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Interval methods in geometric modeling

A. Bowyer, J. Berchtold, D. Eisenthal, I. Voiculescu, K. Wise
2000 Proceedings Geometric Modeling and Processing 2000. Theory and Applications  
This paper is about using interval computations in location, simplification, and root-finding for multivariate implicit functions that are used as shape primitives in a settheoretic (that is, a CSG) geometric  ...  Examples are presented for both conventional threedimensional geometric models and for CSG models in higher dimensions representing configuration-space maps for moving and colliding three-dimensional objects  ...  Using intervals to locate complicated surfaces for geometric modeling Many methods of geometric modeling use the zeros of implicit functions to define shapes in three dimensions.  ... 
doi:10.1109/gmap.2000.838263 dblp:conf/gmp/BowyerBEVW00 fatcat:bhi3xcg33jduhfj3ksmj7xwxbu

Study of the structure size interval of incomplete geometrically similitude model of the elastic thin plates

Zhong Luo, Yunpeng Zhu, You Wang, Xueyan Zhao
2013 Journal of Measurements in Engineering  
interval (each order of the mode keep the same) and the predict interval of frequency, the method of structure size applicable interval of distorted similar model was obtained, which they were in different  ...  (incomplete geometrically) similar model was proposed.  ...  The flow of determination method The flow chart about determination of geometric applicable intervals of elastic thin plates' similar models is shown in Fig. 9 .  ... 
doaj:2e2374a06ebf4abfb4b41c7e2872aec0 fatcat:l3xoxixp2ngtdew6huapdvhr5a

A New Method for Geometric Quality Evaluation of Remote Sensing Image Based on Information Entropy

W. Jiao, T. Long, G. Yang, G. He
2014 The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences  
A new method of geometric quality evaluation of remote sensing image based on the information entropy is proposed in this paper.  ...  The effective factors of the geometrical accuracy are analysed and the geometric qualities of the image are evaluated in various situations.  ...  Furthermore, the geometric accuracy is also affected by the method of geometric model optimization and parameter solving (Long, et al, 2014a , Jiao, et al, 2013 .  ... 
doi:10.5194/isprsarchives-xl-2-63-2014 fatcat:czlb7f47crd4banmppbbkjiaum

Fuzzy E.O.Q model with constant demand and shortages: A fuzzy signomial geometric programming (FSGP) approach

Wasim Akram Mandal, Sahidul Islam
2017 Independent Journal of Management & Production  
Here the model is solved by fuzzy signomial geometric programming (FSGP) technique.  ...  In this paper, a fuzzy economic order quantity (E.O.Q) model with shortages under fully backlogging and constant demand is formulated and solved.  ...  A solution method of posynomial geometric programming with interval exponents and coefficients was developed by Liu (2008 Roy (2015) presented optimum shape design of structural model with imprecise  ... 
doi:10.14807/ijmp.v8i4.640 fatcat:kundd3thbvhynndwlgwgh25o3i

A Geometric Accuracy Error Analysis Method for Turn-Milling Combined NC Machine Tool

Pengzhong Li, Ruihan Zhao, Liang Luo
2020 Symmetry  
As an important means in the design stage, the analysis method of geometric accuracy error is also different from the traditional method.  ...  With the interval theory, the function rule of sensitivity of geometric error sources to spatial errors was analyzed in detail, and the global maximum interval sensitivity of nine geometric error sources  ...  The key to research in error modeling techniques is to find a more effective modeling method to accurately reflect the error of the machine tool through the established model.  ... 
doi:10.3390/sym12101622 fatcat:yqi6udtwl5dbva6g6ljzym5aqi

Multi-objective Fuzzy Reliability Optimization Model: A Parametric Geometric Programming Approach

Tanmay Kundu, Sahidul Islam
2016 Journal of Fuzzy Set Valued Analysis  
Here, the nearest interval approximation method is applied to make the fuzzy model in crisp in nature.  ...  There are two types of parametric geometric programming technique is used to solve the proposed model.  ...  Acknowledgement The authors wish to acknowledge the University of Kalyani for financial support through the university research scholarship (URS) and DST-PURSE in the Department of Mathematics, University  ... 
doi:10.5899/2016/jfsva-00308 fatcat:hxvo4n44gnbnlp7h4bzymsngri

Multi Objective Geometric Programming with Interval Coefficients: A Parametric Approach

Zeinab Mousavi, Mansour Saraj
2019 Earthline Journal of Mathematical Sciences  
This paper considers a solution method when the cost, the constraint coefficients, and the right-hand sides in the multi-objective geometric programming problems are imprecise and represented as interval  ...  This problem is reduced with the method of weighted sum to a single objective function and further by applying interval-valued function, we solve the problem by geometric programming technique.  ...  In this paper, by applying weighted method, a multiobjective geometric programming is converted to a single objective geometric programming problem in which parameters are interval valued numbers.  ... 
doi:10.34198/ejms.2219.395407 fatcat:7yrsg7ketfd3xgy5mxspa5soke

On the use of interval arithmetic in geometric branch and bound algorithms

T.M. Breuel
2003 Pattern Recognition Letters  
Branch and bound methods have become established methods for geometric matching over the last decade.  ...  This paper presents techniques that improve on previous branch and bound methods in two important ways: they guarantee reliable solutions even in the presence of numerical roundoff error, and they eliminate  ...  In summary, these benchmarks on 2D geometric matching suggest that global optimization of likelihood functions as they arise in geometric matching problems using branch and bound methods and interval arithmetic  ... 
doi:10.1016/s0167-8655(02)00378-1 fatcat:xhvm5h44cfhupa257msv7mz5jm

Optimum shape design of structural model with imprecise coefficient by parametric geometric programming

Samir Dey, Tapan Kumar Roy
2015 Decision Science Letters  
In this paper, we transform this interval number to a parametric interval-valued functional form and then solve the parametric problem by geometric programming technique.  ...  Here we use nearest interval approximation method to convert a triangular fuzzy number to an interval number.  ...  fuzzy model by interval-valued parametric geometric programming is presented in Table 2 .  ... 
doi:10.5267/j.dsl.2015.3.002 fatcat:2lioi6v7yzed3garwg57rrieie

Fuzzy unconstrained Parametric Geometric programming problem and its application

Wasim Akram Mandal, Sahidul Islam
2016 Journal of Fuzzy Set Valued Analysis  
Here we use nearest interval approximation method to convert a triangular fuzzy number to an interval number.  ...  In this paper, we transform this interval number to a parametric interval-valued functional form and then solve the parametric problem by geometric programming technique.  ...  The optimal solution of the fuzzy model by interval-valued parametric geometric programming is presented in Table 6 .  ... 
doi:10.5899/2016/jfsva-00301 fatcat:5rkbqifz7ja5hagsvukcahs2ry

More precise methods for national research citation impact comparisons

Ruth Fairclough, Mike Thelwall
2015 Journal of Informetrics  
In response, this article introduces two new methods to identify national differences in average citation impact, one based on linear modelling for normalised data and the other using the geometric mean  ...  The regression method has the advantage of distinguishing between national contributions to internationally collaborative articles, but has substantially wider confidence intervals than the geometric mean  ...  The second method uses geometric means directly for each country, without any modelling.  ... 
doi:10.1016/j.joi.2015.09.005 fatcat:zejdrarmajgtro37p44ntqfeaa

More Precise Methods for National Research Citation Impact Comparisons [article]

Ruth Fairclough, Mike Thelwall
2015 arXiv   pre-print
In response, this article introduces two new methods to identify national differences in average citation impact, one based on linear modelling for normalised data and the other using the geometric mean  ...  The regression method has the advantage of distinguishing between national contributions to internationally collaborative articles, but has substantially wider confidence intervals than the geometric mean  ...  The second method uses geometric means directly for each country, without any modelling.  ... 
arXiv:1509.06184v1 fatcat:334qulgannfjfbefxofeu7dykm

Study on the effect of fractures on conventional induction log based on physical and numerical simulation

Zeyu Nan, Jun Li, Wenna Zhou
2016 Acta Geodaetica et Geophysica  
Secondly, the geometric factor theory has been used to find the minimum fracture width that the conventional induction log could identify, and the minimum interval between two adjacent fractures that the  ...  Thirdly, a fracture evaluation method based on numerical simulation was proposed, and a complex model containing surrounding rock and fractures was established to test the possibility of evaluating the  ...  In order to reveal the minimum interval between two adjacent fractures that conventional induction log could identify, more numerical simulation models with various fracture intervals were built.  ... 
doi:10.1007/s40328-016-0166-4 fatcat:p7mbs7ayjjbhtlwmjxkzcui5w4

EFFECT OF GEOMETRY COMPUTATIONS AND NUMERICAL SCHEME ON THE RESISTANCE COEFFICIENT FOR UNSTEADY FLOW IN IRREGULAR CHANNELS

Moustafa A. El-Enany
2002 ERJ. Engineering Research Journal  
The purpose of this study is to demonstrate the response of the applied method of irregular geometric properties computation, the used numerical scheme, and the distance interval adopted in the numerical  ...  The rectangular grid scheme of the method of characteristics is applied with different methods of irregular geometric properties computation and different value of distance interval.  ...  There are different methods to simulate the measured geometric properties of cross sections in the numerical model.  ... 
doi:10.21608/erjm.2001.70952 fatcat:easzi6vggnaolkny3cbbsh56vq

3D object indexing and recognition

Saliha Aouat, Nacéra Laiche, Feryel Souami, Slimane Larabi
2008 Applied Mathematics and Computation  
In this paper, we address the problem of 3D object recognition from a single 2D image using models database. We propose a method based on geometric quasi-invariant features of the 2D images.  ...  We index the 2D images in a model base using a modified quad-tree technique that enhance the research process.  ...  Conclusion We have presented a method to index and efficiently retrieve an object in the presence of a geometric model base.  ... 
doi:10.1016/j.amc.2007.05.062 fatcat:iyg3z3fxeze73hje5brxmh555y
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