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Alternative Way to Compute the Euler Number of a Binary Image

J. H. Sossa-Azuela, E. B. Cuevas-Jiménez, D. Zaldivar-Navarro
2011 Journal of Applied Research and Technology  
In this paper an alternative way to compute the (E) Euler number of a binary image via information about its pixels ispresented. The  ...  We kindly thank the reviewers for their comments which contributed to the improvement of this paper.  ...  Acknowledgements The authors thank SIP-IPN and CONACYT for the economical support under grants number 20111016 and 155014.  ... 
doi:10.22201/icat.16656423.2011.9.03.428 fatcat:5pxxlzndnfedddi64ngve2nmza

Real-Time Computing of Touch Topology via Poincare–Hopf Index

Keiji Miura, Kazuki Nakada
2015 IEEE Access  
Here, we propose a fast algorithm to compute the Euler characteristics of touch shapes by using the Poincare-Hopf index for each pixel.  ...  In fact, some inventive algorithms have succeeded in computing the topological invariants, such as the number of objects or holes and irrespective of the shapes and positions of the touches.  ...  In Sec. 2, we introduce the problem setting of a binary touch image and propose a fast algorithm to compute the topology of touch shapes via Poincare Hopf index.  ... 
doi:10.1109/access.2015.2504387 fatcat:vowkoxvhgjckzbrd3na2y26l5e

A pipeline architecture for computing the Euler number of a binary image

Arijit Bishnu, Bhargab B. Bhattacharya, Malay K. Kundu, C.A. Murthy, Tinku Acharya
2005 Journal of systems architecture  
In this work, a run-based method for computing Euler number is formulated and a new hardware implementation is described.  ...  The architecture uses O(N) 2-input gates and requires O(N log N) time to compute the Euler number of an N · N image.  ...  We also take this opportunity to thank the reviewers for their constructive and critical comments that helped us to improve the paper significantly.  ... 
doi:10.1016/j.sysarc.2004.12.001 fatcat:n2g6lvm2uzbvbhtwp2bgh4lzi4

The Euler-Poincaré Formula Through Contact Surfaces of Voxelized Objects

H. Sánchez-Cruz, H. Sossa-Azuela, U-D. Braumann, E. Bribiesca
2013 Journal of Applied Research and Technology  
obtaining alternative versions of the Euler-Poincaré formula.  ...  Two new versions of the Euler-Poincaré formula are proposed considering two new defined cuboids: the tetra-voxel and the octo-voxel, without losing information on the number of vertices and edges.  ...  For alternative ways to compute the Euler number, some other interesting methods have been reported.  ... 
doi:10.1016/s1665-6423(13)71515-3 fatcat:jlxgfaglhbaxrdzad4k2qdhlja

An Experimental Comparison of Discrete and Continuous Shape Optimization Methods [chapter]

Maria Klodt, Thomas Schoenemann, Kalin Kolev, Marek Schikora, Daniel Cremers
2008 Lecture Notes in Computer Science  
The main contribution of this paper is to present a quantitative comparison of the reconstruction accuracy and computation times which allows to assess some of the strengths and limitations of both approaches  ...  Shape optimization is a problem which arises in numerous computer vision problems such as image segmentation and multiview reconstruction.  ...  Acknowledgments This research was supported by the German Research Foundation, grant #CR 250/3-1.  ... 
doi:10.1007/978-3-540-88682-2_26 fatcat:jdxsk6ecvrd5lakoryknzb4yna

Accurate finite element model of equiaxed-grain engineering material for ultrasonic inspection

Bo Xiao, Richard O'Leary, Anthony Gachagan, Wenqi Li, Timothy Burnett
2014 2014 IEEE International Ultrasonics Symposium  
Construction of such models can be computationally intensive due to the large number of crystallographic orientations required to represent the material.  ...  Parametric studies show that the trade-off between computational overhead and model accuracy will reach the optimal point when Euler space is segmented with a bin size of 15 degree per Euler phase.  ...  ACKNOWLEDGMENT The authors acknowledge support from EPSRC (EP/I021027/1) Rolls Royce, Shell, National Nuclear Laboratories, AMEC, and Weidlinger Associates under the auspices of UK RCNDE.  ... 
doi:10.1109/ultsym.2014.0337 fatcat:gxayg7jrwrcpligqiucxb52xjy

MINLP Optimization of Mechanical Structures

S. Silih, T. Zula, Z. Kravanja, S. Kravanja
2008 American Journal of Applied Sciences  
Ddiscrete binary 0-1 variables were used to express the discrete decisions.  ...  A two-phase MINLP strategy applied for the optimization to accelerate the convergence of the mentioned algorithm.  ...  ACKNOWLEDGEMENTS This research was supported by the Slovenian Research Agency through research programme P2-0129 "Development, modelling and optimization of structures and processes in civil engineering  ... 
doi:10.3844/ajassp.2008.48.54 fatcat:5xblrzpwcbfhjfmyy4jcslfdbq

Euler Sums and Contour Integral Representations

Philippe Flajolet, Bruno Salvy
1998 Experimental Mathematics  
ACKNOWLEDGEMENTS Early discussions with Brigitte Vall ee helped clarify the residue approach to the computation of Euler sums.  ...  We are grateful to Don Zagier for detailed explanations o ered to one of us at the \Combinatorics and Physics" meeting at Luminy (March 1995) and our current presentation owes much to Zagier's insights  ...  q , the kernel j yields linear relations between S 2j+1;q ; S 2j;q+1 ; : : : ; S j+1;q+j and polynomials in zeta values that are of a shape similar to the Euler{Nielsen relations.  ... 
doi:10.1080/10586458.1998.10504356 fatcat:rjvpjzeosrb5haokkyuw5kkdya

A Novel Euler's Elastica based Segmentation Approach for Noisy Images via using the Progressive Hedging Algorithm [article]

Lu Tan, Ling Li, Wanquan Liu, Jie Sun, Min Zhang
2019 arXiv   pre-print
This paper aims to establish a Euler's Elastica based approach that properly deals with random noises to improve the segmentation performance for noisy images.  ...  We solve the corresponding optimization problem via using the progressive hedging algorithm (PHA) with a step length suggested by the alternating direction method of multipliers (ADMM).  ...  Here h = 1, 2, . . . , n refer to the number of binary level set functions and i = 1, 2, . . . , N refer to the number of noise distributions.  ... 
arXiv:1902.07402v1 fatcat:roaj3b3zmjhg5mxm7idl6rqqhy

Intelligent shape recognition for complex industrial tasks

H.S. Yang, S. Sengupta
1988 Control Systems Magazine  
and the observed shape is matched to the candidate models in the order of importance of the essential features.  ...  Applications of current machine vision systems in industry demand a highly constrained environment and also limit the number of objects involved.  ...  An alternative and faster scheme exploits the additive set property of the Euler number.  ... 
doi:10.1109/37.473 fatcat:kxpbrfzp4zdjppcd46slb5as3e

Moment Constraints in Convex Optimization for Segmentation and Tracking [chapter]

Maria Klodt, Frank Steinbrücker, Daniel Cremers
2013 Advanced Topics in Computer Vision  
Convex relaxation techniques have become a popular approach to shape optimization as they allow to compute solutions independent of initialization to a variety of problems.  ...  In particular, the lower-order moments correspond to the overall area, the centroid, and the variance or covariance of the shape and can be easily imposed in interactive segmentation methods.  ...  The plot shows the number of seconds needed to compute a projection onto the moments of order 0 to k.  ... 
doi:10.1007/978-1-4471-5520-1_8 dblp:series/acvpr/KlodtSC13 fatcat:hoeng5wc65h6fpn6tfbqbwxrmq

Detection of Faults and Vibration Analysis in Beam Structures - A Review

2021 INCAS Bulletin  
The application of piezoelectric material on structures, as well as different fault detection and soft computing techniques are summarized to monitor the conditions of a structure.  ...  The review is also aimed to analyse the different fault detection approaches for condition monitoring of cracks in vibrating structures.  ...  However, the credential of introducing any mathematical formulation contributes as an alternative for finding results in a confined manner.  ... 
doi:10.13111/2066-8201.2021.13.2.8 fatcat:crdf4sbieja7tfavodr5rpguk4

A multiple model approach for predictive control of nonlinear hybrid systems

Naresh N. Nandola, Sharad Bhartiya
2008 Journal of Process Control  
The MPC formulation takes on a similar form as that used for control of a continuous variable system.  ...  Each linearized model is a local representation of all locations of the hybrid system. These models are then combined using Bayes theorem to describe the nonlinear hybrid system.  ...  We also consider two different levels of complexities in terms of independent manipulation of solenoid valves (or number of binary inputs) to study the scalability of our formulation in terms of the computation  ... 
doi:10.1016/j.jprocont.2007.07.003 fatcat:p632lh7ny5gzja5t2fa7mbs5mm

Transonic Aeroelastic Stability Analysis Using a Kriging-Based Schur Complement Formulation

S. Timme, S. Marques, K. J. Badcock
2011 AIAA Journal  
The approximation of this computationally expensive interaction term, simulated by nonlinear high fidelity computational fluid dynamics, is formulated to allow both the blind search for aeroelastic instability  ...  An efficient approach is presented to search for transonic aeroelastic instability of realistic aircraft structures in multidimensional parameter spaces.  ...  Acknowledgments This research forms part of the programme of the Marie Curie Excellence Team "Ecerta" financially supported by the European Union under contract MEXT-CT-2006-042383.  ... 
doi:10.2514/1.j050975 fatcat:ccq5h2lbmzda5enbw6sl4dtiay

Introduction to Random Fields [article]

Moo K. Chung
2020 arXiv   pre-print
So there is the problem of multiple comparisons, which we have simply neglected up to now.  ...  In this paper, we explore the basics of random fields and the multiple comparisons on the random fields, which are necessary to properly threshold statistical maps for the whole image at specific statistical  ...  Fig. 3 : 3 Gaussian white noise is added and smoothed to the key shaped binary object.  ... 
arXiv:2007.09660v1 fatcat:bqnwhpifrrezde36mbjb52ttye
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