Iterative Methods for Obtaining Energy-Minimizing Parametric Snakes with Applications to Medical Imaging

Mitrea, A. I.; Badea, Radu; Mitrea, Delia; Nedevschi, Sergiu; Mitrea, Paulina; Ivan, Mircea; Gurzău, Octavian Mircia

doi:10.1155/2012/918510

Cited by 4 publications

(3 citation statements)

References 19 publications

(21 reference statements)

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“…The energy functional E(v) is defined by adding the internal, the external and the inflation (balloon) energy, [2], [6], [7] namely…”

Section: Energy Minimizing 2d Deformable Modelsmentioning

confidence: 99%

“…More exactly, we will apply the method of finite differences in order to generate algorithms for solving the Euler-Lagrange -Poisson Equation (ELP) of Calculus of Variations, which provides the energy-minimizing snake, and we will examine the performances of these algorithms. Regarding the numerical methods applied in medical image analysis and their performances, we cite the papers [2], [3], [5], [6], [7] and [15].…”

Section: Introductionmentioning

confidence: 99%

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Diseased tissue area detection and delimitation, by fusion between finite difference methods and textural analysis

Mitrea

Nedevschi

Mitrea

et al. 2014

2014 IEEE International Conference on Automation, Quality and Testing, Robotics

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The basic goals of this paper target on the development and implementation of algorithms which provide the energy-minimizing snakes in parametric form, then in applying them to textural analysis based medical diagnosis. In order to derive these algorithms, we focus on Finite Differences Methods (Explicit and Crank-Nicolson Finite Difference Schemes), widely used in medical image processing applications. We examine the consistency, stability, and convergence rate, proving their increased quality able to provide maximum accuracy when determining the diseased anatomic tissue delimitation in the context of medical images.

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“…The energy functional E(v) is defined by adding the internal, the external and the inflation (balloon) energy, [2], [6], [7] namely…”

Section: Energy Minimizing 2d Deformable Modelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Diseased tissue area detection and delimitation, by fusion between finite difference methods and textural analysis

Mitrea

Nedevschi

Mitrea

et al. 2014

2014 IEEE International Conference on Automation, Quality and Testing, Robotics

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“…A solution of this static problem is found when the solution v ( t , r , s ) uniformly converges as t tends to infinity [ 13 , 14 ].…”

Section: The Assessment Of the Quality Of Dental Prosthesis By Metmentioning

confidence: 99%

Mathematical Methods for Assessing the Prognostic of Fixed Partial Dentures Resulting from Evaluating a Group of Dental Patients in Romania

Chifor

Mitrea

Badea

et al. 2014

Computational and Mathematical Methods in Medicine

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Based on some mathematical and statistical approaches, our study leads to some conclusions concerning the procedures related to the orodental prosthetics. Occlusal equilibration in orodental prosthetics is a major issue because besides motivating patients for a regular daily oral hygiene, it could significantly increase the longevity of FPR. More dental hygiene information should be given after prosthetic treatment and patients should be motivated to attend recalls on a regular basis for professional teeth-cleaning. Interdental cleaning aids should be explained and the patients have to be motivated to use them at least once a day and the using technique should be individualized. Regarding the application of the deformable models theory, implemented in the context of an expert type software environment, it is known that the fact that modelling by advanced methods and techniques based on the deformable surfaces theory increases the efficiency of the dentofacial prosthetics procedures is a domain of great interest in the actual medical research.

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Deformable Models in Medical Image Segmentation

Becker

Thalmann

2013

3D Multiscale Physiological Human

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Iterative Methods for Obtaining Energy-Minimizing Parametric Snakes with Applications to Medical Imaging

Cited by 4 publications

References 19 publications

Diseased tissue area detection and delimitation, by fusion between finite difference methods and textural analysis

Diseased tissue area detection and delimitation, by fusion between finite difference methods and textural analysis

Mathematical Methods for Assessing the Prognostic of Fixed Partial Dentures Resulting from Evaluating a Group of Dental Patients in Romania

Deformable Models in Medical Image Segmentation

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