计算机工程与应用2024，Vol.60Issue(24)：20-43,24.DOI:10.3778/j.issn.1002-8331.2403-0405
泛函映射及其在非刚性三维形状对应领域应用综述
Functional Maps and Its Application in Non-Rigid 3D Shape Correspondence
摘要
Abstract
With the continuous development of 3D shape research technology,the issue of non-rigid 3D shape correspon-dence becomes increasingly important,with applications spanning multiple fields such as computer graphics,computer vision,and pattern recognition.The functional maps framework has achieved advanced results in non-rigid 3D shape cor-respondence,as it can capture complex relationships between shapes and exhibit robustness to the topological noise of non-rigid shapes.This paper first outlines the fundamental concepts and research directions of 3D shape correspondence,then it elaborates on the basic framework of functional maps.Building on this,it systematically reviews the classic works in the related field,including traditional functional maps methods and deep functional maps methods,highlighting the advantages and limitations of different approaches in addressing non-rigid shape correspondence.Subsequently,the paper introduces commonly used datasets in the field of non-rigid 3D shape correspondence,and conducts experimental compar-isons and analysis of different methods.Finally,it provides an outlook on the future development trends of non-rigid 3D shape correspondence.关键词
非刚性三维形状/形状对应/泛函映射/拉普拉斯-贝尔特拉米算子Key words
non-rigid 3D shape/shape correspondence/functional maps/Laplace-Beltrami operator分类
信息技术与安全科学引用本文复制引用
王宁,张丹,徐辰昊,宋美华,张建鹏,彭泉鸿..泛函映射及其在非刚性三维形状对应领域应用综述[J].计算机工程与应用,2024,60(24):20-43,24.基金项目
国家自然科学基金(62102213,62262056) （62102213,62262056）
青海省自然科学青年基金(2023-ZJ-947Q) （2023-ZJ-947Q）
青海师范大学中青年科研基金(KJQN2022010). （KJQN2022010）
