1 edition of **Optimal triangulation in the presence of range errors** found in the catalog.

Optimal triangulation in the presence of range errors

A. A. Goldstein

- 296 Want to read
- 31 Currently reading

Published
**1986**
by Naval Postgraduate School in Monterey, California
.

Written in English

The problem of determining the location of a fixed point using range only data occurs in a variety of areas including military applications. An example is outlined and formed the incentive for the work herein. The application consisted of precisely locating hydrophones placed on a ship"s null for the purpose of receiving acoustic signals to be used in calculating torpedo positions during a test. In this paper a method is developed which under the assumption of fixed system error input (in range data) produces the smallest possible error in locating the hydrophones. The goal is to determine the coordinates of a point in 3-dimensional space. For the purpose of simplicity this document first investigates the 2-dimensional version of this problem and then extends it to the 3-dimensional case.

**Edition Notes**

Statement | by A. A. Goldstein [and] I. Bert Russak |

Contributions | Russak, Ira Bert, Naval Postgraduate School (U.S.) |

The Physical Object | |
---|---|

Pagination | 11 p. : |

Number of Pages | 11 |

ID Numbers | |

Open Library | OL25455654M |

OCLC/WorldCa | 472215892 |

Real-time locating systems (RTLS) are used to automatically identify and track the location of objects or people in real time, usually within a building or other contained ss RTLS tags are attached to objects or worn by people, and in most RTLS, fixed reference points receive wireless signals from tags to determine their location. Examples of real-time locating systems include. Chapter 6 Optical Triangulation Range Sensors N. E. Pears1 Department of Engineering Science, University of Oxford. Introduction The close range man˙uvres of an autonomous vehicle such as obstacle avoidance, parking and docking require range sensing which is robust, high bandwidth and accu-rate at short ranges.

since and research books specifically focusing on triangulation. Findings: Triangulation is the combination of at least two or more theoretical perspectives, methodological approaches, data sources, investigators, or data analysis methods. The intent of using triangulation is to decrease, negate, or counterbalance the deficiency of a singleFile Size: KB. Use triangulation to create an in-memory representation of any 2-D or 3-D triangulation data that is in matrix format, such as the matrix output from the delaunay function or other software tools. When your data is represented using triangulation, you can perform topological and geometric queries, which you can use to develop geometric ntricToCartesian: Convert coordinates from barycentric to Cartesian.

and triangulation errors using synthetically generated imagery having a known "truth" location for targets. Sridhar and Suorsa [21] compare errors in range estimation for two sensor triangulation with those for a single moving sensor using optical flow and object size change as . Introduction. Line triangulation [], [] refers to the process of determining a 3D line given its projections in two or more images and the corresponding camera one of the fundamental problems in computer vision, this problem is trivial in theory, since the corresponding 3D line is the intersection of the back-projection planes of the image by: 2.

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This paper is essentially a subset of the report NPS by I.B. Russak and A. Goldstein with modifications made to the proof of the optimal ity of the three dimensional triangulation. The problem of determining the location of a fixed point using range only data occurs in a variety of areas including military : A.

Goldstein and Ira Bert Russak. Dynamic programming and optimal triangulation 1. Three seemingly unrelated problems. Optimal scheduling of matrix multiplications. Matrices (two-dimensional arrays) can be multiplied by the standard formulas from linear algebra: if A*B=C, then C[i,k] = sum A[i,j]*B[j,k].

Edelsbrunner H, Tan TS, Waupotitsch R () An O(n 2 logn) time algorithm for the minmax angle triangulation. SIAM J Sci Stat Comput 13(4)– CrossRef zbMATH MathSciNet Google Scholar 6. ertices. An optimal triangulation is one that is b est according to some criterion that measures the size, shap e, or n um b er of simplices.

An example illustrates the complemen tary relationship of mesh generation and optimal triangulation. Numerical-analysis folklore had long held that nite elemen t meshes should a v oid elemen ts with sharp angles.

Remark. In Figure 2, we give examples of how the first three circumstances result in range errors even for an ideal triangulation system with infinite sensor resolution and perfect calibration.

For purposes of illustration, we omit the imaging optics of Figure 1 and treat. The optimal triangulation problem with two views is addressed by Hartley et al.

[14] by solving a polynomial of degree 6 and also by other researchers [15], [16]. For the case of three views, it has been shown in [17] that the optimal triangulation problem involves solving a polynomial of degree Cited by: 8. the LOS errors are also linear functions of the sensor to target range, as indicated by writing them as (rc).

Reference [3] contains graphs of the values of theFile Size: KB. A practical algorithm for L1 triangulation with outliers Hongdong Li RSISE, Australian National University VISTA, National ICT Australia Abstract This paper addresses the problem of robust optimal multi-view triangulation.

We propose an abstract frame-work, as well as a practical algorithm, which ﬁnds the best. AN OPTIMAL METHOD OF TRIANGULATION tion, then it is clearly desirable to use an afﬁne- (resp. projective)-invariant triangulation method to compute the In this section, we describe a method of triangulation 3D space points.

that ﬁnds the global minimum of the cost function (2) usingFile Size: KB. quantitative!data!are!methodologically!rbothmethodshavesimilarobjectivesandscope.

Dzurec!and!Abraham!()!note!that!both!qualitative!and. A triangulation of a given set S of n points in the Euclidean plane is a maximal set of noncrossing line segments (called edges) which have both endpoints in triangulation of S partitions the interior of the convex hull of S into triangles.

Triangulations are used in many areas of engineering and scientific applications such as finite element methods, approximation theory, numerical. BibTeX @MISC{Aurenhammer99optimaltriangulations, author = {Franz Aurenhammer and Yinfeng Xu}, title = {Optimal Triangulations}, year = {}}.

Optimal Triangulation for the Geeks detected image points x, ydo not satisfy epipolar geometry exactly as a result optical rays do not intersect in space, we must correct the image points to ^x, ^y rstFile Size: 1MB.

Robust multi-view L2 triangulation via optimal inlier selection and 3D structure refinement Article in Pattern Recognition 47(9)– September with Reads How we measure 'reads'.

Triangulation can be extremely toxic and, unfortunately, very contagious. It’s very easy to fall into the trap of just complaining about the complainers and not putting a stop to the dynamics—particularly if you’re in a culture that rewards this behavior.

You may or may not be able to eliminate triangulation from your culture. SIAM J. SCI. COMPUT. c Society for Industrial and Applied Mathematics Vol. 36, No.

3, pp. A–A REVISITING OPTIMAL DELAUNAY TRIANGULATION FOR 3D GRADED. errors are more suitable than the image reprojection errors [22,26]. Also, formulating the triangulation problem in terms of angular errors leads to much simpler ML solutions [19,26]. Although the existing optimal methods can provide relatively good 3D results in many cases [15,19], none of them are theoretically optimal in terms of 3D by: 1.

Effective clinical practice must not focus only on technological system issues, but also on the human factor. As shown in this chapter,good communication encourages collaboration and helps prevent errors.

It is important for health care organizations to assess possible setups for poor communication and be diligent about offering programs and outlets to help foster team by: Instrumentation and Control Systems addresses the basic principles of modern instrumentation and control systems, including examples of the latest devices, techniques and applications in a clear and readable style.

Unlike the majority of books in this field, only a minimal prior knowledge of mathematical methods is assumed. The triangulation domain is the region that a user wishes to triangulate. For mesh generation, a PSLG must be segment-bounded, meaning that segments of the PSLG entirely cover the boundary separating the triangulation domain from its complement, the exterior domain.

A triangulation domain need not be convex, and it may enclose untriangulated holes,File Size: KB. The range camera, which is based upon an auto-synchronized triangulation scheme, can measure objects from about m to m.

The field of view is 30 degree(s) X 30 degree(s).(classic problem) Definition: Find the triangulation with the greatest overall minimum angle.

There is an incremental algorithm that takes O(n log n) time. See also optimal polygon triangulation problem. Note: Triangulation is breaking up an area into triangles.

The goal is to make all the triangles as close to equilateral as possible.triangulation. If the edge between pi−1 and pi+1 is outside the existing boundary, include the triangle in the triangulation and update the boundary.

Repeat this step until no more triangles can be added. The resulting triangulation has a convex boundary and all points are included in the triangulation.