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In 3D computer graphics and solid modeling, a polygon mesh is a collection of vertices, edges and faces that defines the shape of a polyhedral object. The faces usually consist of triangles (triangle mesh), quadrilaterals (quads), or other simple convex polygons (n-gons), since this simplifies rendering, but may also be more generally composed of concave polygons, or even polygons with holes.
The study of polygon meshes is a large sub-field of computer graphics (specifically 3D computer graphics) and geometric modeling. Different representations of polygon meshes are used for different applications and goals. The variety of operations performed on meshes may include: Boolean logic (Constructive solid geometry), smoothing, simplification, and many others. Algorithms also exist for ray tracing, collision detection, and rigid-body dynamics with polygon meshes. If the mesh's edges are rendered instead of the faces, then the model becomes a wireframe model.
Volumetric meshes are distinct from polygon meshes in that they explicitly represent both the surface and volume of a structure, while polygon meshes only explicitly represent the surface (the volume is implicit).
Several methods exist for mesh generation, including the marching cubes algorithm.[1]
^Lorensen, William E.; Cline, Harvey E. (1 August 1987). "Marching cubes: A high resolution 3D surface construction algorithm". ACM SIGGRAPH Computer Graphics. 21 (4): 163–169. CiteSeerX 10.1.1.545.613. doi:10.1145/37402.37422.
In 3D computer graphics and solid modeling, a polygonmesh is a collection of vertices, edges and faces that defines the shape of a polyhedral object....
graphics, polygonal modeling is an approach for modeling objects by representing or approximating their surfaces using polygonmeshes. Polygonal modeling...
Low poly is a polygonmesh in 3D computer graphics that has a relatively small number of polygons. Low poly meshes occur in real-time applications (e.g...
solid polygons, a polygon may refer only to a simple polygon or to a solid polygon. A polygonal chain may cross over itself, creating star polygons and...
In computer graphics, a triangle mesh is a type of polygonmesh. It comprises a set of triangles (typically in three dimensions) that are connected by...
computer graphics, a polygonizer is a software component for converting a geometric model represented as an implicit surface to a polygonmesh. Bloomenthal,...
coarser polygonmesh and produced by a recursive algorithmic method. The curved surface, the underlying inner mesh, can be calculated from the coarse mesh, known...
in video game AI in 2000. A navigation mesh is a collection of two-dimensional convex polygons (a polygonmesh) that define which areas of an environment...
created as a polygonmesh using a 3D modeller, UV coordinates (also known as texture coordinates) can be generated for each vertex in the mesh. One way is...
can also be performed on polygonalmeshes, and may or may not be procedural and/or parametric. Contrast CSG with polygonmesh modeling and box modeling...
cloud of points on the surface of a three-dimensional object into a polygonmesh for the object can be solved by a technique called marching triangles...
identification of the Sabouroff head, which made use of a high-resolution polygonmesh. In dialectometry, Voronoi cells are used to indicate a supposed linguistic...
points at its center, vertex, and co-vertex. A Polyhedron or Polygonmesh is a set of polygon faces in three-dimensional space that are connected at their...
thickness with no holes or cracks in the first and last layer printed. Polygonalmeshes (and to a lesser extent subdivision surfaces) are by far the most common...
Creating polygonmesh models for rapid prototyping (to aid surgeons preparing for difficult surgeries, for example) Combining polygonmesh models with...
the mesh. These are combinatoric in nature and encode the topology of the shape. In addition to triangles, a more general class of polygonmeshes can...
surfaces represented by polygonmeshes. In practice, Gouraud shading is most often used to achieve continuous lighting on triangle meshes by computing the lighting...
Mesh generation is the practice of creating a mesh, a subdivision of a continuous geometric space into discrete geometric and topological cells. Often...
volumetric meshes are a polygonal representation of the interior volume of an object. Unlike polygonmeshes, which represent only the surface as polygons, volumetric...
d\rho \,d\theta \,d\varphi .} A polygonmesh is a representation of the object's surface, using polygons. The volume mesh explicitly define its volume and...
character's visual representation (the mesh) in a process called skinning. In the most common case of a polygonalmesh character, the bone is associated with...
of curves and freeform surfaces in computer graphics (as opposed to polygonmesh-based applications). Rhinoceros is used for computer-aided design (CAD)...
isosurfaces (surfaces of equal values) from the volume and rendering them as polygonalmeshes or by rendering the volume directly as a block of data. The marching...