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1

Stella, Orozco, Formella Arno, A. Cadavid Carlos, Ruiz Salguero Oscar, and Osorno Maria. "Geometry and Topology-based Segmentation of 2-Manifold Triangular Meshes in R3." British Journal of Applied Science & Technology 21, no. 1 (2017): 1–14. https://doi.org/10.9734/BJAST/2017/32827.

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This manuscript reports a geometrical and a topological methods to segment a closed triangular 2-manifold mesh M R3. The mesh M does not self-intersect) and has no border (i.e. watertight. Geometrical and topological segmentation methods require a Boundary Representation (BRep) fromM. Building the BRep forM uniforms the triangle orientations, and makes explicit triangle and edge - counter edge adjacency. In the context of Reverse Engineering, the sub-meshes produced by the segmentation are subsequently used to fit parametric surfaces, which are in turn trimmed by the sub-mesh boundaries (formi
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Sainz-DeMena, Diego, José Manuel García-Aznar, María Ángeles Pérez, and Carlos Borau. "Im2mesh: A Python Library to Reconstruct 3D Meshes from Scattered Data and 2D Segmentations. Application to Patient-Specific Neuroblastoma Tumour Image Sequences." Applied Sciences 12, no. 22 (2022): 11557. http://dx.doi.org/10.3390/app122211557.

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The future of personalised medicine lies in the development of increasingly sophisticated digital twins, where the patient-specific data is fed into predictive computational models that support the decisions of clinicians on the best therapies or course actions to treat the patient’s afflictions. The development of these personalised models from image data requires a segmentation of the geometry of interest, an estimation of intermediate or missing slices, a reconstruction of the surface and generation of a volumetric mesh and the mapping of the relevant data into the reconstructed three-dimen
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Guha, Sumanta. "3D Mesh Segmentation using Local Geometry." International Journal of Computer Graphics & Animation 5, no. 2 (2015): 37–45. http://dx.doi.org/10.5121/ijcga.2015.5204.

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Xu, Wenqiang, Yongnian Zeng, and Changlin Yin. "3D City Reconstruction: A Novel Method for Semantic Segmentation and Building Monomer Construction Using Oblique Photography." Applied Sciences 13, no. 15 (2023): 8795. http://dx.doi.org/10.3390/app13158795.

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Existing 3D city reconstruction via oblique photography can only produce surface models, lacking semantic information about the urban environment and the ability to incorporate all individual buildings. Here, we propose a method for the semantic segmentation of 3D model data from oblique photography and for building monomer construction and implementation. Mesh data were converted into and mapped as point sets clustered to form superpoint sets via rough geometric segmentation, facilitating subsequent feature extractions. In the local neighborhood computation of semantic segmentation, a neighbo
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Zhang, C., and B. Mao. "3D BUILDING MODELS SEGMENTATION BASED ON K-MEANS++ CLUSTER ANALYSIS." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLII-2/W2 (October 5, 2016): 57–61. http://dx.doi.org/10.5194/isprs-archives-xlii-2-w2-57-2016.

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3D mesh model segmentation is drawing increasing attentions from digital geometry processing field in recent years. The original 3D mesh model need to be divided into separate meaningful parts or surface patches based on certain standards to support reconstruction, compressing, texture mapping, model retrieval and etc. Therefore, segmentation is a key problem for 3D mesh model segmentation. In this paper, we propose a method to segment Collada (a type of mesh model) 3D building models into meaningful parts using cluster analysis. Common clustering methods segment 3D mesh models by K-means, who
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Sun, Xiaopeng, J. Pan, and Xiaopeng Wei. "3D mesh skeleton extraction using prominent segmentation." Computer Science and Information Systems 7, no. 1 (2010): 63–74. http://dx.doi.org/10.2298/csis1001063s.

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Skeleton of 3D mesh is a fundamental shape feature, and is useful for shape description and other many applications in 3D Digital Geometry Processing. This paper presents a novel skeleton extraction algorithm based on feature point and core extraction by the Multidimensional scaling (MDS) transformation. The algorithm first straights the folded prominent branch up, as well as the prominent shape feature points of mesh are computed, a meaningful segmentation is applied under the direction of feature points. The Node-ring of all segmented components is defined by discrete geodesic path on mesh s
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Grzeczkowicz, Grégoire, and Bruno Vallet. "Semantic Edge Collapse: A Mesh Edge Collapse Algorithm preserving per Face Semantic Information." International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLVIII-2/W8-2024 (December 14, 2024): 185–92. https://doi.org/10.5194/isprs-archives-xlviii-2-w8-2024-185-2024.

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Abstract. Recent advancements in 3D data acquisition and processing have enabled high-fidelity urban modeling. Yet, production of structured 3D models in standards like CityGML remain complex, resource-intensive, and difficult to automate. This paper introduces a low-cost alternative that we call “structured mesh model” designed to cover many applications of structured 3D models at a lower cost. It relies on integrating geometric simplification with segmentation alignment to produce a lightweight, unified mesh representation. Using an edge-collapse algorithm, our method combines geometry from
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Abderrahim, Zeineb, and Mohamed Salim Bouhlel. "Compression and Visualization Interactive of 3D Mesh." International Journal of Applied Mathematics and Informatics 15 (November 16, 2021): 85–92. http://dx.doi.org/10.46300/91014.2021.15.14.

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The combination of compression and visualization is mentioned as perspective, very few articles treat with this problem. Indeed, in this paper, we proposed a new approach to multiresolution visualization based on a combination of segmentation and multiresolution mesh compression. For this, we proposed a new segmentation method that benefits the organization of faces of the mesh followed by a progressive local compression of regions of mesh to ensure the refinement local of the three-dimensional object. Thus, the quantization precision is adapted to each vertex during the encoding /decoding pro
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Agathos, Alexander, Ioannis Pratikakis, Stavros Perantonis, Nikolaos Sapidis, and Philip Azariadis. "3D Mesh Segmentation Methodologies for CAD applications." Computer-Aided Design and Applications 4, no. 6 (2007): 827–41. http://dx.doi.org/10.1080/16864360.2007.10738515.

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Prakash, Sujata, and C. Ross Ethier. "Requirements for Mesh Resolution in 3D Computational Hemodynamics." Journal of Biomechanical Engineering 123, no. 2 (2000): 134–44. http://dx.doi.org/10.1115/1.1351807.

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Computational techniques are widely used for studying large artery hemodynamics. Current trends favor analyzing flow in more anatomically realistic arteries. A significant obstacle to such analyses is generation of computational meshes that accurately resolve both the complex geometry and the physiologically relevant flow features. Here we examine, for a single arterial geometry, how velocity and wall shear stress patterns depend on mesh characteristics. A well-validated Navier-Stokes solver was used to simulate flow in an anatomically realistic human right coronary artery (RCA) using unstruct
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Huang, Lingfeng, Jieyu Zhao, and Yu Chen. "MixFormer: A Self-Attentive Convolutional Network for 3D Mesh Object Recognition." Algorithms 16, no. 3 (2023): 171. http://dx.doi.org/10.3390/a16030171.

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3D mesh as a complex data structure can provide effective shape representation for 3D objects, but due to the irregularity and disorder of the mesh data, it is difficult for convolutional neural networks to be directly applied to 3D mesh data processing. At the same time, the extensive use of convolutional kernels and pooling layers focusing on local features can cause the loss of spatial information and dependencies of low-level features. In this paper, we propose a self-attentive convolutional network MixFormer applied to 3D mesh models. By defining 3D convolutional kernels and vector self-a
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Zi, Wenjie, Hao Chen, Jun Li, and Jiangjiang Wu. "MambaMeshSeg-Net: A Large-Scale Urban Mesh Semantic Segmentation Method Using a State Space Model with a Hybrid Scanning Strategy." Remote Sensing 17, no. 9 (2025): 1653. https://doi.org/10.3390/rs17091653.

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Semantic segmentation of urban meshes plays an increasingly crucial role in the analysis and understanding of 3D environments. Most existing large-scale urban mesh semantic segmentation methods focus on integrating multi-scale local features but struggle to model long-range dependencies across facets effectively. Furthermore, owing to high computational complexity or excessive pre-processing operations, these methods lack the capability for the efficient semantic segmentation of large-scale urban meshes. Inspired by Mamba, we propose MambaMeshSeg-Net, a novel 3D urban mesh semantic segmentatio
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Wang, Hao, Tong Lu, Oscar Kin-Chung Au, and Chiew-Lan Tai. "Spectral 3D mesh segmentation with a novel single segmentation field." Graphical Models 76, no. 5 (2014): 440–56. http://dx.doi.org/10.1016/j.gmod.2014.04.009.

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Wen, Mingyun, and Kyungeun Cho. "Depth Prior-Guided 3D Voxel Feature Fusion for 3D Semantic Estimation from Monocular Videos." Mathematics 12, no. 13 (2024): 2114. http://dx.doi.org/10.3390/math12132114.

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Existing 3D semantic scene reconstruction methods utilize the same set of features extracted from deep learning networks for both 3D semantic estimation and geometry reconstruction, ignoring the differing requirements of semantic segmentation and geometry construction tasks. Additionally, current methods allocate 2D image features to all voxels along camera rays during the back-projection process, without accounting for empty or occluded voxels. To address these issues, we propose separating the features for 3D semantic estimation from those for 3D mesh reconstruction. We use a pretrained visi
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15

Shragge, Jeffrey. "Solving the 3D acoustic wave equation on generalized structured meshes: A finite-difference time-domain approach." GEOPHYSICS 79, no. 6 (2014): T363—T378. http://dx.doi.org/10.1190/geo2014-0172.1.

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The key computational kernel of most advanced 3D seismic imaging and inversion algorithms used in exploration seismology involves calculating solutions of the 3D acoustic wave equation, most commonly with a finite-difference time-domain (FDTD) methodology. Although well suited for regularly sampled rectilinear computational domains, FDTD methods seemingly have limited applicability in scenarios involving irregular 3D domain boundary surfaces and mesh interiors best described by non-Cartesian geometry (e.g., surface topography). Using coordinate mapping relationships and differential geometry,
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16

Carlino, Michele Giuliano, Philippe Ricka, Minh Phan, et al. "Geometry description and mesh construction from medical imaging." ESAIM: Proceedings and Surveys 67 (2020): 161–77. http://dx.doi.org/10.1051/proc/202067010.

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We present a new method for defining and meshing patient-specific domains from medical images. Our approach is based on an atlas image segmentation technique, and relies on the modular registration algorithm of S. Bertoluzza et al. [25]. The mesh of the patient-specific domain is generated by deforming the corresponding mesh on an a priori segmented and meshed reference image (the atlas). Our method aims at automating the process at the interface of medical imaging and numerical simulation, thus reducing the computational cost in those situations where simulations have to be managed on numerou
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17

Neyestanaki, Mehrdad Kalantar, Georgiana Dunca, Pontus Jonsson, and Michel J. Cervantes. "A Comparison of Different Methods for Modelling Water Hammer Valve Closure with CFD." Water 15, no. 8 (2023): 1510. http://dx.doi.org/10.3390/w15081510.

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Water hammer is a transient phenomenon that occurs when a flowing fluid is rapidly decelerated, which can be harmful and damaging to a piping system. Three-dimensional computational fluid dynamics (CFD) with three-dimensional geometry is a common tool for studying water hammer, which is more accurate than numerical simulation with one-dimension approximation of the geometry. There are different methods with different accuracy and computational costs for valve closure modelling. This paper presents the result of water hammer 3D simulation with three main technics for modelling an axial valve cl
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18

Grzeczkowicz, G., and B. Vallet. "SEMANTIC SEGMENTATION OF URBAN TEXTURED MESHES THROUGH POINT SAMPLING." ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences V-2-2022 (May 17, 2022): 177–84. http://dx.doi.org/10.5194/isprs-annals-v-2-2022-177-2022.

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Abstract. Textured meshes are becoming an increasingly popular representation combining the 3D geometry and radiometry of real scenes. However, semantic segmentation algorithms for urban mesh have been little investigated and do not exploit all radiometric information. To address this problem, we adopt an approach consisting in sampling a point cloud from the textured mesh, then using a point cloud semantic segmentation algorithm on this cloud, and finally using the obtained semantic to segment the initial mesh. In this paper, we study the influence of different parameters such as the sampling
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Laupheimer, D., and N. Haala. "MULTI-MODAL SEMANTIC MESH SEGMENTATION IN URBAN SCENES." ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences V-2-2022 (May 17, 2022): 267–74. http://dx.doi.org/10.5194/isprs-annals-v-2-2022-267-2022.

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Abstract. The semantic segmentation of the huge amount of acquired 3D data has become an important task in recent years. Meshes have evolved into a standard representation next to Point Clouds (PCs) – not least because of their great visualization possibilities. Compared to PCs, meshes have commonly smaller memory footprints while jointly providing geometrical and high-resolution textural information. For this reason, we opt for semantic mesh segmentation, which is a widely overlooked topic in photogrammetry and remote sensing yet. In this work, we perform an extensive ablation study on multi-
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Haque, Ayaan, Hankyu Moon, Heng Hao, Sima Didari, Jae Oh Woo, and Patrick Bangert. "Unsupervised Contrastive Representation Learning for 3D Mesh Segmentation (Student Abstract)." Proceedings of the AAAI Conference on Artificial Intelligence 37, no. 13 (2023): 16222–23. http://dx.doi.org/10.1609/aaai.v37i13.26971.

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3D deep learning is a growing field of interest due to the vast amount of information stored in 3D formats. Triangular meshes are an efficient representation for irregular, non-uniform 3D objects. However, meshes are often challenging to annotate due to their high computational complexity. Therefore, it is desirable to train segmentation networks with limited-labeled data. Self-supervised learning (SSL), a form of unsupervised representation learning, is a growing alternative to fully-supervised learning which can decrease the burden of supervision for training. Specifically, contrastive learn
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Lanzara, Emanuela, Giancarlo Fatigati, Sabrina Guardascione, and Maria Teresa Rapicano. "VPL geometry processing for open multilevel and multiscalar databases." International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLVIII-2/W8-2024 (December 14, 2024): 273–80. https://doi.org/10.5194/isprs-archives-xlviii-2-w8-2024-273-2024.

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Abstract. This study investigates open-source VPL algorithms for storage, geolocalization and comparison of diagnostic multi-sensor data on 3D semi-automatic geometric database extracted from low-cost image-based models and shared on open web-based platform to support information, conservation/restoration and monitoring of multiscalar elements (e.g. artworks, architectural or urban objects).The information system consists of an interoperable parametric box/synoptic mesh/grid for semi-automatic definition and segmentation of 2D and 3D models of artworks, regardless of size, materials and digita
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Cao, Y., and M. Scaioni. "A 3D BUILDING INDOOR-OUTDOOR BENCHMARK FOR SEMANTIC SEGMENTATION." International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLVIII-1/W2-2023 (December 13, 2023): 147–53. http://dx.doi.org/10.5194/isprs-archives-xlviii-1-w2-2023-147-2023.

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Abstract. Both machine learning (ML) and deep learning (DL) algorithms require high-quality training samples as well as precise and thorough annotations in order to work effectively. The 3D building indoor-outdoor dataset (BIO dataset), which is a highly accurate, high level of detail, and high coverage dataset for 3D building point cloud and mesh semantic segmentation, is established as a canonical benchmark dataset. It contains 100 building models, in which building structural elements are annotated into 11 semantic categories. Each building in this dataset has an average of 75,587 triangula
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George, David, Xianghua Xie, and Gary KL Tam. "3D mesh segmentation via multi-branch 1D convolutional neural networks." Graphical Models 96 (March 2018): 1–10. http://dx.doi.org/10.1016/j.gmod.2018.01.001.

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Otoguro, Yuto, Hiroki Mochizuki, Kenji Takizawa, and Tayfun E. Tezduyar. "Space–Time Variational Multiscale Isogeometric Analysis of a tsunami-shelter vertical-axis wind turbine." Computational Mechanics 66, no. 6 (2020): 1443–60. http://dx.doi.org/10.1007/s00466-020-01910-5.

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AbstractWe present computational flow analysis of a vertical-axis wind turbine (VAWT) that has been proposed to also serve as a tsunami shelter. In addition to the three-blade rotor, the turbine has four support columns at the periphery. The columns support the turbine rotor and the shelter. Computational challenges encountered in flow analysis of wind turbines in general include accurate representation of the turbine geometry, multiscale unsteady flow, and moving-boundary flow associated with the rotor motion. The tsunami-shelter VAWT, because of its rather high geometric complexity, poses th
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Mukundan, Ramakrishnan. "Contour Based High Resolution 3D Mesh Construction Using HRCT and MRI Stacks." International Journal of Multimedia Data Engineering and Management 8, no. 4 (2017): 60–73. http://dx.doi.org/10.4018/ijmdem.2017100104.

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In this paper, we consider the problem of extracting shape contours from High Resolution Computed Tomography (HRCT) and Magnetic Resonance Imaging (MRI) stacks and using them to construct a three-dimensional mesh surface of the underlying geometry to a high level of detail. While many reconstruction algorithms adopt volumetric approaches and ray casting methods, we propose a novel algorithm for automatic segmentation of large volume sets, and a contour-based construction of a mesh representation that could be used in any rendering application or combined with larger meshes of anatomical parts.
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Kim, Sung-Chan. "Preprocessing Method of 3D Topographic Modeling for Wildland Fire Simulation." Fire Science and Engineering 36, no. 4 (2022): 14–19. http://dx.doi.org/10.7731/kifse.43aee5d9.

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This study was conducted to develop a preprocessing method that generates a computational geometry for a wildland fire simulation based on topographic data. The computational domain comprised an area of 2 km × 2 km with a height of 1.2 km, including the terrain geometry and atmosphere, in Palgongsan Natural Park near the Gatbawi district. BLENDER 2.92, an open-source 3D computer graphics software tool, was used to create the terrain surface and 3D solid objects based on the data of a digital elevation model, considering the spatial resolution of 90 m provided by the SRTM of the NASA. The level
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Langheinrich, M. "EVALUATION OF GMSH MESHING ALGORITHMS IN PREPARATION OF HIGH-RESOLUTION WIND SPEED SIMULATIONS IN URBAN AREAS." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLII-2 (May 30, 2018): 559–64. http://dx.doi.org/10.5194/isprs-archives-xlii-2-559-2018.

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This paper aims to evaluate the applicability of automatically generated meshes produced within the gmsh meshing framework in preparation for high resolution wind speed and atmospheric pressure simulations for detailed urban environments. The process of creating a skeleton geometry for the meshing process based on level of detail (LOD) 2 CityGML data is described. Gmsh itself offers several approaches for the 2D and 3D meshing process respectively. The different algorithms are shortly introduced and preliminary rated in regard to the mesh quality that is to be expected, as they differ inversel
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Li, Qi, Yu Song, Xiaoqian Jin, Yan Wu, Hang Zhang, and Di Zhao. "EGNet: 3D Semantic Segmentation Through Point–Voxel–Mesh Data for Euclidean–Geodesic Feature Fusion." Sensors 24, no. 24 (2024): 8196. https://doi.org/10.3390/s24248196.

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With the advancement of service robot technology, the demand for higher boundary precision in indoor semantic segmentation has increased. Traditional methods of extracting Euclidean features using point cloud and voxel data often neglect geodesic information, reducing boundary accuracy for adjacent objects and consuming significant computational resources. This study proposes a novel network, the Euclidean–geodesic network (EGNet), which uses point cloud–voxel–mesh data to characterize detail, contour, and geodesic features, respectively. The EGNet performs feature fusion through Euclidean and
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Saraswathi, Dr D. "Topology and Its Role in Computational Geometry and Graphics." International Journal for Research in Applied Science and Engineering Technology 13, no. 6 (2025): 336–43. https://doi.org/10.22214/ijraset.2025.71984.

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Topology, a fundamental area of mathematics concerned with the properties of space that are preserved under continuous transformations, plays a crucial role in computational geometry and computer graphics. Its principles offer a deep understanding of how objects can be represented, manipulated, and visualized digitally. From mesh generation and simplification to shape analysis and 3D modeling, topology provides essential tools that enable efficient and robust algorithms. This paper explores the integration of topological concepts in computational geometry and graphics, highlighting their appli
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Grilli, Eleonora, and Fabio Remondino. "Classification of 3D Digital Heritage." Remote Sensing 11, no. 7 (2019): 847. http://dx.doi.org/10.3390/rs11070847.

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In recent years, the use of 3D models in cultural and archaeological heritage for documentation and dissemination purposes is increasing. The association of heterogeneous information to 3D data by means of automated segmentation and classification methods can help to characterize, describe and better interpret the object under study. Indeed, the high complexity of 3D data along with the large diversity of heritage assets themselves have constituted segmentation and classification methods as currently active research topics. Although machine learning methods brought great progress in this respe
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Lelli, Diego, John W. Chew, and Paul Cooper. "Combined Three-Dimensional Fluid Dynamics and Mechanical Modeling of Brush Seals." Journal of Turbomachinery 128, no. 1 (2005): 188–95. http://dx.doi.org/10.1115/1.2103093.

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Development and application of a combined 3D computational fluid dynamics (CFD) and 3D bristle bending model for brush seals is described. The CFD model is created using commercial CFD mesh generation and solver software. A small gap is assumed between all bristles in the CFD model so as to avoid meshing problems at contact points and allow for imperfections in bristle geometry. The mechanical model is based on linear beam bending theory and allows large numbers of bristles to be modelled with arbitrary bristle-to-bristle contact and imported from the CFD solution. Deformed geometries may be e
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Geronzi, Leonardo, Benigno Marco Fanni, Bart De Jong, et al. "A Parametric 3D Model of Human Airways for Particle Drug Delivery and Deposition." Fluids 9, no. 1 (2024): 27. http://dx.doi.org/10.3390/fluids9010027.

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The treatment for asthma and chronic obstructive pulmonary disease relies on forced inhalation of drug particles. Their distribution is essential for maximizing the outcomes. Patient-specific computational fluid dynamics (CFD) simulations can be used to optimize these therapies. In this regard, this study focuses on creating a parametric model of the human respiratory tract from which synthetic anatomies for particle deposition analysis through CFD simulation could be derived. A baseline geometry up to the fourth generation of bronchioles was extracted from a CT dataset. Radial basis function
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Zhang, Kaiwei, Dandan Zhu, Xiongkuo Min, and Guangtao Zhai. "Textured Mesh Saliency: Bridging Geometry and Texture for Human Perception in 3D Graphics." Proceedings of the AAAI Conference on Artificial Intelligence 39, no. 9 (2025): 9977–84. https://doi.org/10.1609/aaai.v39i9.33082.

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Textured meshes significantly enhance the realism and detail of objects by mapping intricate texture details onto the geometric structure of 3D models. This advancement is valuable across various applications, including entertainment, education, and industry. While traditional mesh saliency studies focus on non-textured meshes, our work explores the complexities introduced by detailed texture patterns. We present a new dataset for textured mesh saliency, created through an innovative eye-tracking experiment in a six degrees of freedom (6-DOF) VR environment. This dataset addresses the limitati
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Wróblewski, Adam, Arkadiusz Macek, Aleksandra Bansiewicz, and Jacek Wodecki. "Comparison of Hexcore and Poly-Hexcore computational meshes in the aspect of air flow modeling based on the actual geometry of mining excavations." IOP Conference Series: Earth and Environmental Science 1295, no. 1 (2024): 012007. http://dx.doi.org/10.1088/1755-1315/1295/1/012007.

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Abstract Discrete models are used in industry for many applications. In one of the most frequently used Finite Element Method (FEM) for Computational Fluid Dynamics (CFD) calculations, discrete models may be two-dimensional or three-dimensional. 2D models are used as a simplification to achieve satisfied results in the shortest computational time. 3D models, on the other hand, are used for more complex calculations. These models constitute a representation of real-world objects that have been appropriately simplified to make the calculations accurate and correct. The calculation time of a 3D m
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Lee, Ahyun. "Geometry and Topology Correction of 3D Building Models with Fragmented and Disconnected Components." ISPRS International Journal of Geo-Information 14, no. 5 (2025): 198. https://doi.org/10.3390/ijgi14050198.

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This paper presents a methodology for correcting geometric and topological errors, specifically addressing fragmented and disconnected components in buildings (FDCB) in 3D models intended for urban digital twin (UDT). The proposed two-stage approach combines geometric refinement via duplicate vertex removal with topological refinement using a novel spatial partitioning-based Depth-First Search (DFS) algorithm for connected mesh clustering. This spatial partitioning-based DFS significantly improves upon traditional graph traversal methods like standard DFS, breadth-first search (BFS), and Union
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Guo, Minghao, Bohan Wang, and Wojciech Matusik. "Medial Skeletal Diagram: A Generalized Medial Axis Approach for Compact 3D Shape Representation." ACM Transactions on Graphics 43, no. 6 (2024): 1–23. http://dx.doi.org/10.1145/3687964.

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We propose the Medial Skeletal Diagram, a novel skeletal representation that tackles the prevailing issues around skeleton sparsity and reconstruction accuracy in existing skeletal representations. Our approach augments the continuous elements in the medial axis representation to effectively shift the complexity away from the discrete elements. To that end, we introduce generalized enveloping primitives, an enhancement over the standard primitives in the medial axis, which ensure efficient coverage of intricate local features of the input shape and substantially reduce the number of discrete e
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37

Ladak, H. M., J. S. Milner and, and D. A. Steinman. "Rapid Three-Dimensional Segmentation of the Carotid Bifurcation From Serial MR Images." Journal of Biomechanical Engineering 122, no. 1 (1999): 96–99. http://dx.doi.org/10.1115/1.429646.

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The current trend in computational hemodynamics is to employ realistic models derived from ex vivo or in vivo imaging. Such studies typically produce a series of images from which the lumen boundaries must first be individually extracted (i.e., two-dimensional segmentation), and then serially reconstructed to produce the three-dimensional lumen surface geometry. In this paper, we present a rapid three-dimensional segmentation technique that combines these two steps, based on the idea of an expanding virtual balloon. This three-dimensional technique is demonstrated in application to finite elem
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38

Keerthinathan, Pirunthan, Megan Winsen, Thaniroshan Krishnakumar, Anthony Ariyanayagam, Grant Hamilton, and Felipe Gonzalez. "Modelling LiDAR-Based Vegetation Geometry for Computational Fluid Dynamics Heat Transfer Models." Remote Sensing 17, no. 3 (2025): 552. https://doi.org/10.3390/rs17030552.

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Vegetation characteristics significantly influence the impact of wildfires on individual building structures, and these effects can be systematically analyzed using heat transfer modelling software. Close-range light detection and ranging (LiDAR) data obtained from uncrewed aerial systems (UASs) capture detailed vegetation morphology; however, the integration of dense vegetation and merged canopies into three-dimensional (3D) models for fire modelling software poses significant challenges. This study proposes a method for integrating the UAS–LiDAR-derived geometric features of vegetation compo
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39

Liu, Xiaolong, Seda Aslan, Byeol Kim, et al. "Computational Fontan Analysis: Preserving Accuracy While Expediting Workflow." World Journal for Pediatric and Congenital Heart Surgery 13, no. 3 (2022): 293–301. http://dx.doi.org/10.1177/21501351211073619.

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Background: Postoperative outcomes of the Fontan operation have been linked to geometry of the cavopulmonary pathway, including graft shape after implantation. Computational fluid dynamics (CFD) simulations are used to explore different surgical options. The objective of this study is to perform a systematic in vitro validation for investigating the accuracy and efficiency of CFD simulation to predict Fontan hemodynamics. Methods: CFD simulations were performed to measure indexed power loss (iPL) and hepatic flow distribution (HFD) in 10 patient-specific Fontan models, with varying mesh and nu
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40

Lian, Lihan, Michelle Baek, Sunwoo Ma, Monica Jones, and Jingwen Hu. "A Parametric Thoracic Spine Model Accounting for Geometric Variations by Age, Sex, Stature, and Body Mass Index." SAE International Journal of Transportation Safety 11, no. 2 (2023): 123–31. http://dx.doi.org/10.4271/09-11-02-0012.

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<div>In this study, a parametric thoracic spine (T-spine) model was developed to account for morphological variations among the adult population. A total of 84 CT scans were collected, and the subjects were evenly distributed among age groups and both sexes. CT segmentation, landmarking, and mesh morphing were performed to map a template mesh onto the T-spine vertebrae for each sampled subject. Generalized procrustes analysis (GPA), principal component analysis (PCA), and linear regression analysis were then performed to investigate the morphological variations and develop prediction mod
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41

Weres, Jerzy, Sebastian Kujawa, Wiesław Olek, and Łukasz Czajkowski. "Integration of experimental and computational methods for identifying geometric, thermal and diffusive properties of biomaterials." International Agrophysics 30, no. 2 (2016): 253–60. http://dx.doi.org/10.1515/intag-2015-0089.

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Abstract Knowledge of physical properties of biomaterials is important in understanding and designing agri-food and wood processing industries. In the study presented in this paper computational methods were developed and combined with experiments to enhance identification of agri-food and forest product properties, and to predict heat and water transport in such products. They were based on the finite element model of heat and water transport and supplemented with experimental data. Algorithms were proposed for image processing, geometry meshing, and inverse/direct finite element modelling. T
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42

Tang, Ellande, and Soon-Jo Chung. "Rapid extraction of propeller geometry using photogrammetry." International Journal of Micro Air Vehicles 14 (January 2022): 175682932211320. http://dx.doi.org/10.1177/17568293221132044.

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As small Uninhabited Aerial Vehicles (sUAS) increase in popularity, computational analysis is increasingly being used to model and improve their performance. However, although propeller performance is one of the primary elements in modelling an aircraft, most manufacturers of propellers for this size of vehicle do not publish geometric information for the propeller. The lack of available geometric data makes simulation of propeller aerodynamics challenging. While techniques exist to accurately extract the 3D geometry of a propeller, these methods are often very expensive, time-consuming, or la
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43

Shabalin, L. P., E. A. Puzyretskiy, V. I. Khaliulin, and V. V. Batrakov. "MODELING OF 3D-PRINTING PROCESSES FOR COMPOSITE TOOLING AND TRANSFER MOLDING OF GRID STRUCTURES." PNRPU Mechanics Bulletin, no. 1 (December 15, 2023): 159–72. http://dx.doi.org/10.15593/perm.mech/2023.1.15.

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The paper discusses the method of obtaining a digital passport of the material and the development of a digital twin of the product at various stages of its manufacture. The object of research is a conical mesh structure. The subject of research is the processes occurring in the product at the manufacturing stages. The following main stages of creating a mesh structure were considered in the work: 3D printing of a workpiece tooling, laying out a carbon unidirectional material, heating and impregnation of the preform with a binder, polymerization of the binder, and warpage of the product geomet
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Mohd Saim, Noraida, and Anuar Kasa. "Effect of Mesh Coarseness on Slope Stability Analysis Using 2D and 3D Finite Element Method." Jurnal Kejuruteraan 36, no. 2 (2024): 497–507. http://dx.doi.org/10.17576/jkukm-2024-36(2)-11.

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A comprehensive understanding of slope stability is essential for ensuring the safety and durability of structures built on or near slopes and mitigating the risks associated with landslides and slope failures. Slope stability is typically evaluated using the factor of safety (FOS) based on the critical slip surfaces. The calculation of FOS is commonly executed using Limit Equilibrium Method (LEM) by dividing the slope into several vertical slices. However, the stability analyses using Finite Element Method (FEM) have gained significant attention in geotechnical engineering due to their abilit
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Markou, George. "Computational Performance of an Embedded Reinforcement Mesh Generation Method for Large-Scale RC Simulations." International Journal of Computational Methods 12, no. 03 (2015): 1550019. http://dx.doi.org/10.1142/s021987621550019x.

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In this paper, a numerical investigation on the limits of an automatic procedure for the generation of embedded steel reinforcement inside hexahedral finite elements (FEs) is presented. In 3D detailed reinforced concrete simulations, mapping the reinforcement grid inside the concrete hexahedral FEs is performed using the end-point coordinates of the rebar reinforcement macro-elements. This procedure is computationally demanding while in cases of large-scale models, the required computational time for the reinforcement mesh generation is excessive. This research work scopes to study and present
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46

Zifan, Ali, and Panos Liatsis. "Patient-Specific Computational Models of Coronary Arteries Using Monoplane X-Ray Angiograms." Computational and Mathematical Methods in Medicine 2016 (2016): 1–12. http://dx.doi.org/10.1155/2016/2695962.

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Coronary artery disease (CAD) is the most common type of heart disease in western countries. Early detection and diagnosis of CAD is quintessential to preventing mortality and subsequent complications. We believe hemodynamic data derived from patient-specific computational models could facilitate more accurate prediction of the risk of atherosclerosis. We introduce a semiautomated method to build 3D patient-specific coronary vessel models from 2D monoplane angiogram images. The main contribution of the method is a robust segmentation approach using dynamic programming combined with iterative 3
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47

T. V., Smitha, Madhura S, Sindhu R, and Brundha R. "A Study on Various Mesh Generation Techniques used for Engineering Applications." Journal of Innovative Image Processing 3, no. 2 (2021): 75–84. http://dx.doi.org/10.36548/jiip.2021.2.001.

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In this paper our aim is to provide a survey of mesh generation techniques for some Engineering applications. Mesh generation is a very important requirement to solve any problem by very popular numerical method known as Finite element method (FEM). It has several applications in various fields. One such technique is Automated generation of finite element meshes for aircraft conceptual design. It’s an approach for automated generation of fully connected finite element meshes for all internal structural components, given wing body, geometry model, controlled by a few conceptual level structural
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Bucurenciu, Cristian, Victor S. Costache, and Gabriela S. Cândea. "Study of aortic dissections treatment. Segmentation, simulation and valiadation of surgical results." MATEC Web of Conferences 290 (2019): 04004. http://dx.doi.org/10.1051/matecconf/201929004004.

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Nowadays, Computational Fluid Dynamics (CFD) it’s seen as the new trend in the management of aortic pathologies. Together with visualization capabilities of cardiovascular magnetic resonance (CMR) and computed tomography (CT) imaging, real time segmentation (volumetric) models further used as meshes in Computational Fluid Dynamic supply to the clinicians an innovative and extensive decision-making system. In the present paper, we identified and analysed the clinical indicators (lumens diameters, fenestrated area and blood volume) monitored by clinicians to evaluate the patient’ condition befor
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Yang, Dikun, and Douglas W. Oldenburg. "Three-dimensional inversion of airborne time-domain electromagnetic data with applications to a porphyry deposit." GEOPHYSICS 77, no. 2 (2012): B23—B34. http://dx.doi.org/10.1190/geo2011-0194.1.

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We inverted airborne time-domain electromagnetic (ATEM) data over a porphyry deposit in central British Columbia, Canada and recovered the 3D electrical conductivity structure. Full 3D inversion was required because of the circular geometry of the deposit. Typical analysis, which assumes a homogeneous or layered earth, produces conductive artifacts that are contrary to geologic expectations. A synthetic example showed that those misleading artifacts arise by assuming a 1D layered earth and that a 3D inversion can successfully solve the problem. Because of the computational challenges of solvin
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Shragge, Jeffrey Chilver. "Riemannian wavefield extrapolation: Nonorthogonal coordinate systems." GEOPHYSICS 73, no. 2 (2008): T11—T21. http://dx.doi.org/10.1190/1.2834879.

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Riemannian wavefield extrapolation (RWE) is used to model one-way wave propagation on generalized coordinate meshes. Previous RWE implementations assume that coordinate systems are defined by either orthogonal or semiorthogonal geometry. This restriction leads to situations where coordinate meshes suffer from problematic bunching and singularities. Nonorthogonal RWE is a procedure that avoids many of these problems by posing wavefield extrapolation on smooth, but generally nonorthogonal and singularity-free, coordinate meshes. The resulting extrapolation operators include additional terms that
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