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Parallax barrier

A parallax barrier is an optical device composed of alternating opaque and transparent vertical slits placed in front of a , such as a screen, that enables the viewing of stereoscopic or multiscopic three-dimensional images without requiring special by selectively directing from interleaved left-eye and right-eye columns to the respective eyes of the observer based on the principle of . The concept originated in the early 20th century when American inventor Frederic Eugene Ives developed the parallax stereogram, presenting it publicly on December 5, 1901, at the and securing U.S. Patent No. 725,567 in 1903 for a process that combined two stereoscopic images into fine juxtaposed lines behind a line-screen of opaque and transparent strips to produce a glasses-free effect through . This pioneering technique laid the foundation for autostereoscopic displays, which rely on the barrier's slits—functioning like a grid of pinholes—to project separated views, allowing each eye to perceive depth from a specific viewpoint without additional . In contemporary applications, parallax barriers are implemented using layers that can be electronically switched on and off to form the slits dynamically, as seen in devices like the handheld console, where the barrier interleaves sub-pixel images to create an illusion of depth visible only from the optimal angle. While effective for portable and , this technology reduces display brightness by blocking up to half the light and limits the viewing sweet spot due to fixed slit positioning, prompting ongoing research into adaptive barriers and hybrid methods to improve resolution, , and multi-viewer support.

Fundamentals

Principle of Operation

A parallax barrier is a passive optical consisting of alternating opaque and transparent vertical placed in front of a to selectively block light rays, thereby enabling the creation of viewpoint-dependent images for autostereoscopic viewing. This device functions without requiring special eyewear, relying instead on the geometric arrangement of to separate visual information based on the observer's position. The parallax barrier exploits the parallax effect, which refers to the apparent shift in the position of objects when viewed from different angles, to deliver distinct to each eye. In operation, the display behind the barrier presents interlaced sub-—typically alternating vertical strips of left-eye and right-eye content—with a spatial arrangement that matches the barrier's slit pattern. As light emanates from these sub-, the opaque regions of the barrier obscure rays destined for the wrong eye, while the slits permit only those rays aligned with the intended eye's position to pass through, based on the observer's inter-pupillary separation and distance from the display. This selective transmission creates the illusion of depth by ensuring , where the left eye receives exclusively the left-view and the right eye receives the right-view within defined viewing zones. Ray tracing illustrates this mechanism: consider rays originating from a left-eye on the ; these rays pass unobstructed through a nearby slit toward the left eye of a viewer at the optimal distance, but are blocked by adjacent opaque barriers from reaching the right eye. Conversely, rays from a right-eye are routed similarly but to the opposite eye, with the barrier's enforcing mutual exclusivity in paths. This directional control depends on the precise alignment of positions relative to slits, preventing and maintaining image isolation across the horizontal viewing field. The mathematical foundation stems from the of human vision and setup. The angular separation θ necessary for stereoscopic perception approximates the inter-pupillary distance divided by the viewing distance: \theta \approx \frac{d}{L} where d is the typical inter-pupillary distance of 65 mm and L is the observer's distance from the . Viewing zones, regions where proper stereo separation occurs, are derived from the barrier pitch p_b (distance between slits) and pixel spacing p_p on the , often with p_b = 2 p_p for a two-view system to match left-right interlacing. The zone width w at distance L follows from similar triangles in the : w = p_b \cdot \frac{L}{g} where g is the gap between the barrier and display; this ensures rays from adjacent pixels diverge sufficiently to align with eye separation, defining the lateral extent of valid head positions for 3D viewing. A prerequisite for 3D perception is the display of interlaced left and right images, where content is subdivided into fine vertical strips corresponding to each eye's viewpoint, often requiring doubled horizontal resolution or sub-pixel utilization to avoid resolution loss while preserving full vertical detail.

Basic Components

The display panel serves as the foundational image source in a parallax barrier system, typically utilizing a liquid crystal display (LCD) or organic light-emitting diode (OLED) panel configured with interlaced pixel arrays. These arrays alternate sub-pixels dedicated to left-eye and right-eye images, allowing the system to deliver stereoscopic content by spatially multiplexing the views across the panel's resolution. The barrier layer is a critical optical , comprising a thin sheet featuring precisely spaced alternating transparent slits and opaque regions that selectively block and permit rays from specific sub-pixels. This layer is often fabricated via on or substrates, incorporating a black matrix structure for the opaque sections to achieve the necessary . Materials for the opaque regions commonly include or resin-based polymers to ensure high optical , while the slits maintain high to preserve image brightness. The overall thickness of the barrier layer is typically on the order of tens to hundreds of micrometers, designed to minimize optical distortions such as moiré patterns arising from between the barrier periodicity and the display's grid. Integration of the barrier layer with the display panel occurs through methods such as direct onto the panel surface or within the assembly, ensuring minimal air gap for accurate ray control and reduced . This close coupling maintains the geometric relationship required for effective separation. Viewer positioning is essential for optimal performance, requiring a fixed head location within a horizontal of approximately ±20° to align the eyes with the designated viewing zones where left- and right-eye rays are properly isolated.

Historical Development

Early Concepts

The concept of stereoscopic viewing predates the parallax barrier, with introducing the in 1838 as a device that used mirrors to present separate images to each eye, laying foundational groundwork for without relying on barrier mechanisms. A pivotal advancement occurred in 1901 when Frederic Eugene Ives demonstrated the parallax stereogram, an autostereoscopic viewer employing fine ruled lines as opaque barriers to interlace and separate left- and right-eye images on a single transparency, enabling glasses-free perception. This invention, patented in 1903, marked the first practical application of barrier strips for ray separation in stereoscopic displays. Early implementations of parallax barriers faced significant technical hurdles, including reduced from the mechanical ruling process that halved visible pixels for each eye and required exact between the barrier slits and interlaced image strips to avoid or ghosting. These challenges limited and viewing freedom, as misalignment could distort the effect essential for depth. By the 1930s, parallax barrier technology gained public visibility through demonstrations at World's Fairs, such as the 1933 , where stereoscopic viewers displayed scenes for audiences. Theoretical foundations for -based displays evolved in the through work on , enabling dynamic control of light paths in autostereoscopic systems.

Modern Advancements

In the late 1990s and early 2000s, companies such as and advanced the integration of parallax barriers with displays (LCDs), enabling switchable 2D/3D autostereoscopic systems that improved viewing flexibility and reduced the need for mechanical components. pioneered high-resolution multiview displays using dynamic barriers, while developed layered LCD configurations for parallax control, laying the groundwork for . A significant milestone occurred in 2011 with the release of the , the first mass-market handheld device employing a parallax barrier for glasses-free viewing, which sold 75.94 million units as of 2025 and demonstrated practical viability in portable formats. This commercialization spurred further innovation in autostereoscopic displays. During the , research in enabled improvements in parallax barriers, including sub-micron features to enhance resolution and reduce moiré effects while addressing trade-offs in and light efficiency. Developments from 2020 to 2025 have focused on flexible and adaptive parallax barriers, including polymer-based modulators for bendable displays and algorithms for interlacing optimization and depth mapping calibration. In multiview systems, techniques to reduce aberrations have improved perceived depth in dynamic environments. In applications, metasurface have enabled glasses-free displays with expanded fields of view, such as up to 47° in hybrid systems, facilitating blending of virtual elements.

Design Principles

Pixel and Barrier Geometry

In parallax barrier systems, pixel separation is achieved through horizontal interlacing, where left-eye and right-eye sub-pixels are arranged in an alternating pattern by half the pixel pitch, allowing the barrier slits to direct selectively to each eye. This ensures that the left eye views only the left-image sub-pixels and the right eye views only the right-image sub-pixels when the viewer is at the optimal position. The barrier pitch P_b, defined as the combined width of one slit and the adjacent opaque region, interacts with the pixel pitch P_p (the between corresponding sub-pixels in the interlaced ) to determine viewing zones. For practical stereoscopic setups with small barrier-display separation z and typical viewing L (300–500 mm), P_b \approx P_p (1 - D/L), where D ≈ 65 mm is eye separation, ensuring effective separation while keeping z small. The viewing distance L is derived from geometric ray tracing and given by L = \frac{P_p \cdot D}{P_p - P_b}, where D is the typical eye separation (approximately 65 mm). This equation establishes the position where rays from adjacent sub-pixels converge at the viewer's eyes, assuming the barrier is closely spaced to the display (z ≈ 0); for finite z, the effective viewing distance or barrier pitch must be adjusted using the full geometric model, such as L \approx \frac{z \cdot (P_p + D)}{P_p}. Deviations adjust the effective L. To mitigate moiré patterns arising from periodic interference between the barrier and pixel arrays, the design approximates P_b \approx P_p, reducing low-frequency artifacts through period matching or slight detuning. Slit and aperture ratios further refine performance, with a typical slit width of 50% of the barrier balancing throughput (to maintain ) against view separation (to reduce ). This ratio allows sufficient passage while blocking unintended rays, though it inherently halves the display's effective per eye. Traditional descriptions of parallax barrier geometry often overlook advancements in sub-pixel arrangements for emerging displays like OLEDs in the , such as triangular periodicity sub-pixel architectures that enhance multiview distribution and reduce moiré in high-resolution panels.

Optimization Factors

Optimization of parallax barrier designs involves tuning key parameters to balance image quality metrics such as brightness, , and viewing uniformity. The aperture ratio, defined as the proportion of open area in each relative to its total size, is ideally set around 50% in stereoscopic configurations to minimize loss while ensuring adequate separation of left and right views. This value arises from the geometric requirement that, for a two-view , half the must be directed to each eye, preventing overlap that would degrade . In practice, deviations from this ideal, such as lower ratios in displays (e.g., 16-18%), are compensated by structural modifications to capacitors and protrusions, yielding up to 60% improvements in overall optical efficiency without added power draw. The barrier slit width w_s, relative to the barrier pitch P_b, is another critical , often optimized at w_s = P_b / 2 to achieve balance in two-view systems by equally apportioning to adjacent views while blocking . This setting maximizes the between and separation, as wider slits enhance light throughput but increase unintended view leakage. Light \eta can be approximated as \eta \approx (w_s / P_b) \times ( aperture ratio), reflecting the combined transmission through both layers; for a 50% barrier and matching pixel openness, this yields roughly 25% overall efficiency before additional losses. Recent engineering approaches enlarge w_s to approximately twice the subpixel width, improving uniformity across viewing zones when paired with eye-tracking to suppress off-angle pixels. Further optimization considers viewer geometry, where the optimal w_s derives from the desired viewing angle \alpha = \atan(P_p / (2L)), with P_p as pitch and L as viewing , defining the half-angular extent of each view zone. Wider slits expand \alpha for broader head motion tolerance but elevate , quantified as the ratio of adjacent-zone brightness to peak-zone brightness (e.g., reduced to ≤7% via dynamic adjustments). To mitigate optical losses, refractive index matching between the display panel, barrier, and intermediate media minimizes reflections and aberrations at interfaces, preserving up to 50% more light by reducing Fresnel losses and refraction-induced distortions. Contemporary optimization leverages -tracing simulations to explore multi-dimensional parameter spaces, predicting distributions, under misalignments, and efficiency for varied slit geometries without physical prototyping. These tools model subpixel-to-eye paths, incorporating aberrations like Petzval , to iteratively refine w_s and apertures for specific applications, achieving below 5% in wide-angle prototypes. Such simulations address gaps in traditional geometric models by accounting for and real-world imperfections, enabling high-impact designs in autostereoscopic displays.

Positioning and Alignment

The optimal positioning of the parallax barrier relative to the surface is determined by geometric considerations to ensure proper separation of rays for each eye. The z between the and the barrier is approximately z \approx \frac{P_p \cdot L}{D}, where P_p is the pixel pitch of the , L is the nominal viewing , and D ≈ 65 mm is eye separation; this placement aligns the barrier slits such that sub-pixels intended for the left and right eyes project to distinct viewing zones at L. In thin-profile autostereoscopic s, such as those using stacked layers, this typically ranges from 0.5 to 2 mm to maintain compactness while supporting effective parallax separation. Precise alignment of the barrier pattern with the underlying display pixels is essential to prevent optical artifacts like moiré patterns or unintended light leakage. Manufacturing tolerances demand sub-micron precision in layer registration, often achieved through fiducial markers that serve as reference points for automated alignment during assembly. Calibration processes further refine this alignment to sub-pixel accuracy, using computer vision techniques to compute homographies between the barrier and image layers based on captured patterns. For the viewer, effective 3D perception is confined to a specific sweet spot, defined by the geometry of the barrier and . The horizontal freedom of movement \Delta x within this zone, where both eyes receive the correct views without significant , is approximately \Delta x \approx w_s \cdot \frac{L}{z}, where w_s is the slit width; for typical parameters (w_s ∼ 50 μm, L = 300 mm, z = 0.5 mm), this yields ∼3 cm, allowing limited lateral head movement (∼2–5 cm) before view inversion or degradation occurs. Misalignment in barrier positioning or viewer from the sweet spot results in increased , manifesting as ghosting where elements from one eye's image leak into the other, or even inverted stereoscopic views that reverse . Advances in this area include vision-based auto-calibration methods that employ embedded cameras or sensors to dynamically detect and correct for shifts, as demonstrated in systems achieving sub-pixel adjustments without . For finite barrier-display separation z, the viewing distance is adjusted to L \approx \frac{z \cdot D}{P_p - P_b}, but approximations like z \approx P_p L / D are used in design.

Advanced Techniques

Switching Mechanisms

Switching mechanisms in parallax barriers enable displays to toggle between and modes, or support multiple viewpoints, by dynamically controlling the opacity of barrier . Passive barriers are fixed structures that remain opaque in designated regions, limiting displays to a single mode without the flexibility for switching. In contrast, active barriers employ electro-optic materials to modulate , allowing seamless transitions between modes. Liquid crystal (LC) technologies dominate active switching due to their compatibility with existing display manufacturing. A common approach uses twisted nematic (TN) LC cells positioned over the barrier slits, where an applied voltage rotates the LC molecules to alter and thus control opacity. These cells typically operate within a voltage range of 0-5 V, achieving switching times under 100 ms, enabling mode changes. Alternatives to LC-based switching include and electrochromic methods, which offer potential advantages in response speed for specific applications. barriers use voltage to manipulate fluid interfaces within slits. Electrochromic barriers, integrating materials that change color under , have been proposed for integrated / displays but generally exhibit slower switching and are less mature for high-speed applications. For multi-view displays supporting more than two viewpoints, switching mechanisms can sequentially activate different slit patterns through time-multiplexing. This involves rapidly cycling barrier configurations—often using fast ferroelectric or polymer-dispersed films—to present multiple perspectives in succession, reducing while maintaining full-resolution capability when deactivated.

Resolution Enhancement Methods

Time multiplexing addresses the inherent resolution reduction in parallax barrier systems, where the spatial division of pixels among multiple views typically halves the effective per eye for stereoscopic displays. By rapidly alternating between left- and right-eye images synchronized with the barrier's state, the full pixel array can be utilized for each view sequentially, effectively providing the per view. This technique leverages high-refresh-rate displays, such as those operating at 120 Hz, to deliver a 60 Hz experience per eye, as the human integrates the alternating frames seamlessly. In practice, full-resolution imaging is achieved by intermittently switching the barrier off during specific frames, allowing the display to render uncompromised 2D content at before re-engaging the barrier for stereoscopic views. Alternatively, dual-layer barriers can be employed, where two stacked barriers modulate light paths to assign pixels more efficiently across views, maintaining full horizontal and vertical resolution while supporting multi-view . These approaches ensure that each eye receives high-definition imagery, such as Full HD per view, by optimizing the temporal or layered allocation of display resources. The effective resolution in time-multiplexed systems retains the native per view by the by the number of views, allowing each to be reused. For binary stereoscopic setups, this requires doubling the (e.g., 120 Hz for 60 Hz per eye). Challenges in implementation include from rapid frame transitions, which can degrade perceived sharpness during dynamic content. Mitigation strategies involve pixel overdrive techniques to accelerate response, reducing transition times by up to 50%, and strobing to insert black frames, minimizing sample-and-hold while preserving . These methods are critical for maintaining image fidelity at rates exceeding 120 Hz. Recent advancements, such as the 2025 integration of random barriers with time-multiplexed backlights in light field displays, further enhance resolution by suppressing moiré and supporting up to 11 with balanced and vertical clarity, approaching holographic quality through combined temporal and spatial modulation.

Adaptive and Tracking Systems

Adaptive and tracking systems in barriers enable dynamic adjustment of the barrier to accommodate viewer , significantly expanding the effective viewing beyond the narrow typical of fixed configurations. Head tracking is typically achieved using cameras for facial recognition or () sensors to detect eye positions in , allowing the system to electronically shift the slit accordingly. For instance, in the Portallax system, a performs face tracking to realign the barrier, providing viewing with motion over a 60-degree , compared to the approximately 10-20 degrees in static setups. This adjustment ensures that the left and right eye views remain correctly separated as the viewer moves, maintaining stereoscopic fidelity. Slit shifting in these systems can be implemented mechanically or optically to follow the tracked viewer . Mechanical methods employ piezo actuators to physically translate the barrier layer, enabling precise sub-pixel adjustments with high speed. Optical approaches, such as (LC) gradient index layers, allow electronic reconfiguration of the slit positions by modulating the , achieving response times under 50 milliseconds to minimize during head movements. In the Dynallax display, for example, an LC-based dynamic barrier shifts patterns electronically based on sensor input, supporting rapid updates without mechanical components. For multi-user scenarios, algorithms process inputs from multiple tracking sensors to simultaneously accommodate 2-4 viewers, often employing pose estimation techniques to map head positions and assign independent view channels. The Dynallax system demonstrates this capability for two users, using dual sensors to generate four eye channels (left and right for each), with software algorithms computing barrier adjustments to direct rays to each viewer's eyes independently. These systems offer key benefits, including reduced during viewer motion—where fixed barriers might cause view mixing—and broader , such as up to 30 degrees versus 10 degrees in static designs. The required slit shift \Delta s can be calculated as \Delta s = \frac{\Delta x \cdot t}{t + d}, where \Delta x is the horizontal viewer , t is the optical thickness between the and barrier, and d is the viewer distance from the ; this ensures rays from sub-pixels align with the new eye positions. In the , advances have incorporated eye-tracking into headsets, with dynamic parallax barriers explored for compact, lightweight integrations to support and adaptive in devices like experimental near-eye s.

Applications

Stereoscopic Displays

Parallax barriers enable autostereoscopic stereoscopic displays by directing separate images to each eye without requiring , creating a effect through the separation of left and right views based on viewer position. This technology has been integrated into various consumer and professional displays to enhance in visual content. In autostereoscopic televisions and monitors, barriers support multi-view configurations for glasses-free viewing. These systems typically employ a slit-patterned layer over an LCD to multiplex views, providing immersive experiences for and visualization applications. Handheld devices have popularized parallax barriers in portable gaming through the , which uses a dynamic parallax barrier LCD to deliver glasses-free visuals. The barrier layer, controllable via electrical switching, alternates between 2D and stereoscopic modes, directing subpixel images to each eye for depth in games like . This implementation supports viewer head movement within a narrow zone, enhancing engagement in mobile environments without additional accessories. In automotive heads-up displays (HUDs), parallax barriers facilitate separated stereoscopic views for drivers and passengers, improving safety and information layering. Kyocera's -AR HUD, for example, incorporates a parallax barrier with eye-tracking to project high-quality and alerts onto the , ensuring the driver receives a tailored view while passengers see distinct content. This approach minimizes distraction by aligning virtual elements with real-world scenery, as demonstrated in prototypes achieving real-time image correction for multiple occupants. For , high-precision parallax barriers enable stereoscopic visualization in , aiding in the interpretation of complex anatomies. An autostereoscopic system using a slit-type parallax barrier and backlight unit has been applied to cardiac CT images, allowing surgeons to identify coronary structures (e.g., left anterior descending, left circumflex, ) more rapidly than with 2D displays, with below 10% and no reported visual fatigue. This facilitates precise stereoscopic planning by providing natural depth cues in operating rooms. Market adoption of parallax barrier technology in smartphones was valued at $1.2 billion in 2024 and projected to grow to $5.8 billion by 2033, driven by demand for glasses-free features in consumer devices. Compared to alternatives, parallax barriers offer simpler integration and lower manufacturing complexity, making them suitable for compact , but they reduce brightness by 20-50% due to light occlusion and limit viewing zones to fixed positions. lenses, by contrast, preserve higher through rather than blocking light, though they introduce potential moiré patterns and require more precise alignment.

Emerging Uses

Parallax barriers are also integrating with to advance layer-by-layer viewing in and display systems. Research demonstrates a unified framework where parallax barriers complement holographic elements to generate full-parallax images, allowing precise simulation of fields for holographic stereograms that aid in previewing prints. By replacing traditional barriers with pinhole arrays in integral imaging setups, these hybrid systems capture multi-angle details essential for holographic applications. In / headsets, hybrid parallax barriers enhance mixed-reality depth cues by combining autostereoscopic elements with eye-tracking. Transparent multi-view displays using adaptive barriers update images in to align with user , providing seamless binocular and monocular without glasses. This integration supports immersive overlays in headsets, reducing for more natural mixed-reality experiences. Biomedical imaging benefits from parallax barriers in multi-angle tissue visualization, particularly in systems for volumetric data. Parallax barrier technology divides display images into left and right views for stereoscopic rendering of medical scans, enabling clinicians to observe cellular structures from multiple perspectives without additional . Such setups facilitate real-time of tissue samples, improving diagnostic accuracy in applications like volumetric .

Performance Challenges

Crosstalk Definition

In parallax barrier systems, refers to the unintended leakage from the image intended for one eye into the view of the other eye, resulting in a ghosting artifact that degrades stereoscopic . This leakage occurs when rays from subpixels designated for the left or right eye view are not fully isolated by the barrier slits, allowing partial overlap in the viewing zones. Crosstalk is quantified through contrast ratio tests that measure luminance leakage under controlled conditions, such as displaying a full-white image on one channel and full-black on the other. A common metric is the crosstalk percentage, calculated as (luminance of the unintended eye view / luminance of the intended eye view) × 100%, often using optical instruments like spectroradiometers to capture precise values. Standards such as ITU-T P.914 emphasize consistent crosstalk assessment for 3D video quality, recommending measurements aligned with display-specific viewing conditions. Two primary types of crosstalk are distinguished in parallax barrier displays: static crosstalk, which arises from fixed viewer positioning and inherent barrier geometry leading to consistent leakage, and dynamic crosstalk, induced by motion in the content or viewer head movement, exacerbating temporal mismatches in ray separation. Quantification often involves setups to simulate eye isolation during readings, isolating leaked components for accurate profiling across viewing angles. Acceptable crosstalk levels for immersive 3D experiences in parallax barrier systems are typically below 2%, as higher values become perceptible and reduce depth fidelity in natural scenes. Early measurement approaches relied on of test patterns, but contemporary methods employ digital tools like spectrophotometers for objective, high-precision characterization, addressing limitations in traditional analog techniques.

Causes and Mitigation

Crosstalk in displays primarily arises from misalignment between the barrier and the underlying pixels, such as tilts exceeding 1° that lead to geometric distortions and unintended leakage between views. Variations in viewer position, particularly wide viewing angles or changes in distance and interpupillary spacing, exacerbate this by shifting the intended viewing zones and allowing overlap of rays from adjacent sub-pixels. Sub-pixel bleed, where excess from neighboring RGB sub-pixels spills over due to imperfect optical isolation, further contributes to image mixing, especially in high-resolution setups. Additionally, for barriers with small slit pitches, effects at the openings cause spreading, increasing by broadening the angular distribution of emitted rays. To mitigate these issues, slanted or tilted parallax barriers can average across sub-pixels by distributing light leakage more uniformly, particularly when combined with techniques like mapping to correct for misalignment-induced distortions. Software-based countermeasures, such as pre-distortion through pixelwise and projection, adjust the input images in real-time to compensate for viewer movement, effectively eliminating during high-speed head tracking up to 2 m/s. Hardware solutions include dual-layer parallax barriers, which stack two barrier layers to better separate viewing zones and block stray light, achieving uniform resolution across views while reducing crosstalk from sub-pixel overlap. Advanced mitigation incorporates AI-driven compensation, such as calibration convolutional neural networks (C-CNNs), which learn nonlinear decoding functions to suppress extrinsic crosstalk from fabrication errors in real-time tracking systems, improving 3D image fidelity in multiview setups. In integrated tracking and projection pipelines, these methods achieve near-zero crosstalk under dynamic viewing conditions. Recent prototypes demonstrate the effectiveness of these strategies; for instance, random parallax barriers in 2025 light field displays eliminate noticeable while avoiding moiré patterns, and with shortened backlight emissions reduces levels by up to 15% compared to conventional systems, with further gains from calibration enhancing overall suppression.

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