计算机工程与设计2024,Vol.45Issue(3) :874-881.DOI:10.16208/j.issn1000-7024.2024.03.032

基于共形几何的面部模型插值构建算法

Facial model interpolation reconstruction algorithm based on conformal geometry

庞敏 张元 熊风光 焦世超 霍昕恬
计算机工程与设计2024,Vol.45Issue(3) :874-881.DOI:10.16208/j.issn1000-7024.2024.03.032

基于共形几何的面部模型插值构建算法

Facial model interpolation reconstruction algorithm based on conformal geometry

庞敏 1张元 1熊风光 1焦世超 1霍昕恬2
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作者信息

  • 1. 中北大学计算机科学与技术学院,山西太原 030051;中北大学 机器视觉与虚拟现实山西省重点实验室,山西太原 030051;中北大学计算机科学与技术学院山西省视觉信息处理及智能机器人工程研究中心,山西太原 030051
  • 2. 太原理工大学信息与计算机学院,山西太原 030023
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摘要

针对传统三维模型构建方法难以获取连续维度的高质量面部模型问题,提出一种以不同表情的多面部模型为数据源基于共形几何的面部模型插值构建技术.利用准共形映射算法将面部模型降维到二维平面;提出一种插值算法对多模型形状特征进行线性插值,为构建过渡模型定义几何约束,同时提出一种自适应模型选择算法在数据源中自适应选择基础模型;通过几何约束引导准共形迭代改变基础模型形状;将变化后的二维模型转化到三维空间,构建具有过渡表情的三维面部模型.实验结果表明,该算法的有效性和运行效率都得到大幅提高.

Abstract

Aiming at the difficulty of obtaining high-quality facial models with continuous dimensional using traditional 3D model construction methods,a facial model interpolation construction technology based on conformal geometry was proposed using mul-tiple facial models with different expressions as data sources.The quasi-conformal mapping was used to reduce the dimensionality of the facial model and convert it into a 2D model.An interpolation algorithm was proposed to linearly interpolate the shape fea-tures of multiple models to define geometric constraints for constructing transition models.An adaptive model selection algorithm was proposed to adaptively select the basic model among multiple facial models.The quasi-conformal iteration was guided by geo-metric constraints to change the two-dimensional plane shape of the basic model.The changed 2D facial model was transformed into 3D space,and a 3D facial model with transitional expressions was constructed.Experimental results show that the effective-ness and efficiency of the algorithm are greatly improved.

关键词

三维面部模型/建模/插值/降维/几何约束/共形几何/准共形迭代

Key words

3D facial model/model construction/interpolation/dimension reduction/geometry constraint/conformal geometry/quasi-conformal iteration

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基金项目

国家自然科学基金(62272426)

国家自然科学基金(62106238)

山西省科技重大专项"揭榜挂帅"基金(202201150401021)

山西省回国留学人员科研项目(2020-113)

山西省科技成果转化引导专项(202104021301055)

出版年

2024
计算机工程与设计
中国航天科工集团二院706所

计算机工程与设计

CSTPCD北大核心
影响因子:0.617
ISSN:1000-7024
参考文献量17
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