Virtual Mirror Imaging via Bisector Plane Projection

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Solution Overview

Problem

Existing methods for generating virtual mirror images from camera images are computationally demanding and prone to errors due to the need for reconstructing three-dimensional scenes, which can lead to artifacts in the calculated mirror images.

Innovation Solution

A method that determines a bisector plane between two viewpoints and projects the first digital image onto this plane to generate a virtual mirror image, eliminating the need for three-dimensional reconstruction and providing a computationally efficient and robust approach.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If three-dimensional scene reconstruction is performed to generate virtual mirror images, then the mirror view can be calculated, but the computational complexity increases and errors/artifacts occur

Engineering Contradiction:
Improveaccuracy of mirror imageVSAvoidcomputational complexity
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The patent extracts only the essential geometric information (projection matrices and viewpoint coordinates) from the three-dimensional scene reconstruction process, eliminating the need to reconstruct the complete three-dimensional scene. This selective extraction maintains the ability to calculate accurate mirror images while significantly reducing computational complexity by removing unnecessary reconstruction steps.

Inventive Principle:
Principle #2Taking out (Extraction)

Solution Approach 2:

Instead of reconstructing the three-dimensional scene first and then calculating the mirror image, the patent inverts the approach by directly computing the mirror image transformation using pre-existing projection matrices and viewpoint information. This inversion eliminates the intermediate reconstruction step that causes both computational overhead and potential errors.

Inventive Principle:
Principle #13The other way round (Inversion)

2Reliability

If three-dimensional scene reconstruction is performed to generate virtual mirror images, then the mirror view can be calculated, but the processing time increases

Engineering Contradiction:
Improveaccuracy of mirror imageVSAvoidprocessing time
Core Design Contradiction:
ReliabilityVSLoss of time

Solution Approach 1:

The patent performs preliminary actions by utilizing projection matrices and viewpoint coordinates that are already available from the original image capture process. By preparing and storing these geometric parameters in advance, the system eliminates the need for time-consuming three-dimensional reconstruction when generating mirror images, significantly reducing processing time while maintaining accuracy.

Inventive Principle:
Principle #10Preliminary action

3Productivity

If traditional mirror view calculation methods are used, then the computational process is robust, but artifacts appear in the calculated mirror image

Engineering Contradiction:
Improvecomputational efficiencyVSAvoidquality of mirror image
Core Design Contradiction:
ProductivityVSManufacturing precision

Solution Approach 1:

The patent changes the parameters used for mirror image calculation from reconstructed three-dimensional scene data to direct transformations of projection matrices and viewpoint coordinates. This parameter change maintains computational efficiency while improving image quality by avoiding the errors and artifacts that arise during three-dimensional reconstruction processes.

Inventive Principle:
Principle #35Parameter changes

Data Source

PatentUS20260045027A1Projective bisector mirror
Publication Date: 2026.02.12 TECHNISCHE UNIVERSITAT MUNCHEN
  • US20260045027A1 patent drawing
  • US20260045027A1 patent drawing
  • US20260045027A1 patent drawing

AI summary

A computer-implemented method is provided for generating, based on a first digital image associated with a first viewpoint, a virtual mirror image according to a perspective view associated with a second viewpoint. The method comprises determining a bisector plane of the first viewpoint and the second viewpoint. The method further comprises computing the virtual mirror image based on a projection of the first digital image onto the bisector plane.