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Tube-like surfaces are widely encountered in geometry processing, engineering structures, and medical anatomy, yet their intrinsic longitudinal and circumferential topology is not well preserved by conventional planar annular or rectangular…

Graphics · Computer Science 2026-05-19 Shunyu Yao , Gary P. T. Choi

The aim of this article is to introduce a new methodology for constructing morphings between shapes that have identical topology. The morphings are obtained by deforming a reference shape, through the resolution of a sequence of linear…

Numerical Analysis · Mathematics 2025-02-04 Abbas Kabalan , Fabien Casenave , Felipe Bordeu , Virginie Ehrlacher , Alexandre Ern

We describe a simple geometric transformation of triangles which leads to an efficient and effective algorithm to smooth triangle and tetrahedral meshes. Our focus lies on the convergence properties of this algorithm: we prove the…

Numerical Analysis · Mathematics 2014-11-18 Dimitris Vartziotis , Doris Bohnet

We propose 3Deformer, a general-purpose framework for interactive 3D shape editing. Given a source 3D mesh with semantic materials, and a user-specified semantic image, 3Deformer can accurately edit the source mesh following the shape…

Computer Vision and Pattern Recognition · Computer Science 2023-07-20 Hao Su , Xuefeng Liu , Jianwei Niu , Ji Wan , Xinghao Wu

The problem of polycube construction or deformation is an essential problem in computer graphics. In this paper, we present a robust, simple, efficient and automatic algorithm to deform the meshes of arbitrary shapes into their polycube…

Graphics · Computer Science 2018-07-24 Hui Zhao , Na Lei , Xuan Li , Peng Zeng , Ke Xu , Xianfeng Gu

When folding a 3D object from a 2D material like paper, typically only an approximation of the original surface geometry is needed. Such an approximation can effectively be created by a (progressive) mesh simplification approach, e.g. using…

Graphics · Computer Science 2024-05-14 Lars Zawallich , Renato Pajarola

In 3D shape reconstruction based on template mesh deformation, a regularization, such as smoothness energy, is employed to guide the reconstruction into a desirable direction. In this paper, we highlight an often overlooked property in the…

Graphics · Computer Science 2023-08-01 Yucheol Jung , Hyomin Kim , Gyeongha Hwang , Seung-Hwan Baek , Seungyong Lee

A new topography adapted mesh generation process tailored to simulate Atmospheric Boundary Layer (ABL) flows on complex terrains is presented. The mesher is fully automatic given: the maximum and minimum surface mesh size, the size of the…

Numerical Analysis · Mathematics 2022-06-16 Abel Gargallo-Peiró , Matias Avila , Arnau Folch

We introduce a novel regularization for localizing an elastic-energy-driven deformation to only those regions being manipulated by the user. Our local deformation features a natural region of influence, which is automatically adaptive to…

Graphics · Computer Science 2023-06-13 Honglin Chen , Changxi Zheng , Kevin Wampler

In the field of parametric partial differential equations, shape optimization represents a challenging problem due to the required computational resources. In this contribution, a data-driven framework involving multiple reduction…

Numerical Analysis · Mathematics 2021-02-23 Nicola Demo , Marco Tezzele , Andrea Mola , Gianluigi Rozza

We present an improved method for topology optimization with both adaptive mesh refinement and derefinement. Since the total volume fraction in topology optimization is usually modest, after a few initial iterations the domain of…

Numerical Analysis · Mathematics 2010-09-28 Shun Wang , Eric de Sturler , Glaucio H. Paulino

The vast majority of mesh-based modelling applications iteratively transform the mesh vertices under prescribed geometric conditions. This occurs in particular in methods cycling through the constraint set such as Position-Based Dynamics…

Numerical Analysis · Mathematics 2020-11-25 Carlos Arango Duque , Adrien Bartoli

Document rectification in real-world scenarios poses significant challenges due to extreme variations in camera perspectives and physical distortions. Driven by the insight that complex transformations can be decomposed and resolved…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Chaoyun Wang , Quanxin Huang , I-Chao Shen , Takeo Igarashi , Nanning Zheng , Caigui Jiang

Using (casual) images to texture 3D models is a common way to create realistic 3D models, which is a very important task in computer graphics. However, if the shape of the casual image does not look like the target model or the target…

Graphics · Computer Science 2018-09-11 I-Chao Shen , Yi-Hau Wang , Yu-Mei Chen , Bing-Yu Chen

Assur graphs are a tool originally developed by mechanical engineers to decompose mechanisms for simpler analysis and synthesis. Recent work has connected these graphs to strongly directed graphs, and decompositions of the pinned rigidity…

Combinatorics · Mathematics 2014-04-08 Anthony Nixon , Bernd Schulze , Adnan Sljoka , Walter Whiteley

This paper addresses the limitations of neural rendering-based multi-view surface reconstruction methods, which require an additional mesh extraction step that is inconvenient and would produce poor-quality surfaces with mesh aliasing,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Qitong Zhang , Jieqing Feng

We propose a new approach for 3D shape matching of deformable human shapes. Our approach is based on the joint adoption of three different tools: an intrinsic spectral matching pipeline, a morphable model, and an extrinsic details…

Computer Vision and Pattern Recognition · Computer Science 2020-09-22 Riccardo Marin , Simone Melzi , Emanuele Rodolà , Umberto Castellani

Mesh reconstruction is a cornerstone process across various applications, including in-silico trials, digital twins, surgical planning, and navigation. Recent advancements in deep learning have notably enhanced mesh reconstruction speeds.…

Image and Video Processing · Electrical Eng. & Systems 2025-05-22 Fengting Zhang , Boxu Liang , Qinghao Liu , Min Liu , Xiang Chen , Yaonan Wang

As humans, we regularly associate shape of an object with its built material. In the context of geometric modeling, however, this interrelation between form and material is rarely explored. In this work, we propose a novel data-driven…

Graphics · Computer Science 2014-11-14 Yong-Liang Yang , Jun Wang , Niloy J. Mitra

With the increase in computational power for the available hardware, the demand for high-resolution data in computer graphics applications increases. Consequently, classical geometry processing techniques based on linear algebra solutions…

Graphics · Computer Science 2024-10-08 Filippo Maggioli , Daniele Baieri , Zorah Lähner , Simone Melzi