ArticleIEEE transactions on pattern analysis and machine intelligence2015
Tree Topology Estimation.
Article in IEEE transactions on pattern analysis and machine intelligence, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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Who cites it
15 citing papers in PubMed.
- Genetic diversity and transmission dynamics of SARS-CoV-2 in East Africa.Scientific reports · 2026Article
- Universal Vessel Segmentation for Multi-Modality Retinal Images.IEEE transactions on image processing : a publication of the IEEE Signal Processing Society · 2025Article
- Semantic regularization of electromagnetic inverse problems.Nature communications · 2024Article
- Retinal Blood-Vessel Extraction Using Weighted Kernel Fuzzy C-Means Clustering and Dilation-Based Functions.Diagnostics (Basel, Switzerland) · 2023Article
- A Deep Learning System for Fully Automated Retinal Vessel Measurement in High Throughput Image Analysis.Frontiers in cardiovascular medicine · 2022Article
- TA-Net: Topology-Aware Network for Gland Segmentation.IEEE Winter Conference on Applications of Computer Vision. IEEE Winter Conference on Applications of Computer Vision · 2022Article
- Topology-Aware Segmentation Using Discrete Morse Theory.... International Conference on Learning Representations · 2021Article
- VTG-Net: A CNN Based Vessel Topology Graph Network for Retinal Artery/Vein Classification.Frontiers in medicine · 2021Article
- Artificial Intelligence Algorithms for Analysis of Geographic Atrophy: A Review and Evaluation.Translational vision science & technology · 2020Review
- Estimation of Gestational Age via Image Analysis of Anterior Lens Capsule Vascularity in Preterm Infants: A Pilot Study.Frontiers in pediatrics · 2019Article
- Using Retinal Imaging to Study Dementia.Journal of visualized experiments : JoVE · 2017Article
- Retrieving challenging vessel connections in retinal images by line co-occurrence statistics.Biological cybernetics · 2017Article
- Retinal Artery-Vein Classification via Topology Estimation.IEEE transactions on medical imaging · 2015Article
- One-shot Retinal Artery and Vein Segmentation via Cross-modality Pretraining.Ophthalmology scienceArticle
- A Comprehensive Study of Retinal Vessel Classification Methods in Fundus Images.Journal of medical signals and sensorsReview
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
Tree-like structures are fundamental in nature, and it is often useful to reconstruct the topology of a tree - what connects to what - from a two-dimensional image of it. However, the projected branches often cross in the image: the tree projects to a planar graph, and the inverse problem of reconstructing the topology of the tree from that of the graph is ill-posed. We regularize this problem with a generative, parametric tree-growth model. Under this model, reconstruction is possible in linear time if one knows the direction of each edge in the graph - which edge endpoint is closer to the root of the tree - but becomes NP-hard if the directions are not known. For the latter case, we present a heuristic search algorithm to estimate the most likely topology of a rooted, three-dimensional tree from a single two-dimensional image. Experimental results on retinal vessel, plant root, and synthetic tree data sets show that our methodology is both accurate and efficient.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.