Defocus and geometric distortion correction for projected images on a curved surface

Area of Science:

• Computer Vision
• Image Processing
• Optics

Background:

• Projected images often suffer from geometric distortion and defocus, especially on non-ideal surfaces like curves.
• Accurate image projection is crucial for applications like mobile projectors.

Purpose of the Study:

• To develop a correction method for defocus and geometric distortion in projected images on nonideal surfaces.
• To enable distortion-free and focused image projection, particularly for mobile projector applications.

Main Methods:

• A camera captures the projected image to estimate geometric distortion.
• A space-varying point-spread function (PSF) is modeled using a thin lens model to compensate for defocus.
• Space-varying deconvolution is employed to achieve a focused image.

Main Results:

• Experimental verification on curved projection surfaces demonstrated successful correction of both geometric distortion and defocus.
• The proposed method effectively compensates for defocus using a PSF model dependent on projector-surface distance.
• Achieved focused images through space-varying deconvolution.

Conclusions:

• The proposed method provides a simple yet accurate approach for correcting projected image distortions and defocus.
• The technique is well-suited for enhancing image quality in mobile projector applications.
• Successful application on curved surfaces validates the algorithm's robustness.