Conformal Mapping for Partially-Immersive VR Visualization
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Partially-immersive virtual reality environments, such as Immersive Cabins with fewer than six display surfaces, suffer from distortion that leads to loss of visual information, affecting user navigation and data exploration, particularly in applications like medical data analysis.
Innovation Solution
A method for conformal mapping of image data from a source mesh to a target mesh is developed, allowing for efficient visualization by generating templates, processing them to obtain a conformal mapping, and mapping image data to output a mapped texture on the target mesh, which can be applied to various immersive and partially-immersive systems.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If partially-immersive VR environments with fewer than six display surfaces are used, then cost and construction difficulty are reduced, but visual information is lost due to distortion
Solution Approach 1:
The patent introduces conformal mapping as an intermediary mathematical transformation that bridges the source image data and the target partially-immersive display surfaces. This conformal map acts as a mediator that preserves angles and local shapes while adapting the visualization to the limited display geometry, thereby preventing visual information loss without requiring a fully immersive six-surface environment.
Solution Approach 2:
The patent changes the parameter representation by computing a conformal map that transforms the domain of the source mesh to the target mesh. This parameter transformation allows the system to maintain geometric accuracy and visual fidelity on partially-immersive displays by adjusting the mapping parameters to preserve angular relationships and local structures, thus avoiding information loss.
2Manufacturing precision
If conformal mapping is applied to preserve visual information, then visualization accuracy is improved, but computational complexity increases
Solution Approach 1:
The patent performs preliminary computation by pre-calculating the conformal map between the source and target meshes. This preliminary action allows the complex conformal mapping to be computed once and stored, enabling efficient real-time visualization without repeatedly performing the complex computational operations, thus reducing the effective computational burden during actual rendering.
Solution Approach 2:
The patent creates a copy of the conformal map relationship that can be efficiently applied to multiple target surfaces. By storing the conformal mapping as a reusable data structure, the system can apply this pre-computed transformation to various display configurations without reperforming the complex calculations, thereby reducing computational complexity while maintaining visualization accuracy.
3Loss of information
If fully immersive six-surface IC is implemented, then visual information is complete, but cost and construction difficulty increase
Solution Approach 1:
The patent introduces dynamic adaptability by allowing the conformal mapping to work with variable numbers of display surfaces. The system can dynamically adjust the target mesh configuration based on the available display surfaces, whether fully immersive (six surfaces) or partially immersive (fewer surfaces), maintaining visual information completeness through the flexible conformal transformation without requiring a fixed complex six-surface architecture.
Data Source
AI summary
Provided is a method for obtaining a conformal mapping of first image data corresponding to a source mesh to a target mesh, by generating a template of the source mesh and a template of the target mesh, processing the generated source mesh template and the generated target mesh template to obtain a conformal mapping from the source mesh to the target mesh, mapping the first image data corresponding to the source mesh to second image data corresponding to the target mesh according to the obtained conformal mapping, and outputting a mapped texture corresponding to the mapped second image data to the display corresponding to the target mesh.