3D Image Space Mapping for Faster 2D Image Transformation
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Solution Overview
Problem
Existing image transformation methods between different two-dimensional image spaces require numerous mathematical projections, leading to high processing time and memory overhead, especially when dealing with larger image spaces.
Innovation Solution
A three-dimensional image transformation method that utilizes a three-dimensional image space to project and map two-dimensional coordinates of different image spaces, reducing the need for multiple forward and reverse projections by using a universal image mapping space.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of time
If two-dimensional image projection methods are used to transform between different image spaces, then image transformation can be achieved, but processing time and memory overhead increase significantly
Solution Approach 1:
The patent introduces a three-dimensional image space as an intermediary between different two-dimensional image spaces. Instead of performing direct complex projections between 2D spaces, the system transforms images to 3D space first, then to the target 2D space, simplifying the overall transformation process and reducing computational complexity
Solution Approach 2:
The patent transitions from two-dimensional image spaces to a three-dimensional image space to resolve transformation conflicts. By adding the third dimension, the system creates a universal intermediate space that can accommodate multiple 2D projections without requiring complex direct transformations between incompatible 2D spaces
2Quantity of substance
If direct two-dimensional image projection is used, then image transformation is possible, but memory footprint increases with larger image spaces
Solution Approach 1:
The three-dimensional image space serves as a universal container that can accommodate multiple different two-dimensional image spaces. This single 3D space can transform to various 2D formats (equirectangular, fisheye, cubemap, etc.), making the system adaptable to different image formats without requiring separate transformation logic for each pair of 2D spaces
3Productivity
If multiple forward and reverse projections are performed, then accurate image transformation is achieved, but processing speed decreases
Solution Approach 1:
The system performs preliminary transformation to the three-dimensional image space once, establishing a common reference frame. Subsequent transformations to different target 2D spaces are then more efficient because they all originate from the same 3D representation, avoiding repeated forward and reverse projections
Data Source
AI summary
A three-dimensional image transformation, executing on one or more computer systems, can mathematically transform a first two-dimensional image space onto a second two-dimensional image space using a three-dimensional image space. The three-dimensional image transformation can project the three-dimensional image space onto the first two-dimensional image space to map the first two-dimensional image space to the three-dimensional image space. Thereafter, the three-dimensional image transformation can project the second two-dimensional image space onto the three-dimensional image space to map the three-dimensional image space to the second two-dimensional image space.