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基于B样条曲面的N边孔洞填补算法

张军锋 童若锋 唐敏 李海龙

浙江大学学报(理学版)2026,Vol.53Issue(2):222-231,10.
浙江大学学报(理学版)2026,Vol.53Issue(2):222-231,10.DOI:10.3785/1008-9497.25102

基于B样条曲面的N边孔洞填补算法

N-sided hole filling algorithm based on B-spline surface

张军锋 1童若锋 1唐敏 1李海龙2

作者信息

  • 1. 浙江大学 计算机科学与技术学院,浙江 杭州 310027
  • 2. 深圳泊松软件技术有限公司,广东 深圳 518000
  • 折叠

摘要

Abstract

The existing G1 and G2 continuous hole-filling algorithms require the boundary of the N-sided hole satisfying the twist compatibility.However,in practical engineering applications,it is often impossible to meet this request.Current methods can then achieve G0 continuity only,and when the area is narrow,internal non-smoothness may occur.This paper introduces the concept of visual continuity,measuring the degree of G1 continuity through the difference in normal angles at the stitching points.It proposes a method to generate visually continuous N-sided polygons by inserting knots and adjusting control points,which not only outperforms traditional methods and commercial engines like Parasolid in terms of isosurface effects but also significantly improves the efficiency of generation.

关键词

B样条曲面/N边孔洞/几何连续/视觉连续

Key words

B-spline surface/N-sided hole/geometric continuity/visual continuity

分类

信息技术与安全科学

引用本文复制引用

张军锋,童若锋,唐敏,李海龙..基于B样条曲面的N边孔洞填补算法[J].浙江大学学报(理学版),2026,53(2):222-231,10.

基金项目

浙江省"领雁"科技计划项目(2024C01103). (2024C01103)

浙江大学学报(理学版)

1008-9497

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