3D Graphics Perspective Correction via Adaptive Interpolation

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Solution Overview

Problem

Conventional 3D graphics processing methods require high computational power and result in long processing times and high power consumption due to the need for hyperbolic interpolation across all pixels for perspective correction, even when perspective distortion is minimal.

Innovation Solution

A method that selectively applies perspective correction based on the amount of distortion by calculating a reference value indicating the distortion and interpolating attribute values only for pixels that require it, using hyperbolic interpolation for affected pixels and linear interpolation for others.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Manufacturing precision

If hyperbolic interpolation is applied to all pixels for perspective correction, then perspective distortion is corrected, but computational power consumption and processing time increase significantly

Engineering Contradiction:

Improveperspective distortion correctionVSAvoidprocessing time

Core Design Contradiction:

Manufacturing precisionVSProductivity

Solution Approach 1:

The patent applies different interpolation methods to different regions of the image based on the degree of perspective distortion. Areas with significant distortion use hyperbolic interpolation, while areas with minimal distortion use linear interpolation. This local differentiation optimizes computational resources by applying complex calculations only where necessary, resolving the contradiction between distortion correction quality and processing speed.

Inventive Principle:

Principle #3Local quality

Solution Approach 2:

The patent dynamically adjusts the interpolation method parameter based on the calculated perspective distortion magnitude. When distortion exceeds a threshold, hyperbolic interpolation is activated; when below the threshold, linear interpolation is used. This parameter change strategy enables adaptive performance optimization, balancing accuracy and speed according to actual image characteristics.

Inventive Principle:

Principle #35Parameter changes

2Manufacturing precision

If hyperbolic interpolation is applied to all pixels for perspective correction, then perspective distortion is corrected, but power consumption increases significantly

Engineering Contradiction:

Improveperspective distortion correctionVSAvoidpower consumption

Core Design Contradiction:

Manufacturing precisionVSUse of energy by stationary object

Solution Approach 1:

The patent implements localized perspective correction by applying hyperbolic interpolation only to pixel regions experiencing significant perspective distortion, while using computationally lighter linear interpolation for regions with minimal distortion. This spatially adaptive approach reduces overall energy consumption while maintaining correction quality where needed.

Inventive Principle:

Principle #3Local quality

Solution Approach 2:

Instead of applying full hyperbolic interpolation to all pixels (excessive action), the patent applies it partially only to pixels requiring correction based on distortion analysis. This partial action strategy eliminates unnecessary computational energy expenditure while preserving essential correction functionality.

Inventive Principle:

Principle #16Partial or excessive action

3Manufacturing precision

If perspective correction is applied to all pixels, then image quality is maintained, but unnecessary computation increases processing time

Engineering Contradiction:

Improveimage qualityVSAvoidprocessing time

Core Design Contradiction:

Manufacturing precisionVSLoss of time

Solution Approach 1:

The patent performs a preliminary analysis to identify regions with significant perspective distortion and applies hyperbolic interpolation only to those local regions. Areas with minimal distortion are processed using faster linear interpolation. This local quality approach maintains image quality where distortion exists while reducing processing time by avoiding unnecessary computations in distortion-free regions.

Inventive Principle:

Principle #3Local quality

Solution Approach 2:

The patent dynamically selects the interpolation method based on real-time distortion analysis. The system adapts its processing strategy according to the actual image content and distortion characteristics, switching between hyperbolic and linear interpolation methods as needed. This dynamic adaptation optimizes the balance between image quality preservation and processing speed.

Inventive Principle:

Principle #15Dynamics

Data Source

PatentUS8072464B23-dimensional graphics processing method, medium and apparatus performing perspective correction

Publication Date: 2011.12.06 SAMSUNG ELECTRONICS CO LTD

AI summary

A 3D graphics processing method includes receiving a homogeneous coordinate and an attribute value of both end points of one scan line of a polygon composed of a plurality of perspective projected vertices, calculating a reference value indicating an amount of perspective distortion in the scan line using the received homogeneous coordinates, and interpolating an attribute value of each of pixels of the scan line using at least some of the received homogeneous coordinates and attribute values, the attribute value interpolated by selectively applying perspective correction to each pixel based on the reference value.