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Search Results: 1 - 10 of 9931 matches for " point to plane distance "
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Range image registration using hybrid genetic algorithm and point to plane distance based measure

GAO Peng dong,PENG Xiang,LI A meng,LIU Xiao li,

计算机应用研究 , 2007,
Abstract: This paper presented a novel approach for precise registration of range images pair with an improved genetic algorithm(GA) and a new error metric based on the point to plane distance. Different to the existed ICP methods, this approach formulated the surface registration as a high dimensional optimization problem. Then combined the strategy of simulated annealing(SA) selection, hill climbing and dynamic parametric space degeneration into a GA to offer much faster convergence and more precise registration. At the same time, employed a new measure based on the point to plane distance as fitness function to evaluate the alignment error, which made the approach more robust. A number of experiments demonstrate that the presented method is insensitive to noises as well as the initial pose estimation and has high precision and fast convergence.
A Refinement of Extracting Approximate Symmetry Planes Based on Least Square  [PDF]
Jun Mao, Hiroyuki Shioya
Journal of Computer and Communications (JCC) , 2014, DOI: 10.4236/jcc.2014.24025

Extracting approximate symmetry planes is a challenge due to the difficulty of accurately measuring numerical values. Introducing the approximate symmetry planes of a 3D point set, this paper presents a new method by gathering normal vectors of potential of the planes, clustering the high probability ones, and then testing and verifying the planes. An experiment showed that the method is effective, robust and universal for extracting the complete approximate planes of symmetry of a random 3D point set.

Fixed Point Results by Altering Distances in Fuzzy Metric Spaces  [PDF]
Ibtisam Masmali, Sumitra Dalal, Nasir Rehman
Advances in Pure Mathematics (APM) , 2015, DOI: 10.4236/apm.2015.56036

We establish fixed point theorems in complete fuzzy metric space by using notion of altering distance, initiated by Khan et al. [Bull. Austral. Math. Soc. 30 (1984), 1-9]. Also, we find an affirmative answer in fuzzy metric space to the problem of Sastry [TamkangJ. Math., 31(3) (2000), 243-250].

Image Registration Technique Based on a Fast CPD Algorithm  [PDF]
Wei Guang Liu, Tian Wang
Journal of Computer and Communications (JCC) , 2015, DOI: 10.4236/jcc.2015.35023

The Coherent Point Drift (CPD) algorithm which based on Gauss Mixture Model is a robust point set registration algorithm. However, the selection of robustness weight which used to describe the noise may directly affect the point set registration efficiency. For resolving the problem, this paper presents a CPD registration algorithm which based on distance threshold constraint. Before the point set registration, the inaccurate template point set by resampling become the initial point set of point set matching, in order to eliminate some points that the distance to target point set is too close and too far in the inaccurate template point set, and set the weights of robustness as . In the simulation experiments, we make two group experiments: the first group is the registration of the inaccurate template point set and the accurate target point set, while the second group is the registration of the accurate template point set and the accurate target point set. The results of comparison show that our method can solve the problem of selection for the weight. And it improves the speed and precision of the original CPD registration.

Research on Algorithm of the Point Set in the Plane Based on Delaunay Triangulation  [PDF]
Bin Yang, Shuyuan Shang
American Journal of Computational Mathematics (AJCM) , 2012, DOI: 10.4236/ajcm.2012.24046

In the paper, an improved algorithm is presented for Delaunay triangulation of the point-set in the plain. Based on the original algorithm, we propose the notion of removing circle. During the process of triangulation, and the circle dynamically moves, the algorithm which is simple and practical, therefore evidently accelerates the process of searching a new point, while generating a new triangle. Then it shows the effect of the algorithm in the finite element mesh.

Research on the Arrangement of Dew Point Temperature Detectors of Capillary Plane Radiation Air-Conditioning  [PDF]
Xuelai Liu, Jie Wu
Journal of Power and Energy Engineering (JPEE) , 2014, DOI: 10.4236/jpee.2014.24012
Abstract: Based on analysis of the reason and process of condensation on ceiling radiant cooling panels, two kinds of arrangement of detectors are put forward. The physical model is established, the results show that detectors are arranged as the form of triangle is more suitable. It can not only satisfy the use requirement but also it is economical and practical. Finally we can conclude that the inlet water temperature 0.5°C higher than dew point temperature is safe and reliable.

Lecture Notes of Möbuis Transformation in Hyperbolic Plane  [PDF]
Rania B. M. Amer
Applied Mathematics (AM) , 2014, DOI: 10.4236/am.2014.515215

In this paper, I have provided a brief introduction on M?bius transformation and explored some basic properties of this kind of transformation. For instance, M?bius transformation is classified according to the invariant points. Moreover, we can see that M?bius transformation is hyperbolic isometries that form a group action PSL (2, R) on the upper half plane model.

On the Probable Cause of the Discrepancies between Hipparcos and VLBI Pleiades Distance Measurements  [PDF]
Ernst Karl Kunst
Natural Science (NS) , 2014, DOI: 10.4236/ns.2014.617120
Abstract: It will show, a recent extension of special relativity on the grounds of a novel concept of velocity, which also predicts the speed of transversal motions on the plane of the sky to increase with enduring observation time, to fully explain the differences of the observational results of the former experiments referring to the distance of the Pleiades from Earth.
Limit Theory of Model Order Change-Point Estimator for GARCH Models  [PDF]
Irene W. Irungu, Peter N. Mwita, Antony G. Waititu
Journal of Mathematical Finance (JMF) , 2018, DOI: 10.4236/jmf.2018.82027
Abstract: The limit theory of a change-point process which is based on the Manhattan distance of the sample autocorrelation function with applications to GARCH processes is examined. The general theory of the sample autocovariance and sample autocorrelation functions of a stationary GARCH process forms the basis of this study. Specifically the point processes theory is utilized to obtain their weak convergence limit at different lags. This is further extended to the change-point process. The limits are found to be generally random as a result of the infinite variance.
Multiple Criteria Decision Making With Compromise Programming
International Journal of Engineering Science and Technology , 2012,
Abstract: This paper is concerned with the exposition of the logical structure of the most commonly used MCDM technique compromise programming and to show how it can be used to model the decision process. The concept of ideal or Utopian solution is introduced and taken as the reference point for the analysis. The concept of Lp metric is used in finding the optimal solution. An example is given for illustration.
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