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Topology preserving

WebAug 18, 2024 · The thought of topology preserving projection stems from Self-Organizing Map (SOM) [12], which is a neural network model based on unsupervised competitive … WebMar 10, 2024 · The first step ensures preserving the cell-to-cell dependence structure within the sub-sample of genes, while the second step puts all the cells into an encompassing …

Topology Preservation in Self-Organizing Feature Maps: General ...

Web2 days ago · The meninges, located between the skull and brain, are composed of three membrane layers: the pia, the arachnoid, and the dura. Reconstruction of these layers can aid in studying volume differences between patients with neurodegenerative diseases and normal aging subjects. In this work, we use convolutional neural networks (CNNs) to … WebWe then pose the problem of finding the closest topology preserving displacement field in terms of its complete set of gradients, which we later solve using a cyclic projections framework. Adaptive smoothing of a displacement field is then formulated as an extension of topology preservation, via constraints imposed on the Jacobian of the ... inclusionary vs exclusionary https://balbusse.com

Topology preserving thinning of cell complexes - PubMed

WebSep 1, 2010 · As shown in Ref. [21], local topology preserving was used to match two point sets. For each point s i ∈ S, S is a point set with N points, other points within the local region of s i constitute ... WebJun 6, 2024 · (Aside: I would not call it "topology preserving", because "topology" is a well-known structure, which is preserved precisely by homeomorphisms. A better name would be "distance-order-preserving" or "distance-monotone". See Monotone Maps, Sphericity and Bounded Second Eigenvalue by Yonatan Bilu and Nati Linial.) WebThe proposed topology-preserving loss function is differentiable and can be incorporated into end-to-end training of a deep neural network. Our method achieves much better performance on the Betti number error, which directly accounts for the topological correctness. It also performs superior on other topology-relevant metrics, e.g., the ... inclusionary vs inclusive

(PDF) Topology Preserving Edge Contraction - ResearchGate

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Topology preserving

Topology preservation in self-organizing feature maps: …

WebJan 6, 2024 · Topological distortion seriously affects spatial cognition. To solve this problem caused by the integration of vector features in discrete global grid systems (DGGs), a topology-preserving gridding method for vector features is proposed. The method proposed determines the topological distortion according to the relationship between grid … WebSep 18, 2024 · Reconstructing Portal Vein and Hepatic Vein trees from contrast enhanced abdominal CT scans is a prerequisite for preoperative liver surgery simulation. Existing …

Topology preserving

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WebIn particular, we design a continuous-valued loss function that enforces a segmentation to have the same topology as the ground truth, i.e., having the same Betti number. The … WebNov 7, 1999 · Edge contraction For an edge ab of a simplicial complex K, an edge contraction is a simplicial map φ : K → L induced by the vertex map h ab : V (K) → V (L) mapping h (b) = a and everywhere ...

WebAug 2, 2024 · Author summary Retinotopic maps of human observers derived from state-of-the-art methods are often not topological because of the low signal-to-noise ratio and spatial resolution of fMRI. The proposed topological smoothing method can generate topology-preserving and smooth retinotopic maps in V1, V2, and V3 simultaneously from … WebJun 12, 2024 · The proposed topology-preserving loss function is differentiable and we incorporate it into end-to-end training of a deep neural network. Our method achieves much better performance on the Betti number error, which directly accounts for the topological correctness. It also performs superiorly on other topology-relevant metrics, e.g., the ...

WebJan 1, 1994 · The topology preserving property can be employed in a variety of information processing tasks, ranging from classification over robotics to data reduction and knowledge processing. To each neural ... WebAbstract. The neighborhood preservation of self-organizing feature maps like the Kohonen map is an important property which is exploited in many applications. However, if a …

WebJun 20, 2024 · For multi-component building models, topological dependence is mainly represented by intersecting or attaching among components. However, there are also some special conditions, such as visual attaching. As shown in Figure 10, both components are visually attached. However, there is a small gap between them.

WebFeb 27, 2024 · A {\it topology-preserving segmentation network (TPSN)} is trained to give an accurate segmentation result of an input image that preserves the prescribed topology. TPSN is a deformation-based model that yields a deformation map through a UNet, which takes the medical image and a template mask as inputs. inclusionary wallWebApr 24, 2024 · Topology-Preserving 3D Image Segmentation Based on Hyperelastic Regularization 1 Introduction. The goal of image segmentation is to partition a given … inclusionary vs exclusionary zoningWebIdentifying, retaining and preserving existing topography. Documenting topographic variation prior to project work, including shape, slope, elevation, aspect, and contour. For … inclusionary zoning alabamaWebApr 13, 2024 · Authors: Yang, Jiaqi; Hu, Xiaoling; Chen, Chao; Tsai, Chialing Award ID(s): 1855760 Publication Date: 2024-04-13 NSF-PAR ID: 10302909 Journal Name: IEEE International Symposium on Biomedical Imaging (ISBI) inclusionary zone housingWebDec 19, 2024 · Knowledge of the road network topology is crucial for autonomous planning and navigation. Yet, recovering such topology from a single image has only been explored … inclusionary zoning adalahWebJun 23, 2024 · Further, by searching the shortest path connecting two shapes we realize the registration with topology preserving. Finally, the numerical results on the Kimia shape dataset show that our proposed method achieves a better performance of registration than the conventional method. That is, the atlas-based strategy is valid for shape registration ... inclusionary zoning aphgWebAug 18, 2024 · The thought of topology preserving projection stems from Self-Organizing Map (SOM) [12], which is a neural network model based on unsupervised competitive learning. It can be used for visualization of multidimensional data by displaying data points in a low-dimensional lattice [13]. The topological relationship in the data is maintained by ... inclusionary zoning arizona