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Sci Rep. 2017; 7: 46511.
Published online 2017 April 13. doi:  10.1038/srep46511
PMCID: PMC5390278

Inkjet printing-based volumetric display projecting multiple full-colour 2D patterns


In this study, a method to construct a full-colour volumetric display is presented using a commercially available inkjet printer. Photoreactive luminescence materials are minutely and automatically printed as the volume elements, and volumetric displays are constructed with high resolution using easy-to-fabricate means that exploit inkjet printing technologies. The results experimentally demonstrate the first prototype of an inkjet printing-based volumetric display composed of multiple layers of transparent films that yield a full-colour three-dimensional (3D) image. Moreover, we propose a design algorithm with 3D structures that provide multiple different 2D full-colour patterns when viewed from different directions and experimentally demonstrate prototypes. It is considered that these types of 3D volumetric structures and their fabrication methods based on widely deployed existing printing technologies can be utilised as novel information display devices and systems, including digital signage, media art, entertainment and security.

Volumetric displays directly render a three-dimensional (3D) image onto the true volume physical space1,2. Each volume element (voxel) of a 3D object is physically present at the required location and thus a natural visual perception is afforded from the surrounding. A variety of volumetric displays are intensively studied to achieve next-generation human–computer interaction and other applications3,4,5,6,7,8,9,10,11,12. A potential use of volumetric displays includes 3D visualization without the need to wear devices such as special glasses, which is highly relevant in medical applications, architectural design, advertising and entertainment.

In previous studies, an algorithm was proposed for the design of 3D structures, which projects multiple 2D patterns in different directions13,14,15. As shown in Fig. 1a, a 3D glass structure designed by the algorithm provides multiple 2D images independently to each of the viewpoints. As opposed to conventional 3D structures demonstrated in previous studies16,17, the algorithm in the present study provides grayscale images and projection directions that can be configured more flexibly. In addition, a multi-colour volumetric display based on the 3D arrangement of photoreactive luminescence materials was developed18. A volumetric display that projected three multi-colour 2D patterns was demonstrated by arranging two types of quantum dots that emitted red and green lights. The optical excitation of the voxels in the volumetric display resolves the issue of occlusion as opposed to conventional methods that necessitate electrical wiring, which significantly degrades the quality of 3D images.

Figure 1
Concept of the study.

However, all the manufacturing processes related to the aforementioned optically excited volumetric display were performed manually, i.e., the voxels were manually cut into a cubic shape and manually assembled to construct the volume. Accordingly, the volumetric display device reported in a previous study18 comprised only 8 × 8 × 8 voxels each with 5 mm side-lengths. This leads to difficulties in increasing the display resolution and representing full-colour images.

In this study, a manufacturing method is proposed with a high resolution volumetric display based on inkjet printing technology, which enables the minute and automatic location of photoreactive luminescence materials on appropriate places. Figure 1b shows the concept of the proposed method. The proposed volumetric display is composed of several layers of transparent films, and 2D patterns of fluorescent ink are printed on each of the films. The printed fluorescent materials arranged in a 3D layout are excited by external light irradiation (e.g. ultraviolet light), each excited fluorescent material, on returning to the ground state, emits light, which together form a 3D image. In this method, a massive amount of voxels and a full-colour representation can be achieved at a low cost using the widely available inkjet printers by adjusting the ratio of three fluorescent inks emitting primary colours (red, green and blue).

Furthermore, an algorithm proposed in a previous study13 is extended to design a 3D structure that projected multiple full-colour 2D patterns, as shown in Fig. 1c. As described below, the study succeeded in experimentally demonstrating 3D structures projecting three and four full-colour patterns. Each of the patterns can only be reconstructed from a designated viewpoint according to the proposed volumetric display method based on inkjet printing.


Full-colour 3D image representation

First, a prototype of the inkjet printing-based volumetric display is presented to demonstrate its ability to represent an arbitrary full-colour 3D image. Figure 2a shows the overview of the prototype. Fluorescent inks (SO-KEN Inc., Trick Print Ink) are used as photoreactive luminescence materials that mainly comprise europium complex (red), β-quinophthalone (green) and coumarin dyes (blue). An inkjet printer (SO-KEN Inc., ‘TPW-105PB’) prints the inks on 0.1 mm thick polyester transparent films (Folex imaging Inc., ‘BG-32’) with a maximum resolution of 5,760 × 1,440 dpi. The rendering space of the 3D image corresponds to 35 mm × 35 mm × 12.5 mm. Twenty layers of the printed films are stacked at 0.5 mm intervals.

Figure 2
Prototype of the volumetric display based on inkjet printing.

In addition, 3D figures of flowers and butterflies comprising 51,767 full-colour points are used as a source for the 3D objects. Figure 2b shows twenty cross-sectional images of the 3D objects. Each layer includes 300 × 300 pixels and is printed on the films. In order to excite the printed fluorescent ink, the ultraviolet light peaked at 365 nm (AS ONE, LUV-4) is irradiated on the volumetric display in the perpendicular direction. Figure 2c shows the 3D objects rendered by a computer simulation viewed from different perspectives. Figure 2d presents images of an experimentally fabricated volumetric display obtained from different viewpoints. In particular, θ in Fig. 2c and d depicts a horizontal angle between the perpendicular to the films and the viewing direction. The highest quality of the 3D image is obtained when it is viewed in a direction perpendicular to the films (θ = 0°). Although the images obtained from the diagonal directions (θ = ±30°) are blurred, it is confirmed that the volumetric display appropriately represents motion parallax.

3D structure projecting multiple full-colour 2D patterns

Next, a 3D structure projecting three different full-colour patterns in different directions is designed, and hereafter the patterns are referred to as patterns A, B and C. The concept of the algorithm presented in a previous study13 is extended, and the extended algorithm is used to determine the voxel values of the full-colour 3D structure (please refer to the Method section for details). The original patterns comprised 512 × 512 pixels with three channels (red, green and blue), and each of the channels can represent 256 gradations. As shown in Fig. 1c, pattern B is set such that it is projected in the direction perpendicular to the films. The projection directions of the other two patterns (A and C) correspond to ±30° around the Y-axis. Figure 3a shows twenty cross-sectional images of the designed 3D structure when three full-colour images, as shown in Fig. 3b (right: A, middle: B and left: C), are used as the original patterns.

Figure 3
Prototypes of the volumetric display projecting three full-colour patterns.

Simulations are performed to confirm the successful projection of original 2D patterns from the designed 3D structure. It should be noted that the simulation did not involve the effects of the light absorption by the films or inks since the primary objective involved confirming the validity of the design method. Figure 3c shows the three different patterns projected from the designed volumetric display. Deteriorations caused by other patterns (cross talk) are shown. However, the projected patterns are recognised as the original patterns, as shown in Fig. 3b. It is confirmed that the proposed algorithm13 is extended to full-colour representations.

Twenty films with printed cross-sectional images are stacked to create a prototype of the volumetric display. The images in Fig. 3d correspond to the images of the volumetric display observed from different viewpoints. In order to decrease the effects due to photo absorption of the ultraviolet excitation light by the films (for details please refer to the experimental evaluation section), the volumetric display is irradiated by two ultraviolet lights placed on the top and the bottom of the display. The observed patterns are not as clear as the ones predicted in the simulations. Nevertheless, the three full-colour patterns are recognised from each viewpoint (see Supplementary Video S1).

The projection axes can actually be configured freely. As shown in Fig. 4a, a prototype of the volumetric display projecting four patterns is created to experimentally demonstrate such a characteristic. In the experiment, the Z-axis is rotated ±20° around both the X- and Y-axes to derive the projection axes. Figure 4b shows the simulation results of the projected patterns from the display. Degradation is observed in the contrast of the projected patterns when compared with that in Fig. 3c. However, four different patterns are recognised from each viewpoint. The images in Fig. 4c correspond to the images of the experimentally fabricated volumetric display observed from different viewpoints. Although the images are not clear when compared with that of the simulations, the four different patterns can be successfully observed.

Figure 4
Prototype of the volumetric display projecting four full-colour patterns.

Experimental evaluation

The quality of the 3D images of the proposed volumetric display partially depends on the number of the films since the transparency of the films used in practice is not perfect. This type of number-of-layer dependency of the image quality is evaluated by performing an experiment based on the setup, as schematically shown in Fig. 5a. A single layer on which a 2D pattern comprising red, green and blue circles is printed and is sandwiched by multiple layers of transparent films (namely, films without printed patterns). Specifically, NUV and NVIS denote the numbers of transparent films placed between the pattern-printed film and the ultraviolet light source and between the pattern-printed film and the camera, respectively. The increase in NUV and NVIS is unavoidable to realise a high resolution volumetric display in depth direction. However, the increase in NUV and NVIS further attenuates the ultraviolet light required to excite the florescent ink and the colour visible light emitted, respectively.

Figure 5
Evaluation of an effect based on a number of films.

Figure 5b shows the captured images when NVIS = 0 and NUV = 0, 5, …, 25. It should be noted that the camera was focused on the printed film. It is confirmed that the increase in NUV led to a significant decrease in the brightness and contrast of the image. This result is attributed to the transmittance of a film in the ultraviolet region (365 nm) that corresponds to 82%. When NUV = 20 and NUV = 25 the ultraviolet light for excitation is attenuated to 2% and less than 1%, respectively.

The images shown in Fig. 5c depict the captured images when NUV = 0 and NVis = 0, 5, …, 25. The decrease in the brightness and contrast of the image is lower than those of the results shown in Fig. 5b. This is because the transmittance of a film in the visible region is higher (about 90%) than that in the ultraviolet region. In contrast, it is confirmed that the increase inNVIS leads to the deterioration of the images with respect to sharpness. This result is attributed to the diffusion and the refraction of the emitted visible light at the film surfaces. The aforementioned findings indicate that the transparency of the mother materials for inkjet printing radically affects the quality of the volumetric display. This is an important result that can be explored in detail in future studies.


This section discusses the resolution of the proposed volumetric display. As described in the demonstration of a full-colour 3D image representation, the inkjet printer used in this study can print 2D patterns of fluorescent inks at an in-plane high resolution (a maximum of 5,760 × 1,440 dpi). However, the depth resolution (out-of-plane resolution) is only approximately 42 dpi, as determined by the film thickness (0.1 mm) and intervals (0.5 mm) between the films. Here, the stacking interval of 0.5 mm was empirically determined based on three factors, which are depth resolution, depth size and the number of films. The stacking interval is minimized in order to increase depth resolution. However, a trade-off exists between depth resolution and depth size since the number of the films in the current study is only twenty. For instance, in the case where the twenty films are stacked without interval to achieve higher depth resolution, the depth size of the resultant display is only 2.0 mm (20 × 0.1 mm), which insufficient to generate a volumetric image. Future work to improve display resolution by increasing the number of films is planned.

With respect to these films, increased transparency is indispensable to avoid deterioration of the image with the increase of the films (as quantitatively evaluated previously). For example, a heat-curable resin polydimethylsiloxane (PDMS) is used in various optical applications18,19,20 due to its superior transparency. The transmittance of the PDMS exceeds 90% when the optical path length corresponds to 10 mm; thus, the transmittance of a 0.1 mm thick, PDMS film could exceed 99%. At this time, to the best of our knowledge, thin PDMS films, onto which inkjet printers can print fluorescent inks, are not commercially available. We consider the development of such PDMS films as a topic for future research that will afford an interesting comparison with the current system. Furthermore, the combination of PDMS and fluorescent materials in 3D printing represents another potential approach21 and an interesting future research topic.

The 3D object data used in this study are sparsely distributed within the volume. In particular, greater than 98% of the total voxels have “zero” values (represented in perfect black in Fig. 2b and transparent (no-ink) in the experiments). This indicates that the florescent inks were not printed in a majority of the region that the voxels exist. Therefore, we assumed that the influence of the fluorescent ink absorption was not significant in the current system whereas the transmittance of the films was analysed. However, it is expected that increasing depth resolution and displaying high-density printed objects may potentially decrease transmission efficiencies and lead to image deterioration due to self-absorption by the inks. Our future work will need to consider technologies to overcome these effects, such as the development of a design method that can effectively correct transmission issues by modulating the 3D layout and the amount of ink while maintaining the quality of resultant images for human perception.

In terms of the safety of the proposed volumetric display, it is important to consider potential hazards associated with the use of ultraviolet light. In this study, we employed fluorescent inks excited by ultraviolet light since they are accessible and compatible with commercially-available inkjet printers. Specifically, the current system is physically grounded in the frequency down-conversion (from shorter wavelength to longer wavelength) of fluorescent inks. In this case, protection of the observers’ eyes from harmful ultraviolet wavelengths or stray radiation must be carefully considered. We used UV cut-off filters while observing the images throughout the experiments, and strongly recommend that adequate means of protection be implemented in the use of this technology. Conversely, frequency up-conversion (from longer wavelength to shorter wavelength) technologies have been studied in the field of nanophotonics22,23. Although these frequency up-conversion techniques still require substantial performance improvements (e.g. operating wavelengths, conversion efficiencies) in order to be feasibly applied to our proposed method, they suggest that the current system may potentially be operated using infrared light, which is not hazardous, instead of ultraviolet light.

Next, the projected full-colour patterns of the 3D structure designed by the extended algorithm are discussed. As shown in Figs 3 and and4,4, it is confirmed that the algorithm can be successfully adapted to the full-colour images. However, certain background noises (cross talks) were observed in the computer simulations. It is considered that such a background noise can be suppressed by introducing an iteration algorithm proposed in a previous study15 or by other optimisation methods. The iteration method demonstrated in the literature15 found that the iteration between 3 steps (recording, projecting and updating) may effectively reduce the cross talk between different images. This algorithm can also be applied when the projected images are in full-colour.

The projected patterns of the experimentally fabricated devices deteriorated when compared with the simulation results. It is presumed that the deterioration is caused by the degradation of 2D patterns printed on the film with respect to the contrast (brightness) as well as the blurring effects, as observed in Fig. 5c. The degradation of the contrast of the patterns is attributed to the absorption of the emitted light by the films. Thus, the contrast can be decreased by using highly transparent materials as films. The blurring is minimised by increasing the display resolution in the depth direction, and this will also be examined in detail in a future study.

In addition to the image quality improvement, the aim of the study involved realising a dynamic volumetric display system for practical applications of the proposed algorithm. In a previous study, an optically addressing method was proposed based on photochromic materials, i.e., photoreactive materials with unique characteristics of a reversible colour transformation24. The volumetric display is developed using this method, and the algorithm experimentally demonstrated in this study is applied on the display.

In summary, in this study, a manufacturing method of a high resolution volumetric display based on inkjet printing is proposed and experimentally demonstrated. The inkjet printer enables the minute and automatic location of photoreactive materials (that are used as the voxels of the 3D images) at appropriate places. Moreover, an algorithm to design 3D structures is developed to project multiple full-colour patterns, and volumetric displays based on the proposed method are experimentally demonstrated. Quantitative analysis of the observed images is performed to clarify important future research agenda.


Volume construction

The quantum yield of red, green and blue inks corresponds to 0.43, 0.85 and 0.89. Furthermore, 0.5 mm thick acrylic plates are used as spacers and placed between the twenty films.

A method to create the twenty cross-sectional images of a 3D object is described, as shown in Fig. 2b. The object data a created with computer graphics software and is composed of 3D position coordinates (x, y and z) and bright information (R, G, B). It is assumed that the twenty films are placed on z = Z1, … Z20, and a point of the 3D object is at (Ox, Oy, Oz). When Zn < Oz < Zn+1, the point is printed at (Ox, Oy) of the film placed at z = Zn. All the points are printed on the films in the same manner.


The algorithm to create the cross-sectional images of the 3D structure that exhibits multiple 2D patterns is described. It is based on a previous study13 and is incremented to correspond to the full-colour representation. The algorithm can design a 3D structure that exhibits an arbitrary number of patterns (there is a trade-off between the number of the patterns and their image quality). Nevertheless, for the purpose of simplicity, the case wherein the number of patterns corresponds to three is considered, as shown in Fig. 6a. Specifically, V(x, y, z) is a voxel value of the 3D structure that indicates the amount of inks at (x, y, z). In the study, the full-colour images are treated; thus, each of the voxel values comprise three colour components, namely red, green and blue that correspond to VR(x, y, z), VG(x, y, z) and VB(x, y, z), respectively.

Figure 6
Schematic of the algorithm.

The voxel value V(x, y, z) can be determined as follows:

  1. Each of the original patterns is set up on the direction in which it is required to be projected.
  2. Perpendicular lines PA, PB and PC are drawn from the voxel to the patterns A, B and C, respectively. These lines are referred to as projection axes of the patterns.
  3. The voxel value V(x, y, z) is calculated as shown in Eq. (1) wherein a(ua, va), b(ub, vb) and c(uc, vc) correspond to the pixel values of the original patterns A, B and C at the intersections with each projection axis. Each pixel consists of red, green and blue components as follows:
An external file that holds a picture, illustration, etc.
Object name is srep46511-m1.jpg

Next, the projected patterns of the 3D structure comprising the voxels determined by Eq. (1) are considered. It is assumed that the pixel values of the projected patterns are given by summations of the voxel values along their projection axes, as shown in Fig. 6b. For example, a′(ua, va) corresponds to the pixel value of the projected pattern A and is given by Eq. (2) as follows:

An external file that holds a picture, illustration, etc.
Object name is srep46511-m2.jpg

In addition, a(ua, va) is constant along the projection axes PA, and thus a′(ua, va) can be represented as Eq. (3) as follows:

An external file that holds a picture, illustration, etc.
Object name is srep46511-m3.jpg

As a result, the projected pattern is given by multiplying the original pattern and a background noise, which corresponds to interference from the other two patterns. The component of the original pattern in Eq. (3) tends to be more dominant than that of the background noise when 2D images are generally used as the original patterns. Therefore, the projected patterns are recognised as the original patterns used to determine the voxel values. The same trend is observed for the pixels of patterns B and C; therefore, three patterns are recognised from the 3D structure.

Additional Information

How to cite this article: Hirayama, R. et al. Inkjet printing-based volumetric display projecting multiple full-colour 2D patterns. Sci. Rep. 7, 46511; doi: 10.1038/srep46511 (2017).

Publisher's note: Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary Material

Supplementary Information:
Supplementary Video:


This study was partially supported by the Japan Society for the Promotion of Science Grant-in-Aid No. 16J30007 and No. 25240015 and the Core-to-Core Program, A. Advanced Research Networks.


The authors declare no competing financial interests.

Author Contributions R.H., Tomotaka S., M.N. and T.I. directed the project. Tomoyoshi S. suggested the basic concept of this study. H.N., A.S. and T.I. suggested the algorithm demonstrated in this study. R.H., Tomotaka S. and T.I. designed and performed the experiments. R.H. Tomotaka S., N.M. and T.K. analysed the data. All authors contributed the discussions and reviewed the manuscript.


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