Remeshing Based Mesh Smoothing by 2D Sketches Input

Volume 1: 22nd Computers and Information in Engineering Conference ◽

10.1115/detc2002/cie-34478 ◽

2002 ◽

Author(s):

Charlie C. L. Wang ◽

Yu Wang ◽

Matthew M. F. Yuen

Keyword(s):

Thin Plate ◽

Geometric Modeling ◽

Smoothing Method ◽

Mesh Smoothing ◽

Topology Structure ◽

3D Mesh ◽

Mesh Surface ◽

Membrane Energy ◽

Interactive 3D ◽

2D Sketches

This paper presents an interactive 3D mesh smoothing method, which is useful for intuitive, efficient geometric modeling of freeform polygonal models. With our method, users can remove unwanted bumps and cavities, or smooth creases by drawing two strokes to map out the smoothing area. Discrete fairing is applied on the surrounded area to minimize its membrane energy and its thin plate energy. During the process of fairing, an umbrella operator smoothes the vertices in the surrounded area one by one; and a remeshing scheme is used to optimize the topology structure of the mesh inside the surrounded area during smoothing. Compare to other well-known approaches, our method will not be influenced by the topology structure of the smoothing mesh. Thus, it can be applied to any triangular mesh surface. At the end of this paper, examples of our mesh smoothing implementation are shown to demonstrate its functionality.

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Sketch Based Mesh Extrusion With Remeshing Techniques

Volume 1: 21st Computers and Information in Engineering Conference ◽

10.1115/detc2001/cie-21305 ◽

2001 ◽

Author(s):

Charlie C. L. Wang ◽

Matthew M. F. Yuen

Keyword(s):

Geometric Modeling ◽

Free Form ◽

Mesh Optimization ◽

Polygonal Mesh ◽

3D Mesh ◽

Mesh Surface ◽

Extrusion Method ◽

Polygonal Models

Abstract In this paper, we proposed a useful 3D mesh extrusion method for intuitive, efficient geometric modeling of free-form polygonal models. With our method, the user can sketch two strokes to extrude a polygonal mesh surface. Two remeshing techniques: partial mesh re-triangulation and mesh optimization are described in this paper first. After that, the extrusion algorithm with the remeshing techniques is introduced in detail. The method can be widely used in the modeling of free-form polygonal objects. And at the end of this paper, several examples are given.

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3D Mesh Smoothing Method Based on Vertex Classification and Distance Equalization

2018 5th International Conference on Systems and Informatics (ICSAI) ◽

10.1109/icsai.2018.8599428 ◽

2018 ◽

Author(s):

Wenhao Li

Keyword(s):

Smoothing Method ◽

Mesh Smoothing ◽

3D Mesh ◽

Vertex Classification

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A general mesh smoothing method for finite elements

Finite Elements in Analysis and Design ◽

10.1016/j.finel.2019.01.010 ◽

2019 ◽

Vol 158 ◽

pp. 17-30 ◽

Cited By ~ 7

Author(s):

R. Durand ◽

B.G. Pantoja-Rosero ◽

V. Oliveira

Keyword(s):

Finite Elements ◽

Smoothing Method ◽

Mesh Smoothing

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Efficient Parallel Algorithms for 3D Laplacian Smoothing on the GPU

Applied Sciences ◽

10.3390/app9245437 ◽

2019 ◽

Vol 9 (24) ◽

pp. 5437

Author(s):

Lei Xiao ◽

Guoxiang Yang ◽

Kunyang Zhao ◽

Gang Mei

Keyword(s):

Large Scale ◽

Graphics Processing Unit ◽

Parallel Implementation ◽

Three Dimensional ◽

Smoothing Method ◽

Three Dimensions ◽

Processing Unit ◽

Mesh Quality ◽

Mesh Smoothing ◽

Laplacian Smoothing

In numerical modeling, mesh quality is one of the decisive factors that strongly affects the accuracy of calculations and the convergence of iterations. To improve mesh quality, the Laplacian mesh smoothing method, which repositions nodes to the barycenter of adjacent nodes without changing the mesh topology, has been widely used. However, smoothing a large-scale three dimensional mesh is quite computationally expensive, and few studies have focused on accelerating the Laplacian mesh smoothing method by utilizing the graphics processing unit (GPU). This paper presents a GPU-accelerated parallel algorithm for Laplacian smoothing in three dimensions by considering the influence of different data layouts and iteration forms. To evaluate the efficiency of the GPU implementation, the parallel solution is compared with the original serial solution. Experimental results show that our parallel implementation is up to 46 times faster than the serial version.

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A new mesh smoothing method based on a neural network

Computational Mechanics ◽

10.1007/s00466-021-02097-z ◽

2021 ◽

Author(s):

Yufei Guo ◽

Chuanrui Wang ◽

Zhe Ma ◽

Xuhui Huang ◽

Kewu Sun ◽

...

Keyword(s):

Neural Network ◽

Smoothing Method ◽

Mesh Smoothing

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Active noise thin-plate spline smoothing method for full-f ield strain measurement by digital image correlation

Chinese Optics Letters ◽

10.3788/col201210.s11202 ◽

2012 ◽

Vol 10 (s1) ◽

pp. S11202-311204

Author(s):

Jiaqing Zhao Jiaqing Zhao ◽

Pan Zeng Pan Zeng ◽

Liping Lei Liping Lei ◽

Hongfei Du Hongfei Du ◽

Wenbin He Wenbin He

Keyword(s):

Digital Image Correlation ◽

Thin Plate ◽

Digital Image ◽

Strain Measurement ◽

Smoothing Method ◽

Thin Plate Spline ◽

Image Correlation ◽

Spline Smoothing ◽

Active Noise

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Mesh smoothing method based on local wave analysis

Chinese Journal of Mechanical Engineering ◽

10.3901/cjme.2012.03.598 ◽

2012 ◽

Vol 25 (3) ◽

pp. 598-607

Author(s):

Xujia Qin ◽

Hongbo Zheng ◽

Shiwei Cheng ◽

Shishuang Liu ◽

Xiaogang Xu

Keyword(s):

Smoothing Method ◽

Wave Analysis ◽

Mesh Smoothing ◽

Local Wave

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Rational ANCF Thin Plate Finite Element

Journal of Computational and Nonlinear Dynamics ◽

10.1115/1.4032385 ◽

2016 ◽

Vol 11 (5) ◽

Cited By ~ 24

Author(s):

Carmine M. Pappalardo ◽

Zuqing Yu ◽

Xiaoshun Zhang ◽

Ahmed A. Shabana

Keyword(s):

Finite Element ◽

Finite Elements ◽

Thin Plate ◽

Geometric Modeling ◽

Absolute Nodal Coordinate Formulation ◽

Position Vector ◽

Plate Element ◽

Conic Sections ◽

Absolute Nodal Coordinate ◽

Linear Algebraic Equations

In this paper, a rational absolute nodal coordinate formulation (RANCF) thin plate element is developed and its use in the analysis of curved geometry is demonstrated. RANCF finite elements are the rational counterpart of the nonrational absolute nodal coordinate formulation (ANCF) finite elements which employ rational polynomials as basis or blending functions. RANCF finite elements can be used in the accurate geometric modeling and analysis of flexible continuum bodies with complex geometrical shapes that cannot be correctly described using nonrational finite elements. In this investigation, the weights, which enter into the formulation of the RANCF finite element and form an additional set of geometric parameters, are assumed to be nonzero constants in order to accurately represent the initial geometry and at the same time preserve the desirable ANCF features, including a constant mass matrix and zero centrifugal and Coriolis generalized inertia forces. A procedure for defining the control points and weights of a Bezier surface defined in a parametric form is used in order to be able to efficiently create RANCF/ANCF FE meshes in a straightforward manner. This procedure leads to a set of linear algebraic equations whose solution defines the RANCF coordinates and weights without the need for an iterative procedure. In order to be able to correctly describe the ANCF and RANCF gradient deficient FE geometry, a square matrix of position vector gradients is formulated and used to calculate the FE elastic forces. As discussed in this paper, the proposed finite element allows for describing exactly circular and conic sections and can be effectively used in the geometry and analysis modeling of multibody system (MBS) components including tires. The proposed RANCF finite element is compared with other nonrational ANCF plate elements. Several numerical examples are presented in order to demonstrate the use of the proposed RANCF thin plate element. In particular, the FE models of a set of rational surfaces, which include conic sections and tires, are developed.

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