Convergence analysis of active contours

Verdú‐Monedero, Rafael; Morales‐Sánchez, Juan; Weruaga, Luis

doi:10.1016/j.imavis.2007.12.003

Cited by 10 publications

(4 citation statements)

References 24 publications

(41 reference statements)

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“…At this point, the emphases on how important the water resource that has been disturbed by the sugar factory is really realised. To avoid the ramification of it, it is better we keep proper planning in implementing projects, especially projects that have aftermath on ambient environmental resources.It is better if we built our ideas on geometry and other modern science because geometry constitutes the shape of the object and Physics imposes the constraints in how the shape of the object can contrast over time, [7].…”

Section: Discussionmentioning

confidence: 99%

The Role of Spatial Analysis in Detecting the Consequence of the Factory Sites : Case Study of Assalaya Factory-Sudan

et al. 2018

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Spatial analysis is considered as one of the most important science for identifying the most appropriate site for industrialization and also to alleviate the environmental ramifications caused by factories. This study aims at analyzing the Assalaya sugarcane factory site by the use of spatial analysis to determine whether it has ramification on the White Nile River. The methodology employed for this study is Global Position System (GPS) to identify the coordinate system of the study phenomena and other relative factors. The study will also make use Geographical Information System (GIS) to implement the spatial analysis. Satellite data (LandsatDem-Digital Elevation Model) will be considered for the study area and factory in identifying the consequences by analyzing the location of the factory through several features such as hydrological, contour line and geological analysis. Data analysis reveals that the factory site is inappropriate and according to observation on the ground it has consequences on the White Nile River. Based on the finding, the study recommended some suggestions to avoid the aftermath of any factory in general. We have to take advantage of this new technological method to aid in selecting most apt locations for industries that will create an ambient environment.

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Section: Discussionmentioning

confidence: 99%

The Role of Spatial Analysis in Detecting the Consequence of the Factory Sites : Case Study of Assalaya Factory-Sudan

et al. 2018

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“…These parameters control the inertia of the model in the process of adaptation to the data. The optimal values of all these parameters to accelerate the convergence process of the active contour can be found in [ 53 , 54 ].…”

Section: Methodsmentioning

confidence: 99%

“…As a relevant contribution of this work and as an important aspect that makes the proposed method remarkable is, apart from the quality and precision of the segmentations, the computational efficiency, providing robust results in significantly less time than the method based on deep learning. This efficiency is achieved thanks to the optimal implementation of the morphological filters [ 50 ] as well as the formulation and implementation of the deformable models that are carried out in the frequency domain [ 51 , 52 ], using the dynamic parameters able to ensure and optimize the convergence of the model [ 53 , 54 ]. Finally, Section 4 proceeds with the discussion of the results, and Section 5 closes the paper with the conclusions and proposed future work.…”

Section: Introductionmentioning

confidence: 99%

Automatic Segmentation of the Retinal Nerve Fiber Layer by Means of Mathematical Morphology and Deformable Models in 2D Optical Coherence Tomography Imaging

Berenguer-Vidal

Verdú‐Monedero

Morales‐Sánchez

et al. 2021

Sensors

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Glaucoma is a neurodegenerative disease process that leads to progressive damage of the optic nerve to produce visual impairment and blindness. Spectral-domain OCT technology enables peripapillary circular scans of the retina and the measurement of the thickness of the retinal nerve fiber layer (RNFL) for the assessment of the disease status or progression in glaucoma patients. This paper describes a new approach to segment and measure the retinal nerve fiber layer in peripapillary OCT images. The proposed method consists of two stages. In the first one, morphological operators robustly detect the coarse location of the layer boundaries, despite the speckle noise and diverse artifacts in the OCT image. In the second stage, deformable models are initialized with the results of the previous stage to perform a fine segmentation of the boundaries, providing an accurate measurement of the entire RNFL. The results of the RNFL segmentation were qualitatively assessed by ophthalmologists, and the measurements of the thickness of the RNFL were quantitatively compared with those provided by the OCT inbuilt software as well as the state-of-the-art methods.

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“…The curve evolutions obtained by gradient descent based functional energy minimization [1] [4] [5] are globally convergent in theory [6]. Furthermore, the numerical convergence of some of those curve evolutions was also shown by simulation [7] and theoretical analysis [8]. Hence, the curve evolutions in this framework are convergent once formulated.…”

Section: Introductionmentioning

confidence: 97%

The Stability of Convergence of Curve Evolutions in Vector Fields

Wang,

Chan

2012

Preprint

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Curve evolution is often used to solve computer vision problems. If the curve evolution fails to converge, we would not be able to solve the targeted problem in a lifetime. This paper studies the theoretical aspect of the convergence of a type of general curve evolutions. We establish a theory for analyzing and improving the stability of the convergence of the general curve evolutions. Based on this theory, we ascertain that the convergence of a known curve evolution is marginal stable. We propose a way of modifying the original curve evolution equation to improve the stability of the convergence according to our theory. Numerical experiments show that the modification improves the convergence of the curve evolution, which validates our theory.

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Convergence analysis of active contours

Cited by 10 publications

References 24 publications

The Role of Spatial Analysis in Detecting the Consequence of the Factory Sites : Case Study of Assalaya Factory-Sudan

The Role of Spatial Analysis in Detecting the Consequence of the Factory Sites : Case Study of Assalaya Factory-Sudan

Automatic Segmentation of the Retinal Nerve Fiber Layer by Means of Mathematical Morphology and Deformable Models in 2D Optical Coherence Tomography Imaging

The Stability of Convergence of Curve Evolutions in Vector Fields

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