In computational geometry, polygon triangulation is the partition of a polygonal area (simple polygon) P into a set of triangles, i.e., finding a set of triangles with pairwise non-intersecting interiors whose union is P. Triangulations may be viewed as special cases of planar straight-line graphs..
In computational geometry, polygon triangulation is the partition of a polygonal area (simple polygon) P into a set of triangles, i.e., finding a set of triangles with pairwise non-intersecting interiors whose union is P. Triangulations may be viewed as special cases of planar straight-line graphs.
Point location is a well-studied problem in computational geometry with many applications in geometric information systems and computer-aided design. In general terms, the problem is to find which element of a given object contains a given query point.
Edge: Each undirected edge is represented as two directed edges. Each edge has a pointer to the oppositely directed edge, called its twin. Each directed
Visit all the edges around a given vertex. ❑ DCEL. Geometric structures combined by polygonal faces, edges and vertices. Linear space representation. Allow
What is computational geometry?
Computational Geometry is a forum for research in theoretical and applied aspects of computational geometry
The journal publishes fundamental research in all areas of the subject, as well as disseminating information on the applications, techniques, and use of computational geometry
What is numerical computation of shortest paths / geodesics on curved domains?
Numerical computation of shortest paths or geodesics on curved domains, as well as the associated geodesic distance, arises in a broad range of applications across digital geometry processing, scientific computing, computer graphics, and computer vision
What is the length of an edge (Uvin E)?
The length of an edge \(uv\in E\)in (G, p) is the distance between p(u) and p(v)
The framework is said to be globally rigid in \(\mathbb {R}^d\)if every other d-dimensional framework (G, q), in which the corresponding edge lengths are the same, is congruent to (G, p)
The doubly connected edge list (DCEL), also known as half-edge data structure, is a data structure to represent an embedding of a planar graph in the plane, and polytopes in 3D. This data structure provides efficient manipulation of the topological information associated with the objects in question. It is used in many algorithms of computational geometry to handle polygonal subdivisions of the plane, commonly called planar straight-line graphs (PSLG). For example, a Voronoi diagram is commonly represented by a DCEL inside a bounding box.
Edge computational geometry
Computer-aided design software
Solid Edge is a 3D CAD, parametric feature and synchronous technology solid modeling software. It runs on Microsoft Windows and provides solid modeling, assembly modelling and 2D orthographic view functionality for mechanical designers. Through third party applications it has links to many other Product Lifecycle Management (PLM) technologies.
In solid geometry
Polyhedron defined by two triangles and three trapezoid faces
In solid geometry, a wedge is a polyhedron defined by two triangles and three trapezoid faces. A wedge has five faces, nine edges, and six vertices.
