Research Progress of 3D Style Design Based on Sketching

Xuan, Cui Xian; Gong, Yong Jian; Li, Qiang

doi:10.4028/www.scientific.net/amm.423-426.1819

Cited by 2 publications

(2 citation statements)

References 10 publications

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“…Moreover, the polynomials tend to behave erratically near the boundaries. Notice also that in highly stiff problems, as the case of nonlinear Burgers' equations at high Reynolds numbers, it may be desirable to have a lower degree least square polynomial in steep gradient regions in order to avoid any overfitting, see, for instance, [32,33].…”

Section: Least Square (Ls)mentioning

confidence: 99%

A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations

Asmouh

El‐Amrani

Seaı̈d

et al. 2022

Computational and Mathematical Methods

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A cell-centered finite volume semi-Lagrangian method is presented for the numerical solution of two-dimensional coupled Burgers’ problems on unstructured triangular meshes. The method combines a modified method of characteristics for the time integration and a cell-centered finite volume for the space discretization. The new method belongs to fractional-step algorithms for which the convection and the viscous parts in the coupled Burgers’ problems are treated separately. The crucial step of interpolation in the convection step is performed using two local procedures accounting for the element where the departure point is located. The resulting semidiscretized system is then solved using a third-order explicit Runge-Kutta scheme. In contrast to the Eulerian-based methods, we apply the new method for each time step along the characteristic curves instead of the time direction. The performance of the current method is verified using different examples for coupled Burgers’ problems with known analytical solutions. We also apply the method for simulation of an example of coupled Burgers’ flows in a complex geometry. In these test problems, the new cell-centered finite volume semi-Lagrangian method demonstrates its ability to accurately resolve the two-dimensional coupled Burgers’ problems.

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Section: Least Square (Ls)mentioning

confidence: 99%

A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations

Asmouh

El‐Amrani

Seaı̈d

et al. 2022

Computational and Mathematical Methods

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“…A multistroke combination method has been proposed by Li et al [4][5][6]. In recent years, more features have been applied into AutoSketch system for the requirement of real-time 3D sketching [7,8], especially the pressure information of digital pen that has been used to creature the spatial curve and express the style of stroke, in which more features from the strokes are calculated [9]. Strokes can be drawn like art sketching on a paper with a pencil or marker pen.…”

Section: Introductionmentioning

confidence: 99%

Features from a Single Vector Pressure Stroke

Yang

Zhang

et al. 2017

Mathematical Problems in Engineering

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Freehand sketching in a real-time 3D styling system presents a different way to create a 3D model from the traditional CAD system. Strokes are the most common and useful objects in the expression of a stylist’s intention by using the gesture commands and in the construction of geometries. Not only are they sketched freely as drawing on a paper with a pen, but also they can be converted automatically into spline curves and then can be used to form a surface. Therefore, it is necessary to investigate the features of stroke, the extraction and identification of these features, and the applications. Here, the features from a single vector pressure stroke have been discussed in detail according to their applications in an automotive freehand styling system in the early stage of conceptual design. The features have been divided into three parts: the input features, the calculable feature, and the added features. Over a hundred features have been defined and classified with the geometry or performance attributes. The features proposed have been applied in the identification of gesture commands, the expression of art vector stroke by pseudoantialiasing method, and a novel method to generate a spatial curve directly by the pressure of stroke in AutoSketch system.

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Research Progress of 3D Style Design Based on Sketching

Cited by 2 publications

References 10 publications

A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations

A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations

Features from a Single Vector Pressure Stroke

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