An Interactive System of Modeling 3D Trees with Ball B-Spline Curves

Wu, Zhang; Zhou, Mingquan; Wang, Xingce; Ao, Xuefeng; Song, Rongqing

doi:10.1109/pma.2006.38

Cited by 14 publications

(5 citation statements)

References 18 publications

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“…They can be viewed as the extensions of B-Spline Curves from which many properties are inherited [24]. …”

Section: Methodsmentioning

confidence: 99%

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The Architecture of an Automatic eHealth Platform With Mobile Client for Cerebrovascular Disease Detection

Wang¹,

Bie²,

Sun³

et al. 2013

JMIR Mhealth Uhealth

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BackgroundIn recent years, cerebrovascular disease has been the leading cause of death and adult disability in the world. This study describes an efficient approach to detect cerebrovascular disease.ObjectiveIn order to improve cerebrovascular treatment, prevention, and care, an automatic cerebrovascular disease detection eHealth platform is designed and studied.MethodsWe designed an automatic eHealth platform for cerebrovascular disease detection with a four-level architecture: object control layer, data transmission layer, service supporting layer, and application service layer. The platform has eight main functions: cerebrovascular database management, preprocessing of cerebral image data, image viewing and adjustment model, image cropping compression and measurement, cerebrovascular segmentation, 3-dimensional cerebrovascular reconstruction, cerebrovascular rendering, cerebrovascular virtual endoscope, and automatic detection. Several key technologies were employed for the implementation of the platform. The anisotropic diffusion model was used to reduce the noise. Statistics segmentation with Gaussian-Markov random field model (G-MRF) and Stochastic Estimation Maximization (SEM) parameter estimation method were used to realize the cerebrovascular segmentation. Ball B-Spline curve was proposed to model the cerebral blood vessels. Compute unified device architecture (CUDA) based on ray-casting volume rendering presented by curvature enhancement and boundary enhancement were used to realize the volume rendering model. We implemented the platform with a network client and mobile phone client to fit different users.ResultsThe implemented platform is running on a common personal computer. Experiments on 32 patients’ brain computed tomography data or brain magnetic resonance imaging data stored in the system verified the feasibility and validity of each model we proposed. The platform is partly used in the cranial nerve surgery of the First Hospital Affiliated to the General Hospital of People's Liberation Army and radiology of Beijing Navy General Hospital. At the same time it also gets some applications in medical imaging specialty teaching of Tianjin Medical University. The application results have also been validated by our neurosurgeon and radiologist.ConclusionsThe platform appears beneficial in diagnosis of the cerebrovascular disease. The long-term benefits and additional applications of this technology warrant further study. The research built a diagnosis and treatment platform of the human tissue with complex geometry and topology such as brain vessel based on the Internet of things.

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“…They can be viewed as the extensions of B-Spline Curves from which many properties are inherited [24]. …”

Section: Methodsmentioning

confidence: 99%

“…Other methods can be implemented similarly. For more properties and algorithms about BBSC, please refer to [23,24]. The dataset size of cerebrovascular model based on Ball B-Spline Curve is far smaller than triangle mesh, point cloud, and other representations when representing a 3D tubular object.…”

Section: Methodsmentioning

confidence: 99%

The Architecture of an Automatic eHealth Platform With Mobile Client for Cerebrovascular Disease Detection

Wang¹,

Bie²,

Sun³

et al. 2013

JMIR Mhealth Uhealth

Self Cite

View full text Add to dashboard Cite

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“…Theoretically, all solid objects can be modeled with Ball curves or surfaces, and thus they have extensive application in the modeling of objects with uneven thickness. For example, cerebral vascular [32], plant stems [33,34], 3D human modeling [35] and other objects with uneven thickness [36] all can be modeled by Ball curves and surfaces. Since Ball curves and surfaces are defined by explicit parametric equations, the deformation of Ball curves and surfaces can be easily achieved by manipulating their control balls directly.…”

Section: Introductionmentioning

confidence: 99%

An improved cooperation search algorithm for the multi-degree reduction in Ball Bézier surfaces

Cao

Zheng

2023

Soft Comput

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Cooperation search algorithm (CSA) is a new metaheuristic algorithm inspired from the team cooperation behaviors in modern enterprises and is characterized by fast convergence. However for some complex problems, it may get trapped into local optima and suffer from premature convergence for the shortcoming of population updating guided only by leading individuals. In this paper, an improved cooperation search algorithm (CCSA) is proposed by incorporating the mutation and crossover operators in DE algorithms to alleviate the shortcoming. The two operators can be used to increase population's diversity significantly, and thus improve population's exploration capability and accuracy significantly. CCSA has been tested on 23 benchmark functions and CEC 2017 benchmark suite. Experimental results demonstrate the better performance of CCSA on convergence speed and accuracy as compared to other existing optimizers. Furthermore, aiming at the problem that there is no universal approach for the multi-degree reduction of Ball Bézier surfaces under different interpolation constrains, we propose a new method to solve this problem by introducing metaheuristic methods, where the change of interpolation constrains are treated as the change of decision variables. The modeling examples show that the proposed method is effective and easy to implement under different interpolation constrains, which achieves the automatic and intelligent degree reduction of Ball Bézier surfaces.

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“…In 2007, Wu solided the theory of the BBSC and its fundamental properties and algorithms [2]. After that, the BBSC is applied to different fields like modeling tubular objects [3], and modeling plant stem [4], leaf [5] and root [6]. These plant models are also used in computer game [7] and computer animation [8].…”

Section: Introductionmentioning

confidence: 99%

“…Step 2: Gauss-Newton iteration step 4 (1) Constructing the Gauss-Newton descent direction. Calculate [∇A(α 1(k) )…”

mentioning

confidence: 99%

G<sup>2</sup>-Continuity Extension Algorithm of Ball B-Spline Curves

Jiang

Zhang

et al. 2014

IEICE Trans. Inf. & Syst.

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SUMMARYCurve extension is a useful function in shape modeling for cyberworlds, while a Ball B-spline Curve (BBSC) has its advantages in representing freeform tubular objects. In this paper, an extension algorithm for the BBSC with G 2 -continuity is investigated. We apply the extending method of B-Spline curves to the skeleton of the BBSC through generalizing a minimal strain energy method from 2D to 3D. And the initial value of the G 2 -continuity parameter for the skeleton is selected by minimizing the approximate energy function which is a problem with O(1) time complexity. The corresponding radius function of the control ball points is determined through applying the G 2 -continuity conditions for the skeleton to the scalar function. In order to ensure the radii of the control ball points are positive, we make a decision about the range of the G 2 -continuity parameter for the radius and then determine it by minimizing the strain energy in the affected area. Some experiments comparing our method with other methods are given. And at the same time, we present the advantage of our method in modeling flexibility from the aspects of the skeleton and radius. The results illustrate our method for extending the BBSC is effective.

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An Interactive System of Modeling 3D Trees with Ball B-Spline Curves

Cited by 14 publications

References 18 publications

The Architecture of an Automatic eHealth Platform With Mobile Client for Cerebrovascular Disease Detection

The Architecture of an Automatic eHealth Platform With Mobile Client for Cerebrovascular Disease Detection

An improved cooperation search algorithm for the multi-degree reduction in Ball Bézier surfaces

G<sup>2</sup>-Continuity Extension Algorithm of Ball B-Spline Curves

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