Interactive 3D Plot Overlay for Augmented Reality Displays
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Solution Overview
Problem
Existing augmented-reality devices lack the capability to effectively overlay interactive three-dimensional plots and information fields over real-time camera views, limiting user interaction and decision-making processes.
Innovation Solution
A mobile device equipped with a camera, display, processor, and memory, capable of receiving real-time data to overlay a three-dimensional plot derived from a Black-Scholes equation, along with an information field that allows users to modify parameters and view curvature information.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If augmented reality devices overlay static images on physical space, then the display provides basic visual information, but user interaction and decision-making capabilities are limited
Solution Approach 1:
The patent transforms static augmented reality displays into dynamic interactive systems. The three-dimensional plot dynamically responds to user actions (touch, gesture, voice) by updating mathematical models, recalculating parameters, and redistributing visual elements. This dynamic interaction enables users to explore complex relationships and make decisions in real-time, directly addressing the limitation of static displays while managing system complexity through targeted interactivity.
Solution Approach 2:
The system implements feedback mechanisms where user actions on the augmented reality display immediately influence the displayed information. When users interact with the three-dimensional plot, the system receives input signals, processes them through mathematical models, and updates the visualization accordingly. This closed-loop feedback enhances user interaction capability by allowing real-time exploration and decision-making.
2Loss of information
If the system overlays detailed three-dimensional plots and real-time data, then decision-making capabilities are enhanced, but the display complexity and processing requirements increase
Solution Approach 1:
The patent transitions from two-dimensional static images to three-dimensional interactive plots overlaid on augmented reality views. This dimensional enhancement allows the system to represent complex mathematical relationships and real-time data more effectively, reducing information loss while managing display complexity through spatial organization and interactive exploration capabilities.
Solution Approach 2:
The augmented reality display system serves multiple functions simultaneously: it provides visual information display, enables interactive exploration, supports real-time data processing, and facilitates decision-making. By integrating these functions into a unified system, the patent reduces overall complexity compared to separate specialized systems while maintaining comprehensive information capability.
3Productivity
If the system processes real-time data and updates three-dimensional plots dynamically, then the visualization becomes more responsive and useful, but the computational load and processing time increase
Solution Approach 1:
The system implements partial updates rather than complete recalculations when processing real-time data. When users interact with specific regions or when data changes occur, the system updates only the necessary portions of the three-dimensional plot and associated mathematical models, rather than processing the entire dataset from scratch. This selective processing approach maintains responsiveness and productivity while reducing overall computational energy consumption.
Data Source
AI summary
A mobile device may provide an augmented reality display of a scene. The mobile device may include a camera for capturing a scene comprising one or more objects, a display for displaying an image or video of the scene, a processor, and a memory. The mobile device may display an image of the scene on the display. The mobile device may receive real-time data associated with a mathematical relationship between a plurality of parameters. The mobile device may overlay a three-dimensional plot and an information field over the displayed image. The mobile device may display curvature information on the three-dimensional plot. The mobile device may display a modified three-dimensional plot using updated curvature information and/or a modified input. In response to selection of a point on the three-dimensional plot, the mobile device may display a plurality of vectors extending from the point indicating rate of change information.


