Feature-preserving shrink wrapping with adaptive alpha

IF 1.3 4区 计算机科学 Q3 COMPUTER SCIENCE, SOFTWARE ENGINEERING
Jiayi Dai , Yiqun Wang , Dong-Ming Yan
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引用次数: 0

Abstract

Recent advancements in shrink-wrapping-based mesh approximation have shown tremendous advantages for non-manifold defective meshes. However, these methods perform unsatisfactorily when maintaining the regions with sharp features and rich details of the input mesh. We propose an adaptive shrink-wrapping method based on the recent Alpha Wrapping technique, offering improved feature preservation while handling defective inputs. The proposed approach comprises three main steps. First, we compute a new sizing field with the capability to assess the discretization density of non-manifold defective meshes. Then, we generate a mesh feature skeleton by projecting input feature lines onto the offset surface, ensuring the preservation of sharp features. Finally, an adaptive wrapping approach based on normal projection is applied to preserve the regions with sharp features and rich details simultaneously. By conducting experimental tests on various datasets including Thingi10k, ABC, and GrabCAD, we demonstrate that our method exhibits significant improvements in mesh fidelity compared to the Alpha Wrapping method, while maintaining the advantage of manifold property inherited from shrink-wrapping methods.

利用自适应阿尔法进行特征保留收缩包装
基于收缩包裹的网格逼近技术的最新进展显示出其在处理非漫反射缺陷网格方面的巨大优势。然而,这些方法在保持输入网格的尖锐特征和丰富细节区域时,表现并不令人满意。我们提出了一种基于最新阿尔法包裹技术的自适应收缩包裹方法,在处理有缺陷的输入时能更好地保留特征。所提出的方法包括三个主要步骤。首先,我们计算一个新的尺寸场,该场能够评估非曲面缺陷网格的离散密度。然后,我们通过将输入特征线投影到偏移表面来生成网格特征骨架,确保保留锐利特征。最后,应用基于法线投影的自适应包裹方法,同时保留具有锐利特征和丰富细节的区域。通过在各种数据集(包括 Thingi10k、ABC 和 GrabCAD)上进行实验测试,我们证明了与 Alpha 包裹方法相比,我们的方法在保持收缩包裹方法所继承的流形属性优势的同时,显著提高了网格保真度。
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来源期刊
Computer Aided Geometric Design
Computer Aided Geometric Design 工程技术-计算机:软件工程
CiteScore
3.50
自引率
13.30%
发文量
57
审稿时长
60 days
期刊介绍: The journal Computer Aided Geometric Design is for researchers, scholars, and software developers dealing with mathematical and computational methods for the description of geometric objects as they arise in areas ranging from CAD/CAM to robotics and scientific visualization. The journal publishes original research papers, survey papers and with quick editorial decisions short communications of at most 3 pages. The primary objects of interest are curves, surfaces, and volumes such as splines (NURBS), meshes, subdivision surfaces as well as algorithms to generate, analyze, and manipulate them. This journal will report on new developments in CAGD and its applications, including but not restricted to the following: -Mathematical and Geometric Foundations- Curve, Surface, and Volume generation- CAGD applications in Numerical Analysis, Computational Geometry, Computer Graphics, or Computer Vision- Industrial, medical, and scientific applications. The aim is to collect and disseminate information on computer aided design in one journal. To provide the user community with methods and algorithms for representing curves and surfaces. To illustrate computer aided geometric design by means of interesting applications. To combine curve and surface methods with computer graphics. To explain scientific phenomena by means of computer graphics. To concentrate on the interaction between theory and application. To expose unsolved problems of the practice. To develop new methods in computer aided geometry.
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