Polygonal Lenticular Lens Array for High-Definition 3D Imaging

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Solution Overview

Problem

Existing lenticular imaging systems face limitations in achieving high lens density and clarity due to 'flooding' issues, which restrict the packing of lenses and their height, leading to suboptimal visual effects and increased manufacturing costs.

Innovation Solution

The use of transparent polygonal lenses, such as hexagonal lenses, printed directly on the substrate over a graphic image layer, allows for closer packing and increased height without flooding, enhancing the visual illusion of depth and clarity.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Quantity of substance

If circular or linear lenses are used in lenticular arrays, then the lenses can be formed with conventional printing methods, but the lenses must be spaced apart to avoid flooding which reduces the magnifying lens area percentage

Engineering Contradiction:
Improvemagnifying lens material area percentageVSAvoidlens spacing uniformity
Core Design Contradiction:
Quantity of substanceVSManufacturing precision

Solution Approach 1:

The patent applies triangular lens geometry with curved sides that converge to points, allowing lenses to pack more densely than circular lenses while maintaining manufacturability. The triangular shape with approximately 60-degree angles enables closer spacing without flooding, increasing the magnifying lens material area percentage from typical circular array values to over 90% in the optimized design.

Inventive Principle:
Principle #14Spheroidality (Curvature)

Solution Approach 2:

The patent changes the geometric parameters of the lenses from circular to triangular with specific angle measurements (approximately 60 degrees). This parameter change allows the lenses to be positioned closer together while maintaining structural integrity and preventing flooding, thereby increasing the overall magnifying lens area in the array.

Inventive Principle:
Principle #35Parameter changes

2Length of moving object

If lens height is increased to maximize magnification, then the visual effect is improved, but flooding occurs when surface tension is insufficient to prevent lens merging

Engineering Contradiction:
Improvelens heightVSAvoidflooding
Core Design Contradiction:
Length of moving objectVSObject-generated harmful factors

Solution Approach 1:

The triangular lens geometry with curved sides and point convergence creates capillary action that enhances surface tension effects. This geometric configuration allows taller lenses to be formed without flooding because the triangular shape provides natural reinforcement against lateral spreading during the printing and curing process.

Inventive Principle:
Principle #14Spheroidality (Curvature)

Solution Approach 2:

The patent employs a printing process that cures the lens material during or immediately after deposition, preventing flooding before it can occur. The triangular geometry is designed with predetermined dimensions that anticipate and counteract the flooding tendency, allowing maximum lens height to be achieved safely.

Inventive Principle:
Principle #9Preliminary anti-action

3Manufacturing precision

If non-polygonal lenses are used, then simpler shapes can be printed, but the non-magnifying space between lenses increases reducing image definition

Engineering Contradiction:
Improveimage definitionVSAvoidlens geometry complexity
Core Design Contradiction:
Manufacturing precisionVSDevice complexity

Solution Approach 1:

The patent uses triangular lenses with curved sides rather than straight edges, creating a shape that is more complex than simple geometric forms but still manufacturable. This curved triangular geometry allows the lenses to pack more densely, reducing non-magnifying space between lenses and improving image definition while maintaining reasonable manufacturing complexity.

Inventive Principle:
Principle #14Spheroidality (Curvature)

Solution Approach 2:

The lens array is segmented into repeating triangular units that can be printed in a systematic pattern. This segmentation approach allows the complex triangular geometry to be manufactured efficiently by breaking down the overall array into manageable repeating elements that follow a consistent printing pattern.

Inventive Principle:
Principle #1Segmentation

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

This approach results in improved definition and depth of images, reducing non-magnifying areas and increasing the concentration of magnifying lenses, thereby enhancing the three-dimensional effects while minimizing manufacturing costs.

Implementation Method 1

a plurality of clear geometric lenses formed over the surface of the graphic image, wherein said plurality of clear geometric lenses are oriented above said micro-pattern image such that each individual clear geometric lens magnifies a portion of said micro-pattern image

Methodology Applied
Scientific EffectRefraction: Refraction

Data Source

PatentUS7609451B1Printed article for displaying images having improved definition and depth
Publication Date: 2009.10.27 SERIGRAPH INC
  • US7609451B1 patent drawing
  • US7609451B1 patent drawing
  • US7609451B1 patent drawing

AI summary

Disclosed are printed articles and methods for manufacturing printed articles. The printed articles typically include: (a) a substrate having a top surface and a bottom surface; (b) a graphic image layer comprising a plurality of images printed on at least one surface of the substrate; and (c) a plurality of polygonal lenses printed or formed on at least one surface of the substrate above the graphic image layer, wherein the polygonal lenses are clear, magnifying, convex lenses. The lenses may selectively magnify portions of the array of images to create a plurality of images that appear and disappear or images that float under or on top of the graphic image when viewed from different perspectives.