Constructing method of blending surfaces by heat equation with fluctuant boundary

doi:10.3778/j.issn.1002-8331.2009.32.042

Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (32): 133-136.DOI: 10.3778/j.issn.1002-8331.2009.32.042

• 图形、图像、模式识别 • Previous Articles Next Articles

Constructing method of blending surfaces by heat equation with fluctuant boundary

WANG Lie，YE Zheng-lin，SHI Mao

Faculty of Science，Northwestern Polytechnical University，Xi’an 710072，China

Received:2008-06-24 Revised:2008-10-08 Online:2009-11-11 Published:2009-11-11
Contact: WANG Lie

具有变动边界的过渡面的热传导方程构造法

王烈，叶正麟，石茂

西北工业大学理学院，西安 710072

通讯作者: 王烈

Abstract

Abstract: The constructing method of blending surfaces by heat equation with fluctuant boundary condition is researched.In different initial condition and fluctuant boundary condition，the representation of heat equation is used，such that the modeling of blending surfaces by heat equation is brought forward.The equation can be resolved by the segregation variable method or the numerical method，then the blending surfaces which satisfy C0 or C1 continuation can be achieved by the image space of the equation.The experimental results show that the model is effective and feasible.

Key words: blending surfaces, partial differential equation, geometric modeling

摘要： 提出过渡面的热传导方程构造方法。使用热传导方程、初值条件和变动的边界条件，得到过渡面的偏微分方程模型，再利用分离变量法或者数值方法得到模型的解，则方程的像空间就是满足连续性要求的过渡面。数值实验也表明这种方法是可行的、有效的。

关键词: 过渡面, 偏微分方程, 几何造型

CLC Number:

TP391

WANG Lie，YE Zheng-lin，SHI Mao. Constructing method of blending surfaces by heat equation with fluctuant boundary[J]. Computer Engineering and Applications, 2009, 45(32): 133-136.

王烈，叶正麟，石茂. 具有变动边界的过渡面的热传导方程构造法[J]. 计算机工程与应用, 2009, 45(32): 133-136.

[1]	LIU Hongchen, LIU Zhaoxia, ZHANG Long. Mixed [L2] and KL Fidelity Item Image Recovery Algorithm [J]. Computer Engineering and Applications, 2020, 56(5): 214-221.
[2]	WU Xuan, WANG Yan, CHEN Xing. Fast Image Segmentation Model Without Initial Contour [J]. Computer Engineering and Applications, 2019, 55(11): 167-171.
[3]	XUE Wendan, ZHAO Fengqun. Partial differential equation model involving depth of scene for hazy image enhancement [J]. Computer Engineering and Applications, 2017, 53(19): 192-197.
[4]	WAN Wei, LIU Zhaoxia. Improved image inpainting method for Euler’s elastic model [J]. Computer Engineering and Applications, 2017, 53(13): 196-200.
[5]	CHEN Long, CAI Guangcheng. Image denoising method based on PDE [J]. Computer Engineering and Applications, 2015, 51(16): 142-145.
[6]	LI Shuling, LI Xiaolin. Application of image segmentation algorithm based on globally supported and positive definite radial basis functions [J]. Computer Engineering and Applications, 2014, 50(6): 139-143.
[7]	CHEN Huihui, WANG Junfeng, SHU Bin. Image magnification using comprehensive model of partial differential equation [J]. Computer Engineering and Applications, 2013, 49(4): 178-180.
[8]	LIU Kai1，2, KOU Zheng2, LUO Limin1. Comparison study of two numerical schemes for PDE-based fusion method [J]. Computer Engineering and Applications, 2013, 49(24): 165-171.
[9]	CHEN Xiaoyan, LIU Zhi, ZHANG Li. Quartic Bézier curves and surfaces with shape parameters [J]. Computer Engineering and Applications, 2012, 48(9): 172-175.
[10]	ZHOU Yuan1, MA Wenhua2, XU Haishui3. Nonlinear isotropic diffusion based on local maximum absolute median difference and gradient [J]. Computer Engineering and Applications, 2012, 48(28): 197-200.
[11]	HE Ruiying. C-V model with edge information [J]. Computer Engineering and Applications, 2012, 48(18): 181-186.
[12]	XIE Yi1，YANG Ling2. Level set method of image segmentation based on adaptive model [J]. Computer Engineering and Applications, 2011, 47(27): 221-224.
[13]	ZHANG Shaohua1，2. RSF model with linear regularization item [J]. Computer Engineering and Applications, 2011, 47(24): 160-162.
[14]	ZHOU Hongyu，WANG Aimin. Research of adaptive algorithm for numerical calculation of nonlinear partial differential equations [J]. Computer Engineering and Applications, 2011, 47(20): 38-40.
[15]	WANG Dapeng，TANG Jin，GUO Yutang，LUO Bin. Noise removal based on fourth-order nonlinear diffusion equation [J]. Computer Engineering and Applications, 2011, 47(12): 185-188.

Constructing method of blending surfaces by heat equation with fluctuant boundary

具有变动边界的过渡面的热传导方程构造法

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics