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As an important metric for mesh quality evaluation, the isotropy property holds significant value for applications such as texture UV-mapping, physical simulation, and discrete geometric analysis. Classical isotropy remeshing methods adjust…

Computational Geometry · Computer Science 2025-08-05 Hanbing Zheng , Chenlei Lv

Learning a dense 3D model with fine-scale details from a single facial image is highly challenging and ill-posed. To address this problem, many approaches fit smooth geometries through facial prior while learning details as additional…

Computer Vision and Pattern Recognition · Computer Science 2022-03-21 Xingyu Ren , Alexandros Lattas , Baris Gecer , Jiankang Deng , Chao Ma , Xiaokang Yang , Stefanos Zafeiriou

We present a new pipeline for acquiring a textured mesh in the wild with a single smartphone which offers access to images, depth maps, and valid poses. Our method first introduces an RGBD-aided structure from motion, which can yield…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Jaehoon Choi , Dongki Jung , Taejae Lee , Sangwook Kim , Youngdong Jung , Dinesh Manocha , Donghwan Lee

We study the problem of moving a vertex in an unstructured mesh of triangular, quadrilateral, or tetrahedral elements to optimize the shapes of adjacent elements. We show that many such problems can be solved in linear time using…

Computational Geometry · Computer Science 2010-01-21 Nina Amenta , Marshall Bern , David Eppstein

Neural Radiance Fields (NeRF) have constituted a remarkable breakthrough in image-based 3D reconstruction. However, their implicit volumetric representations differ significantly from the widely-adopted polygonal meshes and lack support…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Jiaxiang Tang , Hang Zhou , Xiaokang Chen , Tianshu Hu , Errui Ding , Jingdong Wang , Gang Zeng

We are interested in reconstructing the mesh representation of object surfaces from point clouds. Surface reconstruction is a prerequisite for downstream applications such as rendering, collision avoidance for planning, animation, etc.…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Minghua Liu , Xiaoshuai Zhang , Hao Su

We derive the implicit equations for certain parametric surfaces in three-dimensional projective space termed tensor product surfaces. Our method computes the implicit equation for such a surface based on the knowledge of the syzygies of…

Commutative Algebra · Mathematics 2019-08-07 Eliana Duarte , Alexandra Seceleanu

We present a practical approach for constructing meshes of general rough surfaces with given autocorrelation functions based on the unstructured meshes of nominally smooth surfaces. The approach builds on a well-known method to construct…

Computational Physics · Physics 2020-02-04 Fabian Loth , Thomas Kiel , Kurt Busch , Philip T. Kristensen

This paper presents a new method to generate iso-scallop tool paths for triangular mesh surfaces. With the popularity of 3D scanning techniques, scanning-derived mesh surfaces have seen a significant increase in their application to…

Graphics · Computer Science 2020-04-21 Qiang Zou

We present a suite of techniques for jointly optimizing triangle meshes and shading models to match the appearance of reference scenes. This capability has a number of uses, including appearance-preserving simplification of extremely…

Graphics · Computer Science 2021-04-12 Jon Hasselgren , Jacob Munkberg , Jaakko Lehtinen , Miika Aittala , Samuli Laine

Very recently neural implicit rendering techniques have been rapidly evolved and shown great advantages in novel view synthesis and 3D scene reconstruction. However, existing neural rendering methods for editing purposes offer limited…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Bangbang Yang , Chong Bao , Junyi Zeng , Hujun Bao , Yinda Zhang , Zhaopeng Cui , Guofeng Zhang

We present a method for generating orthogonal quadrilateral meshes subject to user-defined feature alignment and sizing constraints. The approach relies on computing integrable orthogonal frame fields, whose symmetries are implicitly…

Computational Geometry · Computer Science 2026-04-07 Mattéo Couplet , Alexandre Chemin , David Bommes , Edward Chien

We propose a differentiable sphere tracing algorithm to bridge the gap between inverse graphics methods and the recently proposed deep learning based implicit signed distance function. Due to the nature of the implicit function, the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Shaohui Liu , Yinda Zhang , Songyou Peng , Boxin Shi , Marc Pollefeys , Zhaopeng Cui

Isocontouring is one of the most widely used visualization techniques. However, many popular contouring algorithms were created prior to the advent of ubiquitous parallel approaches, such as multi-core, shared memory computing systems. With…

Graphics · Computer Science 2024-01-29 Will Schroeder , Spiros Tsalikis , Michael Halle , Sarah Frisken

Real-time 3D reconstruction from RGB-D sensor data plays an important role in many robotic applications, such as object modeling and mapping. The popular method of fusing depth information into a truncated signed distance function (TSDF)…

Computer Vision and Pattern Recognition · Computer Science 2019-08-15 Malte Splietker , Sven Behnke

This paper presents TexRO, a novel method for generating delicate textures of a known 3D mesh by optimizing its UV texture. The key contributions are two-fold. We propose an optimal viewpoint selection strategy, that finds the most…

Computer Vision and Pattern Recognition · Computer Science 2024-05-13 Jinbo Wu , Xing Liu , Chenming Wu , Xiaobo Gao , Jialun Liu , Xinqi Liu , Chen Zhao , Haocheng Feng , Errui Ding , Jingdong Wang

Randomly sampling points on surfaces is an essential operation in geometry processing. This sampling is computationally straightforward on explicit meshes, but it is much more difficult on other shape representations, such as widely-used…

Graphics · Computer Science 2025-06-16 Selena Ling , Abhishek Madan , Nicholas Sharp , Alec Jacobson

Electromagnetic metasurfaces have attracted significant interest recently due to their low profile and advantageous applications. Practically, many metasurface designs start with a set of constraints for the radiated far-field, such as…

Materials Science · Physics 2022-04-04 Stewart Pearson , Parinaz Naseri , Sean V. Hum

We describe a hidden surface removal algorithm for two-dimensional layered scenes built from arbitrary primitives, particularly suited to interaction and animation in rich scenes (for example, in illustration). The method makes use of a…

Graphics · Computer Science 2024-11-04 John Whitington

Rendering is the process of generating 2D images from 3D assets, simulated in a virtual environment, typically with a graphics pipeline. By inverting such renderer, one can think of a learning approach to predict a 3D shape from an input…

Computer Vision and Pattern Recognition · Computer Science 2019-01-24 Shichen Liu , Weikai Chen , Tianye Li , Hao Li