Hologram Calculation Using Virtual Plane Sub-holograms
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Solution Overview
Problem
Current methods for calculating holograms in holographic displays require significant computational effort, especially when the light modulator's position changes relative to the observer and the scene, leading to increased complexity and resource usage.
Innovation Solution
A method that calculates holograms by decomposing scenes into object points and encoding them as sub-holograms in a virtual plane of the spatial light modulator, allowing for additional integral transformations to minimize computational effort and adapt to varying positions without compromising visible resolution.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If holograms are calculated using conventional methods with the light modulator at fixed positions, then the computational process is straightforward, but the computational effort increases significantly when the light modulator's position changes relative to the observer and scene
Solution Approach 1:
The patent pre-calculates and stores transformation matrices for multiple predetermined light modulator positions in advance. When the light modulator moves to a known position, the system retrieves the corresponding pre-computed transformation matrix instead of calculating it in real-time, significantly reducing computational effort during operation while maintaining adaptability to position changes
Solution Approach 2:
The patent implements a dynamic computational approach where the calculation method adapts based on the light modulator's position. For positions within a calibration region, the system uses pre-computed matrices, while for positions outside this region, it performs full recalculations. This dynamic strategy optimizes computational resources by applying different calculation depths based on positional context
2Manufacturing precision
If the light modulator is positioned closer to the observer to improve depth perception, then depth resolution is enhanced, but the computational effort required to calculate holograms increases
Solution Approach 1:
The patent changes the parameter of light modulator-to-observer distance to optimize the balance between depth resolution and computational effort. By positioning the light modulator at specific distances and using pre-computed transformation matrices for these predetermined positions, the system achieves high depth resolution without the computational cost that would result from calculating holograms for arbitrary close positions
3Manufacturing precision
If holograms are recalculated for every change in light modulator position to maintain high resolution, then visible resolution is preserved, but the calculation time increases
Solution Approach 1:
The system pre-calculates and stores transformation matrices for multiple predetermined light modulator positions during a calibration phase. When operation begins, if the light modulator moves to a position that matches one of the predetermined positions, the system retrieves the corresponding pre-computed matrix immediately, avoiding recalculation and thus preserving visible resolution while minimizing calculation time
Solution Approach 2:
The patent creates computational copies of transformation matrices for different light modulator positions. Instead of calculating unique holograms for every possible position, the system generates and stores representative transformation matrices (copies) for predetermined positions, allowing rapid retrieval and application without repeated full calculations
Data Source
AI summary
The invention relates to methods for computing holograms for holographic reconstruction of two-dimensional and/or three-dimensional scenes in a display apparatus, wherein a scene for reconstruction is broken down into object points and the object points are encoded as sub-holograms into at least one spatial light modulation device of the display apparatus. A reconstructed scene is viewed from a region of visibility. At least one virtual plane of the at least one spatial light modulation device is stipulated on the basis of a real plane of the spatial light modulation device. A computation of sub-holograms is performed in the at least one virtual plane of the at least one spatial light modulation device.