2D Graphics Perspective Projection via Variable Ratio Scaling
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Solution Overview
Problem
Conventional methods for rendering 2D graphics in 3D are inefficient, as they cannot output graphics data continuously and struggle to incorporate anti-aliasing filters, making it difficult to improve output quality and implement in hardware.
Innovation Solution
A method and device that generate a perspective projection of 2D graphics by scaling with a variable ratio, using an interpolation filter to produce a point in the perspective projection from a point in the 2D graphics, allowing for continuous output and improved graphics quality.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If conventional point-to-point 3D perspective projection algorithm is used, then 2D graphics can be rendered as 3D graphics, but the algorithm cannot output graphics data continuously and anti-aliasing filter is hard to be combined
Solution Approach 1:
The patent replaces the conventional point-to-point coordinate transformation algorithm with a scan-line based rendering approach. Instead of processing points individually through complex perspective projection equations, the system processes entire scan lines by scaling the 2D graphics with a variable ratio and applying interpolation filters, enabling continuous output of graphics data while simplifying the implementation for hardware
Solution Approach 2:
The patent introduces a variable scaling ratio parameter that changes along the scan line to achieve perspective projection effects. By dynamically adjusting the scaling ratio from left to right across each scan line, the system creates the illusion of 3D perspective without requiring complex point-by-point projection calculations, thus enabling continuous output while maintaining algorithm simplicity
2Ease of manufacture
If conventional 2D to 3D rendering algorithm is used, then graphics transformation can be achieved, but it is hard to implement by hardware
Solution Approach 1:
The patent segments the rendering process into discrete scan lines, where each scan line is processed independently through scaling and filtering operations. This segmentation allows the complex rendering task to be broken down into simple, hardware-friendly operations that can be executed in parallel across multiple scan lines, making the system easy to implement in hardware while maintaining high graphics quality through systematic processing of each segment
Solution Approach 2:
The patent introduces an interpolation filter as an intermediary component between the scaled graphics and the final output. This filter mediates the transformation process by smoothly interpolating pixel values across the variable scaling ratio, ensuring high graphics quality while keeping the overall algorithm simple and hardware-implementable through standard filtering operations
3Manufacturing precision
If variable ratio scaling with interpolation filter is used, then continuous output and improved graphics quality are achieved, but the processing steps increase
Solution Approach 1:
The patent merges the scaling operation and interpolation filtering into a unified scan-line based processing step. Instead of separating these operations into distinct complex stages, the system combines them into a single pass through the graphics data, where scaling by variable ratio and filtering are performed together for each scan line, thus achieving high graphics quality without proportionally increasing processing complexity
Data Source
AI summary
A method of processing 2D graphics comprising generating a perspective projection of a 2D graphics by scaling the 2D graphics with a variable ratio, wherein scaling the 2D graphics with the variable ratio comprises interpolating the graphics with a filter, such that a point xp in the perspective projection is generated from a point x0 in the 2D graphics with a following equation x0=1/R(j)*xp+Ph(j), wherein j represents a line index of the point x0, 1/R(j) represents a scaling factor of a length in the 2D graphics versus a length in the perspective projection, and Ph(j) represents a phase shift.