3D Stereography Control via Mathematical Camera Geometry
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Solution Overview
Problem
The production of stereoscopic three-dimensional (3D) content is often considered a 'black art' due to the lack of precise rules governing its creation, transformation, and perception, leading to inconsistent and time-consuming results.
Innovation Solution
The use of mathematical relationships between scene geometry, camera parameters, and viewing environments, defined in a computer memory, to influence a viewer's perception of 3D imagery, including the application of perception values such as shape ratio and width magnification factor, and the selection of mathematical algorithms to determine input parameters for a stereographic image generating process.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If stereographers apply iterative, subjective methods to produce 3D content, then creative intent may be achieved, but production time increases and quality consistency deteriorates
Solution Approach 1:
The patent applies parameter changes by systematically adjusting camera parameters (interaxial distance, horizontal shift, focal length) and scene parameters (object distance, screen distance) based on mathematical relationships. These parameter changes enable predictable control over perceived 3D geometry without iterative trial-and-error, directly resolving the contradiction between quality consistency and production time
Solution Approach 2:
The patent replaces the mechanical/subjective adjustment process with mathematical algorithms and computer-implemented methods. By substituting iterative subjective judgment with deterministic mathematical relationships between camera parameters and perceived geometry, the system achieves consistent results efficiently
2Productivity
If precise rules are applied to control scene and camera parameters, then production efficiency improves, but system complexity increases
Solution Approach 1:
The patent implements a universal mathematical framework that handles multiple stereographic parameters (interaxial distance, horizontal shift, focal length, object distance) through a single coherent system. This universal approach consolidates what would otherwise be separate adjustment procedures into one integrated method, improving efficiency without proportionally increasing complexity
Solution Approach 2:
The patent introduces mathematical relationships and computer algorithms as intermediaries between camera parameters and perceived 3D geometry. These intermediaries translate physical camera settings into predictable visual outcomes, enabling efficient control while managing complexity through structured computation
3Measurement precision
If multiple parameters are adjusted to achieve desired perception, then perception accuracy improves, but measurement and control difficulty increases
Solution Approach 1:
The patent employs feedback mechanisms where computer-implemented methods calculate the relationships between parameters and adjust them iteratively to achieve target perceived geometry. This feedback loop enables precise control over perception accuracy while managing the complexity of multiple parameters through systematic computation
Solution Approach 2:
The patent applies preliminary action by pre-calculating the mathematical relationships between camera parameters and perceived 3D geometry before actual production. This allows operators to determine optimal parameter settings in advance, improving perception accuracy while reducing the difficulty of real-time control
Data Source
AI summary
Mathematical relationships between the scene geometry, camera parameters, and viewing environment are used to control stereography to obtain various results influencing the viewer's perception of 3D imagery. The methods may include setting a horizontal shift, convergence distance, and camera interaxial parameter to achieve various effects. The methods may be implemented in a computer-implemented tool for interactively modifying scene parameters during a 2D-to-3D conversion process, which may then trigger the re-rendering of the 3D content on the fly.