Human perception faithful curve reconstruction based on persistent homology and principal curve
Reconstructing curves that align with human visual perception from a noisy point cloud presents a significant challenge in the field of curve reconstruction. A specific problem involves reconstructing curves from a noisy point cloud sampled from multiple intersecting curves, ensuring that the recons...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-06-01
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| Series: | Graphical Models |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1524070325000141 |
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| author | Yu Chen Hongwei Lin Yifan Xing |
| author_facet | Yu Chen Hongwei Lin Yifan Xing |
| author_sort | Yu Chen |
| collection | DOAJ |
| description | Reconstructing curves that align with human visual perception from a noisy point cloud presents a significant challenge in the field of curve reconstruction. A specific problem involves reconstructing curves from a noisy point cloud sampled from multiple intersecting curves, ensuring that the reconstructed results align with the Gestalt principles and thus produce curves faithful to human perception. This task involves identifying all potential curves from a point cloud and reconstructing approximating curves, which is critical in applications such as trajectory reconstruction, path planning, and computer vision. In this study, we propose an automatic method that utilizes the topological understanding provided by persistent homology and the local principal curve method to separate and approximate the intersecting closed curves from point clouds, ultimately achieving successful human perception faithful curve reconstruction results using B-spline curves. This technique effectively addresses noisy data clouds and intersections, as demonstrated by experimental results. |
| format | Article |
| id | doaj-art-6fa2bba923a3430c85f6c3301a25b52f |
| institution | OA Journals |
| issn | 1524-0703 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Graphical Models |
| spelling | doaj-art-6fa2bba923a3430c85f6c3301a25b52f2025-08-20T02:07:35ZengElsevierGraphical Models1524-07032025-06-0113910126710.1016/j.gmod.2025.101267Human perception faithful curve reconstruction based on persistent homology and principal curveYu Chen0Hongwei Lin1Yifan Xing2School of Mathematics Science, Zhejiang University, Hangzhou, 310058, ChinaCorresponding author.; School of Mathematics Science, Zhejiang University, Hangzhou, 310058, ChinaSchool of Mathematics Science, Zhejiang University, Hangzhou, 310058, ChinaReconstructing curves that align with human visual perception from a noisy point cloud presents a significant challenge in the field of curve reconstruction. A specific problem involves reconstructing curves from a noisy point cloud sampled from multiple intersecting curves, ensuring that the reconstructed results align with the Gestalt principles and thus produce curves faithful to human perception. This task involves identifying all potential curves from a point cloud and reconstructing approximating curves, which is critical in applications such as trajectory reconstruction, path planning, and computer vision. In this study, we propose an automatic method that utilizes the topological understanding provided by persistent homology and the local principal curve method to separate and approximate the intersecting closed curves from point clouds, ultimately achieving successful human perception faithful curve reconstruction results using B-spline curves. This technique effectively addresses noisy data clouds and intersections, as demonstrated by experimental results.http://www.sciencedirect.com/science/article/pii/S1524070325000141Intersecting closed curvesCurve reconstructionPrincipal curvePersistent homology |
| spellingShingle | Yu Chen Hongwei Lin Yifan Xing Human perception faithful curve reconstruction based on persistent homology and principal curve Graphical Models Intersecting closed curves Curve reconstruction Principal curve Persistent homology |
| title | Human perception faithful curve reconstruction based on persistent homology and principal curve |
| title_full | Human perception faithful curve reconstruction based on persistent homology and principal curve |
| title_fullStr | Human perception faithful curve reconstruction based on persistent homology and principal curve |
| title_full_unstemmed | Human perception faithful curve reconstruction based on persistent homology and principal curve |
| title_short | Human perception faithful curve reconstruction based on persistent homology and principal curve |
| title_sort | human perception faithful curve reconstruction based on persistent homology and principal curve |
| topic | Intersecting closed curves Curve reconstruction Principal curve Persistent homology |
| url | http://www.sciencedirect.com/science/article/pii/S1524070325000141 |
| work_keys_str_mv | AT yuchen humanperceptionfaithfulcurvereconstructionbasedonpersistenthomologyandprincipalcurve AT hongweilin humanperceptionfaithfulcurvereconstructionbasedonpersistenthomologyandprincipalcurve AT yifanxing humanperceptionfaithfulcurvereconstructionbasedonpersistenthomologyandprincipalcurve |