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An Adaptive Parametric Surface Mesh Generation Method Guided by Curvatures
[chapter]
2014
Proceedings of the 22nd International Meshing Roundtable
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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]
2006
Lecture Notes in Computer Science
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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
2012
3D Research
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., 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]
2009
Proceedings of the 18th International Meshing Roundtable
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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
2016
International Journal of Signal Processing, Image Processing and Pattern Recognition
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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
2018
Mathematical Problems in Engineering
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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
2007
Computer Vision and Image Understanding
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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
2008
Engineering with Computers
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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
2010
Aesthetic Plastic Surgery
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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
2018
Scientific Reports
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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]
2005
Lecture Notes in Computer Science
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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
2000
Image and Vision Computing
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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]
2006
VAST: International Symposium on Virtual Reality
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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]
2012
Mathematics and Visualization
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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
2019
1ST INTERNATIONAL CONFERENCE ON ADVANCES IN MECHANICAL ENGINEERING AND NANOTECHNOLOGY (ICAMEN 2019)
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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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