Interactive augmented reality display
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.
1. A mobile device for providing an augmented reality display of a scene, comprising:
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 processor configured to:
display an image of the scene on the display;
receive real-time data associated with a mathematical relationship between a plurality of parameters;
overlay a three-dimensional plot and an information field over the displayed image, the three-dimensional plot representing the mathematical relationship of the real-time data, the information field configured to display and enable modification of one or more of the plurality of parameters;
determine curvature information associated with the three-dimensional plot;
display the curvature information on the three-dimensional plot;
modify an input of the plurality of parameters in response to a user action, update the curvature information based on the modification to the input;
display a modified three-dimensional plot using the updated curvature information and the modified input;
in response to selection of a point on the three-dimensional plot, display a plurality of vectors extending from the point and update the information field to display vector information associated with the plurality of vectors.
2. The mobile device of claim 1 , wherein the three-dimensional plot is derived using a Black-Scholes equation.
3. The mobile device of claim 1 , wherein the three-dimensional plot comprises a surface mesh with a heat map indicating mean curvature information.
4. The mobile device of claim 1 , wherein the processor is further configured to change a visualization mode of the three-dimensional plot from a first visualization mode to a second visualization mode.
5. The mobile device of claim 4 , wherein the first visualization mode comprises a normal mode in which a value at each point on the three-dimensional plot is mapped to a color spectrum, and wherein the second visualization mode comprises a curvature mode in which a mean curvature at each point on the three-dimensional plot is mapped to the color spectrum.
6. The mobile device of claim 1 , wherein the plurality of vectors indicate rate of change information for the real-time data at the selected point.
7. The mobile device of claim 1 , wherein the curvature information indicates rate of change information for the real-time data.
8. The mobile device of claim 1 , wherein the processor is further configured to display one or more two-dimensional plots that represent projections of the three-dimensional plot at the selected point.
9. The mobile device of claim 8 , wherein each of the one or more two-dimensional plots comprise a vector that corresponds to one of the plurality of vectors.
10. A method of providing an augmented reality display of a scene, the method comprising:
capturing a scene comprising one or more objects;
displaying an image of the scene on the display;
receiving real-time data associated with a mathematical relationship between a plurality of parameters;
overlaying a three-dimensional plot and an information field over the displayed image, the three-dimensional plot representing the mathematical relationship of the real-time data, the information field configured to display and enable modification of one or more of the plurality of parameters;
determining curvature information associated with the three-dimensional plot;
displaying the curvature information on the three-dimensional plot;
modifying an input of the plurality of parameters in response to a user action, update the curvature information based on the modification to the input;
displaying a modified three-dimensional plot using the updated curvature information and the modified input;
in response to selection of a point on the three-dimensional plot, displaying a plurality of vectors extending from the point and update the information field to display vector information associated with the plurality of vectors.
11. The method of claim 10 , wherein the three-dimensional plot is derived using a Black-Scholes equation.
12. The method of claim 10 , wherein the three-dimensional plot comprises a surface mesh with a heat map indicating mean curvature information.
13. The method of claim 10 , further comprising changing a visualization mode of the three-dimensional plot from a first visualization mode to a second visualization mode.
14. The method of claim 13 , wherein the first visualization mode comprises a normal mode in which a value at each point on the three-dimensional plot is mapped to a color spectrum, and wherein the second visualization mode comprises a curvature mode in which a mean curvature at each point on the three-dimensional plot is mapped to the color spectrum.
15. The method of claim 10 , wherein the plurality of vectors indicate rate of change information for the real-time data at the selected point.
16. The method of claim 10 , wherein the curvature information indicates rate of change information for the real-time data.
17. The method of claim 10 , further comprising displaying one or more two-dimensional plots that represent projections of the three-dimensional plot at the selected point.
18. The mobile device of claim 17 , wherein each of the one or more two-dimensional plots comprise a vector that corresponds to one of the plurality of vectors.