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Face Boundary Formulation for Harmonic Models: Face Image Resembling.

Hung-Tsai Huang1, Zi-Cai Li2, Yimin Wei3

  • 1Department of Data Science and Analytics, I-Shou University, Kaohsiung 84001, Taiwan.

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|January 24, 2025
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Summary
This summary is machine-generated.

This study introduces novel numerical algorithms for face boundary formulation and resemblance, enhancing face recognition and manipulation. The methods enable realistic face combination and age progression, with applications in forensics and AI.

Keywords:
ODE using Hermite interpolationage effectsblending curvesface boundary formulationface combination and resemblingface morphingharmonic modelsmorphing attack detectionsplitting–integrating method

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Area of Science:

  • Computer Vision
  • Numerical Analysis
  • Image Processing

Background:

  • Accurate face boundary formulation is crucial for applications like face recognition, transformation, and combination.
  • Existing methods for mapping face boundaries have limitations in flexibility and handling diverse boundary conditions.

Purpose of the Study:

  • To develop numerical algorithms for precise face boundary formulation using harmonic transformations.
  • To explore challenging face resemblance tasks, including age progression and parent-child image integration.

Main Methods:

  • Utilized cubic spline interpolation and ordinary differential equation (ODE) with Hermite interpolation for face boundary mapping.
  • Employed numerical methods like Finite Difference Method (FDM), Finite Element Method (FEM), and Finite Volume Method (FVM) for harmonic models.
  • Developed a splitting-integrating method (SIM) for resampling constituent pixels and least-squares optimization for optimal face combination.

Main Results:

  • Demonstrated the flexibility of the ODE approach for various boundary conditions and explored its relation with cubic splines.
  • Successfully generated integrated face images resembling specific individuals from parent-child photos, showcasing advanced face resemblance capabilities.
  • Achieved realistic age progression by combining images of individuals at different ages.

Conclusions:

  • The developed numerical algorithms provide robust solutions for face boundary formulation and complex face resemblance tasks.
  • The techniques offer significant potential for applications in areas such as plastic surgery, missing child identification, criminal investigations, and AI-driven animation.
  • This work advances the field of face image manipulation and analysis, contributing to improved pattern recognition and morphing attack detection.