G2 Blending Ball B-Spline Curve by B-Spline-Reference-Cited by-同舟云学术

G2 Blending Ball B-Spline Curve by B-Spline

Published:2023-05-12 Issue:1 Volume:6 Page:1-16
ISSN:2577-6193
Container-title:Proceedings of the ACM on Computer Graphics and Interactive Techniques
language:en
Short-container-title:Proc. ACM Comput. Graph. Interact. Tech.

Author:

Zhao Yuming¹^ORCID,Wu Zhongke¹^ORCID,Wang Xingce¹^ORCID,Liu Xinyue¹^ORCID

Affiliation:

1. Beijing Normal University, Beijing, China

Abstract

Blending two Ball B-Spline Curves(BBSC) is an important tool in modeling tubular objects. In this paper, we propose a new BBSC blending method. Our method has the following three main contributions: First, we use BBSC instead of ball Bézier to model the blending part to expand the solution space and make the resultant BBSC have better fairness. Second, we consider both the skeleton line and radius of BBSC, which makes the skeleton line and radius consistent. Thirdly, we propose a two-step optimization process to solve the problem of excessive amount of parameters brought by expanding the solution space, so that our method satisfies the real-time.

Funder

National Key R&D Program of China

National Nature Science Foundation of China

Innovation &Transfer Fund of Peking University Third Hospital

Beijing Municipal Science and Technology Commission and Zhongguancun Science Park Management Committee

Publisher

Association for Computing Machinery (ACM)

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications

Link

https://dl.acm.org/doi/pdf/10.1145/3585504

Reference24 articles.

1. X. Ao Z. Wu and M. Zhou. 2009. Real Time Animation of Trees Based on BBSC in Computer Games. In Hindawi Publishing Corporation. 5. X. Ao Z. Wu and M. Zhou. 2009. Real Time Animation of Trees Based on BBSC in Computer Games. In Hindawi Publishing Corporation. 5.

2. Bachir Belkhatir , Driss Sbibih , and Ahmeh Zidna . 2008. G1 Blending B-Spline Surfaces and Optimization . In Modelling, Computation and Optimization in Information Systems and Management Sciences , Hoai An Le Thi, Pascal Bouvry, and Tao Pham Dinh (Eds.). Springer Berlin Heidelberg , Berlin, Heidelberg , 458--467. Bachir Belkhatir, Driss Sbibih, and Ahmeh Zidna. 2008. G1 Blending B-Spline Surfaces and Optimization. In Modelling, Computation and Optimization in Information Systems and Management Sciences, Hoai An Le Thi, Pascal Bouvry, and Tao Pham Dinh (Eds.). Springer Berlin Heidelberg, Berlin, Heidelberg, 458--467.

3. Del Brutto Oscar H. Mera Robertino M. Zambrano Mauricio and Lama. 2015. Incompleteness of the Circle of Willis Correlates Poorly with Imaging Evidence of Small Vessel Disease. A Population-based Study in Rural Ecuador (the Del Brutto Oscar H. Mera Robertino M. Zambrano Mauricio and Lama. 2015. Incompleteness of the Circle of Willis Correlates Poorly with Imaging Evidence of Small Vessel Disease. A Population-based Study in Rural Ecuador (the

4. Atahualpa Project). Journal of stroke and cerebrovascular diseases: The official journal of National Stroke Association 24, 1 ( 2015 ), 73--77. Atahualpa Project). Journal of stroke and cerebrovascular diseases: The official journal of National Stroke Association 24, 1 (2015), 73--77.

5. L. Florez-Valencia , J. Azencot , and M. Orkisz . 2010. Algorithm for blood-vessel segmentation in 3D images based on a right generalized cylinder model: application to carotid arteries . In International Conference on Computer Vision & Graphics. L. Florez-Valencia, J. Azencot, and M. Orkisz. 2010. Algorithm for blood-vessel segmentation in 3D images based on a right generalized cylinder model: application to carotid arteries. In International Conference on Computer Vision & Graphics.