A global algorithm to compute defect-tolerant geodesic distance by Xin, Shi-Qing, Quynh, Dao Thi Phuong, Ying, Xiang, He, Ying

“…Computing geodesic distance on surfaces plays a critical role in digital geometry processing. However, due to its locally shortest nature, geodesic distance is highly sensitive to local geometrical and topological changes, diminishing its applications to real-world models which may contain various types of defects. …”
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The crashworthiness performance of the energy-absorbing composite structure—A review by Ahamad Khilji, Irshad, Siti Nadiah, Mohd Saffe, Reddy Chilakamarry, Chaitanya, Siti Aishah, Rusdan

“…Several parameters affect energy absorption such as fibre type, matrix type, fibre architecture, specimen geometry, processing conditions, fibre volume fraction, and test speed. …”
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Hexahedral Mesh Repair via Sum‐of‐Squares Relaxation by Marschner, Z, Palmer, D, Zhang, P, Solomon, J

“…Our novel methodology also introduces the general machinery of sum-of-squares relaxation to geometry processing, where it has the potential to solve related problems.…”
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Lifting Directional Fields to Minimal Sections by Palmer, David, Chern, Albert, Solomon, Justin

“…Directional fields, including unit vector, line, and cross fields, are essential tools in the geometry processing toolkit. The topology of directional fields is characterized by their singularities. …”
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Scaling Metal Additive Manufacturing from R&D to Production by Weißbach, Reimar

“…Connecting commercial data, information about geometry, processing, materials, post-processing, and testing to a build allows to gain a system-level understanding while also being able to dive into details where needed. …”
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Generating cost-effective models for 3D printing by Xu, Wei

“…Particularly, we will look into 3D geometry processing and STL file generation. At the end, a web-based system will be developed to implement the processes of taking OBJ file as input and outputting a cost-effective 3D model in STL format.…”
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Delaunay mesh simplification with differential evolution by Yi, Ran, Liu, Yong-Jin, He, Ying

“…Delaunay meshes (DM) are a special type of manifold triangle meshes --- where the local Delaunay condition holds everywhere --- and find important applications in digital geometry processing. This paper addresses the general DM simplification problem: given an arbitrary manifold triangle mesh M with n vertices and the user-specified resolution m (< n), compute a Delaunay mesh M* with m vertices that has the least Hausdorffdistance to M. …”
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Field-aligned quadrangulation for image vectorization by Wei, Guangshun, Zhou, Yuanfeng, Gao, Xifeng, Ma, Qian, Xin, Shiqing, He, Ying

“…Inspired by the quadrangulation methods in 3D geometry processing, we propose a new directional field optimization technique by encoding the color gradients, sidestepping the explicit computing of salient image features. …”
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Lattice-Based High-Dimensional Gaussian Filtering and the Permutohedral Lattice by Baek, Jongmin, Adams, Andrew, Dolson, Jennifer

“…High-dimensional Gaussian filtering is a popular technique in image processing, geometry processing and computer graphics for smoothing data while preserving important features. …”
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Geometric Computing beyond the Laplacian by Wang, Yu

“…The Laplace–Beltrami operator, or, Laplacian, is the central object of study in shape analysis, geometry processing, and scientific computing. Motivated by the ubiquity of Laplacian in geometric computing algorithms, this thesis initiates a program for systematically designing novel algorithms by replacing the Laplacian with better or even optimal alternative operators. …”
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Computing smooth quasi-geodesic distance field (QGDF) with quadratic programming by Cao, Luming, Zhao, Junhao, Xu, Jian, Chen, Shuangmin, Liu, Guozhu, Xin, Shiqing, Zhou, Yuanfeng, He, Ying

“…Computing geodesic distances on polyhedral surfaces is an important task in digital geometry processing. Speed and accuracy are two commonly-used measurements of evaluating a discrete geodesic algorithm. …”
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Dirichlet energy of Delaunay meshes and intrinsic Delaunay triangulations by Ye, Zipeng, Yi, Ran, Gong, Wenyong, He, Ying, Liu, Yong-Jin

“…Due to its deep connection to the Laplace–Beltrami operator, Dirichlet energy plays an important role in digital geometry processing. Given a 2-manifold triangle mesh M with vertex set V, the generalized Rippa's theorem shows that the Dirichlet energy among all possible triangulations of V arrives at its minimum on the intrinsic Delaunay triangulation (IDT) of V. …”
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Comparison of Monte Carlo and bootstrap analyses for residual life and confidence interval by Husnain, M.M.N., Akramin, M. R.M., Shaari, M. S., Takahashi, Akiyuki, Bashiri, Abdullateef H., Alshoaibi, Abdulnaser M.

“…Furthermore, material selection, geometry, processing and residual stresses are critical factors that may contribute to uncertainty and prospective failure mechanisms in engineering. …”
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Efficient construction and simplification of Delaunay meshes by Liu, Yong-Jin, Xu, Chun-Xu, Fan, Dian, He, Ying

“…Therefore, the existing digital geometry processing algorithms can benefit the numerical stability of DM without changing any codes. …”
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On the vertex-oriented triangle propagation (VTP) algorithm : parallelization and approximation by Du, Jie, He, Ying, Fang, Zheng, Meng, Wenlong, Xin, Shi-Qing

“…Computing geodesic distances on polyhedral surfaces is a fundamental problem in digital geometry processing and computer-aided design. Most of the existing exact algorithms partition mesh edges into intervals, called windows, and propagate one window at a time. …”
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Variational surface reconstruction by Wan, Min

“…As a fundamental geometry processing task and a typical reverse engineering, surface reconstruction plays a significant role in various areas such as CAD, animation, and medical imaging. …”
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Analysis of fatigue surface crack using the probabilistic s-version finite element model by Mohd Akramin, Mohd Romlay

“…In addition, the material selection, geometry, processing and residual stresses produce uncertainties and possible failure modes in the field of engineering. …”
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Development of the overlay formulation in finite element model by Akramin, M. R.M., Sidek, Mohd Zaidi, Oumer, Ahmed Nurye, Amirruddin, A. K., Hassan, Wan Anuar Wan, Mahdhir, Mohd Yusof

“…In addition, the material selection, geometry, processing and residual stresses produce uncertainties and possible failure modes in the field of engineering. …”
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Fatigue crack growth analysis using the bootstrap s-version finite element model by Muhamad Husnain, Mohd Noh

“…In addition, materials selection, geometry, processing and residual stresses produce uncertainties and possible failure modes in the field of engineering. …”
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Discrete geodesic graphs by Fang, Zheng

“…With the growth of computation capabilities, geometry processing applications incorporate with larger scale data and demand higher runtime performance, space efficiency, scalability and robustness. …”
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