Everything about Triangle mesh

🧭 Start here: a 6-step reading path

1. Read the overview: Triangle meshA 5-minute orientation
2. Skim a recent paper: Investigating the Impact of Triangle and Quadrangle Mesh Representations on AGV Path Planning for Various Indoor Environments: With or Without InflationInfluential work since 2022
3. Pick up a classic book: 3D math primer for graphics and game developmentThe most-reprinted book on the subject
4. Read the landmark paper: Delaunay refinement algorithms for triangular mesh generationCited 957 times
5. Go sideways: Polygon meshA closely related topic
6. Go sideways: SimplexA closely related topic

🏆 Landmark papers (most cited)

• Delaunay refinement algorithms for triangular mesh generation

  Jonathan Richard Shewchuk · 2002 · Computational Geometry · 957 citations

• Deformation transfer for triangle meshes

  Robert W. Sumner, Jovan Popović · 2004 · ACM Transactions on Graphics · 789 citations

• Decimation of triangle meshes

  William J. Schroeder, Jonathan A. Zarge, William E. Lorensen · 1992 · ACM SIGGRAPH Computer Graphics · 625 citations

• Numerical solution of the quasilinear poisson equation in a nonuniform triangle mesh

  Alan M Winslow · 1966 · Journal of Computational Physics · 500 citations

• An optimal algorithm for 3D triangle mesh slicing

  Rodrigo Minetto, Neri Volpato, Jorge Stolfi · 2017 · Computer-Aided Design · 80 citations

• Single scattering in refractive media with triangle mesh boundaries

  Bruce Walter, Shuang Zhao, Nicolas Holzschuch · 2009 · ACM Transactions on Graphics · 56 citations

• Bounded curvature triangle mesh subdivision with the convex hull property

  Charles Loop · 2002 · The Visual Computer · 43 citations

• Angle-Analyzer: A Triangle-Quad Mesh Codec

  Haeyoung Lee, Pierre Alliez, Mathieu Desbrun · 2002 · Computer Graphics Forum · 39 citations

🆕 Influential since 2022

• Investigating the Impact of Triangle and Quadrangle Mesh Representations on AGV Path Planning for Various Indoor Environments: With or Without Inflation

  Ahmadreza Meysami, Jean-Christophe Cuillière, Vincent François · 2022 · Robotics · 19 citations

• Helical tool path generation based on the triangle mesh model for a rotary four-DOF 3D printer

  Donghua Zhao, Jiapeng He, Gaohan Zhu · 2022 · Rapid Prototyping Journal · 12 citations

• Triangle-Mesh-Rasterization-Projection (TMRP): An Algorithm to Project a Point Cloud onto a Consistent, Dense and Accurate 2D Raster Image

  Christina Junger, Benjamin Buch, Gunther Notni · 2023 · Sensors · 10 citations

• IDTMM: Incremental Direct Triangle Mesh Mapping

  Jakub Niedzwiedzki, Piotr Lipinski, Leszek Podsedkowski · 2023 · IEEE Robotics and Automation Letters · 9 citations

• Convex Hull Triangle Mesh-Based Static Mapping in Highly Dynamic Environments

  Nan Du, Liangbo Xie, Mu Zhou · 2024 · IEEE Transactions on Instrumentation and Measurement · 7 citations

📚 Books worth reading

• 3D math primer for graphics and game developmentFletcher Dunn · 2002
• A treasury of knitting patternsBarbara G. Walker · 1968
• The Conspirators HierarchyJohn Coleman · 1992
• 📕Quilt improvLucie Summers · 2013
• 📕Weighted essentially non-oscillatory schemes on triangular meshesChang-Qing Hu · 1998
• Mathematical Methodologies in Pattern Recognition and Machine LearningPedro Latorre Carmona · 2012
• 📕Triangle Mesh Watermarking and SteganographyHang Zhou, Kejiang Chen · 2023
• Love TriangleMatt Parker · 2024

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

• Polygon mesh In 3D computer graphics and solid modeling, a polygon mesh is a collection of vertices, edges and faces that define the shape of a polyhedral object's…
• Simplex In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions. The simplex…
• Simplicial homology In algebraic topology, simplicial homology is the sequence of homology groups of a simplicial complex. It formalizes the idea of the number of holes of…
• Triangle strip In computer graphics, a triangle strip is a subset of triangles in a triangle mesh with shared vertices, and is a more memory-efficient method of storing…
• Deterministic acyclic finite state automaton In computer science, a deterministic acyclic finite state automaton (DAFSA), is a data structure that represents a set of strings, and allows for a query…
• Additive manufacturing file format Additive manufacturing file format (AMF) is an open standard for describing objects for additive manufacturing processes such as 3D printing. The official…
• JMesh JMesh is a JSON-based portable and extensible file format for the storage and interchange of unstructured geometric data, including discretized geometries…
• OpenCTM OpenCTM is a 3D geometry technology for storing triangle-based meshes in a compact format. OpenCTM is an open source project that has evolved around a…