2D Projection Image Transformation Based on 3D Spatial Triangular Meshes

Resource Overview

This project implements 2D projection image transformation using 3D triangular meshes, covering essential computer vision techniques including 3D affine transformations, fundamental matrix computation, and Euclidean space reconstruction. The implementation utilizes key algorithms and mathematical operations suitable for image-based 3D reconstruction research.

Detailed Documentation

In this documentation, we explore the concept of 2D projection image transformation based on 3D spatial triangular meshes. This transformation process involves critical computer vision operations: 3D affine transformations for spatial manipulation, fundamental matrix calculation for establishing epipolar geometry, and Euclidean space reconstruction for recovering 3D structure from 2D projections. The implementation typically employs homogeneous coordinates for affine transformations, uses the eight-point algorithm with RANSAC for robust fundamental matrix estimation, and applies triangulation methods for 3D point reconstruction. For researchers interested in image-based 3D reconstruction, this document provides valuable insights into the mathematical foundations and practical implementation approaches, featuring code examples that demonstrate mesh processing, camera calibration, and perspective projection techniques.