Pseudo Random Dot Pattern Creation via Oblique Lattice Segmentation
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Solution Overview
Problem
Conventional methods for creating pseudo random dot patterns are time-consuming and not easily adaptable for achieving desired number density and periodicity.
Innovation Solution
A method involving the repeated disposition of first and second oblique lattice regions on an xy plane, where dot arrangement axes in the first region cross the x direction at angle α and in the second region cross at angle -α, ensuring a pseudo random dot pattern with uniformity and irregularity.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If conventional methods (linear feedback shift register or molecular dynamics) are used to create pseudo random dot patterns, then the pattern can prevent moiré fringes and ensure uniformity, but the creation process is time-consuming and difficult to adapt for desired number density and periodicity
Solution Approach 1:
The patent divides the pseudo random dot pattern creation into two distinct segments: a first oblique lattice region with arrangement axes in direction b crossing x-axis at angle α, and a second oblique lattice region with arrangement axes in direction c (reverse to b) crossing x-axis at angle -α. This segmentation allows independent optimization of each region's parameters, enabling precise control over number density and periodicity while maintaining high creation speed through systematic arrangement.
2Manufacturing precision
If dots are arranged in a completely random manner, then the pattern appears unpredictable, but it becomes difficult to control number density uniformity and prevent dot overlap
Solution Approach 1:
The patent applies local quality by creating two types of oblique lattice regions with different orientation characteristics. The first region has arrangement axes inclined at +α angle while the second region has arrangement axes inclined at -α angle. This local differentiation in arrangement quality within different regions achieves overall uniform dot distribution while maintaining controlled regularity, preventing both dot overlap and moiré fringes.
3Ease of manufacture
If a simple lattice structure is used, then the pattern is easy to create, but it produces visible regularity that causes moiré fringes
Solution Approach 1:
The patent eliminates moiré fringes by introducing asymmetry through oblique lattice arrangements. Instead of using symmetric orthogonal lattices, the first region uses arrangement axes inclined at +α angle and the second region uses arrangement axes inclined at -α angle. This asymmetric oblique arrangement disrupts the periodicity that causes moiré fringes while maintaining systematic structure for ease of manufacture.
Data Source
AI summary
A pseudo random dot pattern that is created easily by a geometric approach. The pseudo random dot pattern includes a first oblique lattice region and a second oblique lattice region repeatedly disposed at predetermined intervals in a y direction on an xy plane, a plurality of dot arrangement axes a1 on which dots are disposed at a predetermined pitch in an x direction being arranged in a b direction obliquely crossing the x direction at an angle α in the first oblique lattice region, a plurality of dot arrangement axes a2 on which dots are disposed at a predetermined pitch in the x direction being arranged in a c direction reverse to the b direction with respect to the x direction in the second oblique lattice region.