Pseudo-Random Dot Pattern Layout for Fast Uniform Distribution
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Solution Overview
Problem
Existing methods for creating pseudo random dot patterns are inefficient in achieving desired number density and periodicity in a short time.
Innovation Solution
A pseudo random dot pattern is created by arranging zigzag arrangements of dots at a predetermined pitch in the x direction with periodic alterations in the y direction, incorporating alternating positive and negative inclinations of the dots.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If conventional methods (linear feedback shift register or molecular dynamics) are used to create pseudo random dot patterns, then the pattern achieves desired uniformity and irregularity, but the creation process is time-consuming and difficult
Solution Approach 1:
The patent segments the dot pattern creation into two independent components: a periodic lattice structure (regular spacing) and a pseudo-random displacement field (irregular positioning). By separating the regular periodic arrangement from the random displacement, the method achieves both uniformity (from the lattice) and irregularity (from the displacement) efficiently, avoiding time-consuming conventional methods
Solution Approach 2:
The patent embeds a pseudo-random displacement pattern within a regular periodic lattice structure. The dot positions are determined by nesting the random displacement coordinates inside the lattice framework, allowing efficient generation of patterns that simultaneously exhibit both regular periodicity and random irregularity
2Quantity of substance
If dots are arranged to achieve high number density, then the pattern provides better coverage, but dots may overlap and regularity is lost
Solution Approach 1:
The patent applies different properties to different aspects of the dot arrangement: the lattice structure provides regular local spacing to prevent overlap, while the displacement field introduces local random variations. This local differentiation allows high number density without dot overlap, maintaining both quantity and compositional stability
Data Source
AI summary
A pseudo random dot pattern is easily created by a geometric approach. A pseudo random dot pattern 1A is created by arranging zigzag arrangements R at a predetermined pitch in an x direction on an xy plane while periodically altering positions thereof in a y direction, the zigzag arrangements R each including an arrangement Rb and an arrangement Rc repeatedly provided at predetermined intervals in the y direction, the arrangement Rb including dots arranged at a positive inclination, the arrangement Rc including dots arranged at a negative inclination.