Touch Display Position Mapping Using Cubic Polynomial
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Solution Overview
Problem
Conventional touch display panels face inaccuracies in mapping touch positions from touch panels to display panels due to non-one-to-one correspondence between touch-sensing units and pixel units, especially at the boundaries, leading to reduced operative quality.
Innovation Solution
A touch position mapping method using a univariate cubic polynomial function to accurately map touch positions from a touch module to a display module, ensuring each position on the display area has corresponding touch-sensing functionality by employing a single fitting function for horizontal and vertical axis orientations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Area of stationary object
If two independent functions are used to map touch positions, then most of the touch area can be covered, but mapping accuracy deteriorates at boundary positions
Solution Approach 1:
The patent merges two separate mapping functions into a single unified mapping function that covers the entire touch area. This unified function uses a piecewise polynomial approach where multiple polynomial segments are continuously connected, ensuring both comprehensive area coverage and high mapping accuracy at boundaries without the discontinuities that occur when using two independent functions.
2Device complexity
If the touch area is made smaller to match the display area, then mapping becomes simpler, but the touch panel's operational area is reduced
Solution Approach 1:
The patent extends the mapping from a simple one-to-one correspondence to a two-dimensional coordinate transformation system. By introducing a unified mapping function that operates across both horizontal and vertical dimensions simultaneously, the system can handle the entire touch area without reducing its size, while maintaining manageable complexity through the use of piecewise polynomial mathematics.
3Measurement precision
If higher accuracy is demanded for the center touch area, then manufacturing precision requirements increase, but border areas remain less accurate
Solution Approach 1:
The patent applies local quality by using piecewise polynomial functions where different polynomial segments are optimized for different regions of the touch panel. This allows the mapping function to provide high accuracy in the center touch area where precision is most critical, while also maintaining acceptable accuracy in border areas, without requiring uniformly high manufacturing precision across the entire panel.
Data Source
AI summary
A touch display apparatus and a touch position mapping method thereof are provided, by mapping a touch position detected by a touch module to a display area of a display module according to one fitting function, so that a touch position on the display area of the display module may be determined according to a mapping result.