一种基于Hermite插值算法和OpenGL技术的三维人脸建模方法

A 3D face modeling method based on Hermite interpolation algorithm and OpenGL

摘要

探索高效构建和修复三维人脸模型的方法.通过光学扫描仪获取高精度的人脸三维数据,为模型构建提供基础数据支持;为修复数据采集中可能存在的缺失区域,采用了Hermite三次样条插值算法,以确保模型的完整性和连续性.在三维人脸网格渲染过程中,结合点云几何变换、视口变换及最短路径算法,高效实现了人脸网格绘制.根据不同应用场景的需求,最终生成了具有不同精度的人脸网格模型,可满足多种实际应用的精度要求.该方法有效提高了三维人脸模型的渲染质量和适应性,在虚拟现实、面部识别和动画制作等领域具有广泛的应用前景.

Abstract

Methods for efficiently constructing and repairing 3D face models were explored. High-precision 3D face data was obtained through an optical scanner to provide basic data support for model construction. To repair the missing areas that may exist in the data collection process, the Hermite cubic spline interpolation algorithm was adopted to ensure the integrity and continuity of the model. In the process of the 3D face mesh rendering, combining point cloud geometric transformation, viewport transformation and the shortest path algorithm, the face mesh drawing was efficiently achieved. According to the requirements of different application scenarios, face mesh models with different precision are finally generated, which can meet the precision requirements of various practical applications. This method effectively improves the rendering quality and adaptability of 3D face models and has broad application prospects in the fields of virtual reality, facial recognition and animation production.

关键词

三维人脸建模 / Hermite插值算法 / 最短路径算法 / OpenGL

Key words

3D face modeling / Hermite interpolation algorithm / shortest path algorithm / OpenGL

参考文献

[1] PARKE F I. Computer generated animation of faces[C]// ACM National Conference, August 1, 1972, Boston, USA. New York: Association for Computing Machinery, 1972: 451-457.

[2] PLATT S M, BADLER N I. Animating facial expressions[J]. ACM SIGGRAPH Computer Graphics, 1981, 15(3): 245-252.

[3] LEE Y C, TERZOPOULOS D, WATERS K, et al. Realistic modeling for facial animation[C]// The 22nd annual conference on Computer graphics and interactive techniques, August 6—11, 1995, Los Angeles, USA. New York: Association for Computing Machinery, 1995: 55-62.

[4] BLANZ V, VETTER T. A Morphable Model for the Synthesis of 3D Faces[C]// The 26nd annual conference on Computer graphics and interactive techniques, August 8—13, 1999, Los Angeles, USA. New York: Association for Computing Machinery, 1999: 187-194.

[5] 孙琪. 基于GAN的人脸图像修复和超分重建方法研究与应用[D]. 郑州: 河南大学, 2022.

[6] 江水涛, 万旺根, 王旭智, 等. 基于语义感知和空间注意力的人脸图像超分辨率重建[J]. 工业控制计算机, 2023, 36(10): 81-83.

[7] 陈娜. 基于深度卷积网络的3D人脸重构算法[J]. 激光与红外, 2022, 52(6): 923-930.

[8] 陈创, 蒲鑫, 李昂轩, 等. 基于Hermite插值的仿真动态成像平滑过渡设计[J]. 吉林大学学报(信息科学版), 2024, 42(3): 522-530.

[9] ENGELSON V, FRITZSON P, FRITZSOIF D. Generating Efficient 3D Graphics Animation Code with OpenGL from Object Oriented Models in Mathematica[J]. WIT Transactions on Engineering Sciences, 1997, 15: 129-136.

[10] TANG Y, WANG J, HU J, et al. RBF—Based Constrained Texture Mapping[J]. Computer & Graphics, 2003, 27(3): 415-422.