94977-0Topology-preserving contourwise shape fusionAleksandra Melnikova0Martin Maška1Petr Matula2Masaryk UniversityMasaryk UniversityMasaryk UniversityAbstract The preservation of morphological features, such as protrusions and concavities, and of the topology of input shapes is important when establishing reference data for benchmarking segmentation algorithms or when constructing a mean or median shape. We present a contourwise topology-preserving fusion method, called shape-aware topology-preserving means (SATM), for merging complex simply connected shapes. The method is based on key point matching and piecewise contour averaging. Unlike existing pixelwise and contourwise fusion methods, SATM preserves topology and does not smooth morphological features. We also present a detailed comparison of SATM with state-of-the-art fusion techniques for the purpose of benchmarking and median shape construction. Our experiments show that SATM outperforms these techniques in terms of shape-related measures that reflect shape complexity, manifesting itself as a reliable method for both establishing a consensus of segmentation annotations and for computing mean shapes.https://doi.org/10.1038/s41598-025-94977-0Average shapeMean shapeMedian shapeShape analysisSegmentation mask fusion |
| spellingShingle | Aleksandra Melnikova Martin Maška Petr Matula Topology-preserving contourwise shape fusion Scientific Reports Average shape Mean shape Median shape Shape analysis Segmentation mask fusion |
| title | Topology-preserving contourwise shape fusion |
| title_full | Topology-preserving contourwise shape fusion |
| title_fullStr | Topology-preserving contourwise shape fusion |
| title_full_unstemmed | Topology-preserving contourwise shape fusion |
| title_short | Topology-preserving contourwise shape fusion |
| title_sort | topology preserving contourwise shape fusion |
| topic | Average shape Mean shape Median shape Shape analysis Segmentation mask fusion |
| url | https://doi.org/10.1038/s41598-025-94977-0 |
| work_keys_str_mv | AT aleksandramelnikova topologypreservingcontourwiseshapefusion AT martinmaska topologypreservingcontourwiseshapefusion AT petrmatula topologypreservingcontourwiseshapefusion |