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An Adaptive Parametric Surface Mesh Generation Method Guided by Curvatures [chapter]

Daniel M. B. de Siqueira, Markos O. Freitas, Joaquim B. Cavalcante-Neto, Creto A. Vidal, Romildo J. da Silva
2014 Proceedings of the 22nd International Meshing Roundtable  
The analytical curvature is a mathematical representation that models the domain, whereas the discrete curvature is an approximation of that curvature and depends directly on the used mesh.  ...  The proposed strategy is controlled by curvatures and the error measured between the analytical and discrete curvatures guides the adaptive process.  ...  This is performed based on the error estimation of the discrete curvature relative to the analytical curvature evaluated at the vertices.  ... 
doi:10.1007/978-3-319-02335-9_24 dblp:conf/imr/SiqueiraFNVS13 fatcat:2y3j4cdnkvf2homtyenwtvpasi

Segmentation of Scanned Mesh into Analytic Surfaces Based on Robust Curvature Estimation and Region Growing [chapter]

Tomohiro Mizoguchi, Hiroaki Date, Satoshi Kanai, Takeshi Kishinami
2006 Lecture Notes in Computer Science  
We use the mesh curvature estimation with sharp edge recognition, and the non-iterative region growing to extract the regions. The proposed mesh curvature estimation is robust for measurement noise.  ...  Therefore, the portions of the part's boundary where each can be represented by a type of analytic surface have to be extracted as regions from the mesh model.  ...  We thank for Ichiro Nishigaki and Noriyuki Sadaoka in HITACHI Co.Ltd. for providing CT-scanned mesh model.  ... 
doi:10.1007/11802914_52 fatcat:5d6454tesvbphj7qxqwkjcfwoi

From the topical issue editor

Nickolas S. Sapidis
2012 3D Research  
., reflection lines, highlight lines, geodesics, geodesic offsets, lines of curvature, etc), originally developed for analytic B-spline surfaces, to surfaces represented by triangular meshes.  ...  The paper by Alexander TSOUKNIDAS et al. uses 3D images based on Computer Tomography (CT) or Magnetic Resonance Imaging (MRI) and methods determining bone material properties to construct accurate 3D finite-element  ...  ., reflection lines, highlight lines, geodesics, geodesic offsets, lines of curvature, etc), originally developed for analytic B-spline surfaces, to surfaces represented by triangular meshes.  ... 
doi:10.1007/3dres.02(2012)7 fatcat:ejuawbm5ynb45mbrctrp6rr7u4

A Novel Method for Surface Mesh Smoothing: Applications in Biomedical Modeling [chapter]

Jun Wang, Zeyun Yu
2009 Proceedings of the 18th International Meshing Roundtable  
In this paper, we present a surface-fitting based smoothing algorithm for discrete, general-purpose mesh models.  ...  At each vertex of the initial mesh, the curvature is estimated and used to label the vertex as one of four types.  ...  for surface fitting is dynamically determined based on the curvature variance.  ... 
doi:10.1007/978-3-642-04319-2_12 dblp:conf/imr/0001Y09 fatcat:swy7lp7xxvforneync3x4fopye

Extract Segmentation Lines of 3D Model based on Regional Discrete Curvature

Hui Jia, Jiangang Zhang
2016 International Journal of Signal Processing, Image Processing and Pattern Recognition  
In order to extract the segmentation lines of 3D meshes, this paper presents a novel and efficient algorithm which is based on regional discrete curvature.  ...  This algorithm does not need to wipe off the noise at initial stage, the experiment results show that the proposed algorithm can accurately and frequently yield meaningful segmentation lines for models  ...  ., [7] presented automatic 3D-mesh segmentation algorithm based on boundary edge learning.  ... 
doi:10.14257/ijsip.2016.9.1.25 fatcat:3s7j2y5wajewtgndgezn6edodu

Efficient 3D Volume Reconstruction from a Point Cloud Using a Phase-Field Method

Darae Jeong, Yibao Li, Heon Ju Lee, Sang Min Lee, Junxiang Yang, Seungwoo Park, Hyundong Kim, Yongho Choi, Junseok Kim
2018 Mathematical Problems in Engineering  
The proposed three-dimensional volume reconstruction algorithm is based on the 3D binary image segmentation method.  ...  We propose an explicit hybrid numerical method for the efficient 3D volume reconstruction from unorganized point clouds using a phase-field method.  ...  The 3D volume reconstruction algorithm is based on the 3D binary image segmentation method.  ... 
doi:10.1155/2018/7090186 fatcat:x2fm2nms5vfx3a7vzii2q2r7zu

A comparison of Gaussian and mean curvature estimation methods on triangular meshes of range image data

Evgeni Magid, Octavian Soldea, Ehud Rivlin
2007 Computer Vision and Image Understanding  
The algorithms were also tested on range images of geometric objects. The results were compared with the analytic values of the Gaussian and mean curvatures of the scanned geometric objects.  ...  Four different algorithms and their modifications were tested on triangular meshes that represent tessellations of synthetic geometric models.  ...  mesh, the closer the values of the curvatures computed at the mesh points are to the exact (analytically computed) values.  ... 
doi:10.1016/j.cviu.2006.09.007 fatcat:tgph73vhbvfkle2vladhmhsyra

Surface mesh regeneration considering curvatures

A. C. O. Miranda, L. F. Martha, P. A. Wawrzynek, A. R. Ingraffea
2008 Engineering with Computers  
This work describes an automatic algorithm for unstructured mesh regeneration on arbitrarily shaped threedimensional surfaces.  ...  This work also describes the implementation of these three methods to re-mesh an existing triangulated mesh that might present regions of high curvature.  ...  Algorithms have been described in the literature previously that generate 3D surface meshes by re-meshing existing triangulations [5] [6] [7] , or by using analytical surface descriptions for geometrical  ... 
doi:10.1007/s00366-008-0119-9 fatcat:42i27lcl4jhm3guvz6nml2mw2u

A Morphological Methodology for Three-dimensional Human Face Soft-tissue Landmarks Extraction: A Preliminary Study

F. Calignano, E. Vezzetti
2010 Aesthetic Plastic Surgery  
In order to reach this aim it is necessary to implement a methodology, based on landmarks geometrical codification, that mathematically formalizes the physician visual and palpation analysis on the real  ...  Considering that at present many physicians are approaching 3D scanners, that provides human face three-dimensional data, it is possible to implement a robust and repeatable methodology for supporting  ...  For images the algorithm commonly operates on the gradient magnitude of the input image. For 3D surface meshes, it uses the curvature of each vertex on the surface.  ... 
doi:10.1007/s00266-010-9579-6 pmid:20848098 fatcat:2xvzdd6tgja4loiyv7kirwxrri

Cranial shape comparison for automated objective 3D craniosynostosis surgery planning

Manon L. Tolhuisen, Guido A. de Jong, Ruud J. M. van Damme, Ferdinand van der Heijden, Hans H. K. Delye
2018 Scientific Reports  
No appropriate 3D reference data are available and the pre-operative plans are based on the opinion of the surgeon on what is beauty [16] [17] [18] [19] .  ...  Mesh data of skulls were created using marching cubes and raycasting. Curvature maps were computed using quadric surface fitting.  ...  A marching cubes algorithm was used to create 3D surface mesh data 21 .  ... 
doi:10.1038/s41598-018-21662-w pmid:29463840 pmcid:PMC5820255 fatcat:ul3eip6mqjedvirby2pxwkfipu

Brain Image Analysis Using Spherical Splines [chapter]

Ying He, Xin Li, Xianfeng Gu, Hong Qin
2005 Lecture Notes in Computer Science  
We propose a novel technique based on spherical splines for brain surface representation and analysis.  ...  Compared to the discrete mesh-based representation, our spherical spline offers a concise (low storage requirement) digital form with high continuity (C n−1 continuity for a degree n spherical spline).  ...  Based on its analytical representation, we can compute the differential properties, including normals, curvatures, geodesics, etc, without the need for any numerical approximations via frequently-used  ... 
doi:10.1007/11585978_41 fatcat:q3oreipdh5dfbmcj2db2fh2aha

3D stereo reconstruction of human faces driven by differential constraints

R Lengagne, P Fua, O Monga
2000 Image and Vision Computing  
A 3D mesh modeling the face is iteratively deformed in order to minimize an energy function. Di erential information extracted from the object shape is used to generate an adaptive mesh.  ...  Conventional stereo algorithms often fail in accurately reconstructing a 3D object because the image data do not provide enough information about the geometry of the object.  ...  Governing the mesh topology by surface di erential properties and running a correlation-based optimization algorithm on the adaptive mesh is sometimes not su cient to accurately recover 3D shapes.  ... 
doi:10.1016/s0262-8856(99)00058-x fatcat:uu5vn7tsiffovhdju4z4skupcq

Combining Laser Scanning and Photogrammetry - A Hybrid Approach for Heritage Documentation [article]

Norbert Haala, Yahya Alshawabkeh
2006 VAST: International Symposium on Virtual Reality  
The involved transformation parameters can be determined based on corresponding elements to be extracted from the different data sets.  ...  In addition to the geometric data collection, texture mapping based on additionally collected digital imagery is particular important for this type of application.  ...  Our approach is based on the work of [BJ88] , who proposed an analytical technique for estimating the mean and Gaussian curvature.  ... 
doi:10.2312/vast/vast06/163-170 fatcat:xqduiz762rh63b6qfhdiiabr4u

Discrete Distortion for 3D Data Analysis [chapter]

Leila De Floriani, Federico Iuricich, Paola Magillo, Mohammed Mostefa Mesmoudi, Kenneth Weiss
2012 Mathematics and Visualization  
We analyze the images based on the concept of discrete distortion, that we have introduced in [26], and on segmentations based on Morse theory.  ...  We describe a segmentation algorithm to produce Morse decompositions of a 3D scalar field which uses a watershed approach and we apply it to 3D images by using as scalar field both intensity and discrete  ...  Models of 3D scalar fields are based on voxels, or on tetrahedral meshes with vertices at the points in the 3D space at which the field is known.  ... 
doi:10.1007/978-3-642-21608-4_1 fatcat:tai2ml7dhfgg7nhljibvl7j4jq

Blend recognition from CAD mesh models using pattern matching

Vaibhav J. Hase, Yogesh J. Bhalerao, Saurabh Verma, G. J. Vikhe
The focus of this paper is to recognize the blends using hybrid mesh segmentation based on pattern matching.  ...  In the second phase, pattern matching hybrid mesh segmentation is used for clustering the facets into patches based on distinct geometrical properties.  ...  However, the most FR tool works on B-rep models. Innovative 3D design and manufacturing methods are mesh based [6] . A need exists to develop FR from the mesh model.  ... 
doi:10.1063/1.5123951 fatcat:awzh6ogvyzbyvlbhocxhiosnxu
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