- On
**Shortest Paths in Polyhedral**Spaces | SIAM Journal on ...(2015) Querying visible points in large**obstructed**space. GeoInformatica 19:3, 435-461. ... Paths, 231-309. (2010) Algorithms for Approximate**Shortest Path**Queries on Weighted**Polyhedral**Surfaces. ... V3-97-V3-100. (2010) An Optimal- Time Algorithm for**Shortest Paths**on Realistic**Polyhedra**. .... (1997)**Environment**representation using enclosed obstacles and minimum- ...*epubs.siam.org/doi/abs/10.1137/0215014* - New Results on
**Shortest Paths**in Three Dimensions - Applied ...cles in the plane,**shortest paths**in a**polyhedral**domain need not lie on a ..... is the construction of a planar L1-**shortest path**in a polygonal**environment**, which ..... the (purple/medium gray) type I q-rectangle R2,**unobstructed**. In contrast, the ...*www.ams.sunysb.edu/~jsbm/papers/p166-mitchell.pdf* - Approximating
**Shortest Paths**on a Nonconvex**Polyhedron**Computing a shortest path on a polyhedral surface is a central problem in numerous areas, including ...... 3] V. Akman,**Unobstructed Shortest Paths in****Polyhedral Environments**, Lecture Notes in Computer Sci- ence, vol. 251 ...*www.cs.duke.edu/~pankaj/publications/.../terr-short.pdf* **Shortest paths**in the plane with polygonal obstaclesmozlev's problem allows the object to be moved to consist of a collection of**polyhedra**freely linked together at various ... algorithm for finding**shortest paths**in the plane is to construct a graph containing one vertex for each obstacle vertex .... provides a simple machine independent**environment**in which to study practical constructive computational geomet~ .....**obstructed**by ...*users.cs.duke.edu/~reif/paper/.../shotest***path**plane.pdf- Deriving an Obstacle-Avoiding
**Shortest Path**in Continuous Space ...path in continuous space has been referred to as Euclidean**shortest path**(ESP), and attracted the attention ..... performance of the convexpath algorithm in a high density obstacle**environment**. Although convexpath ....**Unobstructed**travel is often assumed in most continuous space location models. Obstacles/barriers ...... A reduction result for location problems with ...*repository.asu.edu/.../Hong_asu_0010E_14943.pdf* - Efficient Energy Flight
**Path**Planning Algorithm Using 3-D ... - HindawiReif and Storer [32] proposed the algorithm for finding the**shortest path**in the 3-D**environment**in a single exponential ... The line of sight checking algorithm considers an obstacle as a convex**polyhedron**Ω consisting a set of ...*www.hindawi.com/journals/ijae/2017/2849745/* - Pursuit Evasion on
**Polyhedral**Surfaces - UCSB Computer Science“straight line”**shortest paths**in the**unobstructed**planar arena to geodesics on the**polyhedral**surface; in the ... The geometric**environment**for our pursuit-evasion problem is the (closed) surface of a 3-dimensional**polyhedron**...*sites.cs.ucsb.edu/~suri/psdir/isaac13Pursuit.pdf* - ANY-ANGLE
**PATH**PLANNING by Alex Nash A Dissertation ...find-path algorithms to be both longer and less realistic looking than the true**shortest paths**(that is, the**shortest paths**in ..... tices is**unobstructed**. ...... type of regular**polyhedron**can be used to tessellate a continuous 3D**environment**, namely.*idm-lab.org/bib/abstracts/papers/dissertation-nash.pdf* - Geodesic Methods in Computer Vision and Graphics - Now Publishersgeodesic curves (local length minimizers) and shortest paths (global ... infinite number of shortest paths between two antipodal points on a sphere. Full text available ..... [3] V. Akman,
**Unobstructed Shortest Paths in Polyhedral****Environments**.*www.nowpublishers.com/article/.../CGV-029*