Image Transformation and Warping

 

이미지 등록부터 창의적 효과까지 다양한 응용을 가능하게 하는 기하학적 이미지 조작의 필수 기법입니다.

Geometric Transformations

Affine Transformations

Affine transformations preserve parallel lines and include:

  • Translation: Moving images
  • Rotation: Rotating images around a point
  • Scaling: Resizing images
  • Shearing: Distorting images along axes

Projective Transformations

Projective (homography) transformations can represent perspective changes, useful for:

  • Image stitching
  • Camera calibration
  • Perspective correction

Image Warping

Image warping involves non-linear transformations that can:

  • Correct lens distortion
  • Create artistic effects
  • Align images from different viewpoints

Warping Methods

  • Thin Plate Spline (TPS): Smooth warping
  • Mesh-based Warping: Control point-based deformation
  • Optical Flow: Motion-based warping

Applications

  • Medical Imaging: Image registration and alignment
  • Computer Graphics: Texture mapping and morphing
  • Photography: Perspective correction and panorama creation
  • Computer Vision: Feature matching and tracking

Implementation

Modern implementations use:

  • Matrix operations for transformations
  • Interpolation methods (bilinear, bicubic)
  • GPU acceleration for real-time processing

Conclusion

Image transformation and warping are powerful tools that enable sophisticated image manipulation and analysis across many domains.