1 3 [1] D [2]2D D [3] 3 6 ±10 3 Perspecta 3D[4] DepthCube[5][6] [7][8] 3D 6 [9] 1000 [10] Host Computer (HC)
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1 A Volumetric Display using VFD, and A Display Data Generator O Yamamoto Dept. of Electronic Engineering, Tokyo Denki University ou d.dendai.ac.jp 3 VFD 3D Abstract Volumetric displays, which directly draw 3D images in the real 3D space, are expected to be used not only in science but also in art. However, most of these displays need complex and expensive optical systems, so they are rarely used in art. In this paper, we propose and describe a volumetric display that has no such optical systems and can be easily constructed using parts on the market. In the display, sectioned images of 3D objects are displayed in sequence on a vacuum fluorescent display (VFD), which moves in a reciprocating motion, and the 3D images of the objects appear due to afterimage effect. Although the displayed images are small and monochromatic, clear 3D still and animation images can be displayed by the display. We also propose and describe a data generator for the display. The generator offers a frame, which specifies a display area three-dimensionally. Using the frame, the display data for the display can be easily generated on 3D software on the market. 15
2 1 3 [1] D [2]2D D [3] 3 6 ±10 3 Perspecta 3D[4] DepthCube[5][6] [7][8] 3D 6 [9] 1000 [10] Host Computer (HC) Display Board (DB) VFD Slide (S1) Reciprocating motion direction 1: 10 1 Light Field Display[11] VFD [12] VFD 2 [3] [11] 3D 105 voxel 1 VFD S1 12[Hz] VFD [dot] 128 4[cm] 2[cm] 4[cm] [dot] 24[Hz] HC USB DB DB VFD 1 Light Field Display 16
3 2 [9] [3] ±10 1 DepthCube DepthCube 20 1 DepthCube DepthCube ±45 2 DepthCube Light Field Display [4] [11] DepthCube GLInterceptor[13] Plane Mode OpenGL 3D [14][15] GLInterceptor Z GLInterceptor Block Mode API SDK Block Mode API Block Mode API 3D 3D 2 3 3D 4 3D 3D VFD khz VFD LED EL VFD VFD MW12864J 2 VFD [bit] 1 0 [16] 32 32[bit] 8 8[kHz] 1: Light Field Display resolution #of scan color (per slice slices rate depth or view) or view (non dithered) Perspecta rpm 8 DepthCube Hz L.F.Disp rpm our display Hz 1 2: Light Field Display display viewing animation area angle(h,v) display rate Perspecta 10 -diam. 360,270 10Hz sphere DepthCube ,170 20Hz 4.0 L.F.Disp. 13cm-diam. pillar 360, 30-40Hz our display 4cm 2cm 170,170 24Hz 4cm 17
4 2: VFD 3: 4[cm] 2[cm] 2.2 [4],[11] VFD 1200[rpm] VFD [4],[11] 3D Slide (S2) Weight (W) Linear Guide (L2) Crank (C2) Pulley (P) Belt (B) r Motor (M) Crank (C1) 4: l Reciprocating motion direction Linear Slide Guide (S1) (L1) VFD 3 4 M C1 L1 S1 12[Hz] 12[rps] 720[rpm] C1 r = 3[cm] l = 20[cm] S1 2r = 6cm VFD S1 P C2 C1 L2 S2 W M B P C2 S2 S2 S1 W VFD 60[g] VFD 4cm 24[Hz] 20W DC 18[mm] 10[mm] [rps] 4 4 M z M ω[rad/s] t[s] S1 C1 z(t) z(t) = rcosωt + l 2 r 2 sin 2 ωt (1) ωt[rad] z r = 3[cm], l = 20[cm], ω = 12[rps] = 24π[rad/s] 1 z(t) 5 VFD S1 z(t) VFD 4[cm] 2[cm] VFD z 2r = 6[cm] 4[cm] 18[cm] z(t) 22[cm] ABCD EF GH 6 18
5 z(t)[cm] t[s] z(t) [cm] t t1 (10.46) t [ms] (29.71) 5: 7: z(t) d(t) [mm] t t1 (10.46) t [ms] (29.71) 6: 8: d(t) z VFD VFD ABCD t 0 EF GH t 1 z(t 0 ) = 22[cm] z(t 1 ) = 18[cm] t 0 < t 1 z VFD VFD z VFD z(t) VFD 6 ADHE AH t z tz t 0 t t 1 (t, z(t)) z cm (t 0, 22) (t 1, 18) A H 1 t 0 = 10.46[ms], t 1 = 29.71[ms] (t, z(t)) 7 ADHE 7 [18, 22] [t 0, t 1 ] AH 7 (t 0, 22) (t 1, 18) z(t) d(t) d(t) d(t) l d(t) USB UIF DM DC USB DM d(t) = z(t 1) z(t 0 ) t 1 t 0 (t t 0 ) + z(t 0 ) z(t) (2) t 0 t t 1 d(t) 8 d(t) t = 24.54[msec] 1.11[mm] 1l z(t) 9: 19
6 USB Cable USB Interface (UIF) Address Data 16MB Data Memory (DM) Address Data Display Controller (DC) 10: Data Clock Latch VFD 2 16 ascii DM VFD VFD 8 10[MHz] DM 16[Mbyte] [bit] [Hz] 24[Hz] VFD 6cm 12[Hz] 4[cm] 128 t 1 t 0 = 19.2[ms] 1 150[µs] VFD [bit]/150[µs] = 54.6[Mbit/s] 3 3D 2 : D 2 3 VFD 3D 3D 3D 1. 3D 4[cm] 2[cm] 4[cm] : : = 2:1:2 ViewFrame 3D 2 3D Shade9[17] 11 a ABCD D 3 11 b 3. Wavefront OBJ [18] OBJ OBJ 3D OBJ OBJ 4. OBJ 3 11 ABCDEFG F FG X FE Y FB Z
7 boolean (1.5, 3.2, 4.8) boolean (2, 3, 5) boolean voxel OBJ boolean voxel boolean boolean EFGH Z = 0 ABCD Z = a b 5. 3D 3D 3 OBJ OBJ 3D OBJ (4) D OBJ 13 a c 11: 1 12: 2 a 30 b 80 c 80 6 ABCD 170 VFD 3500[cd/m 2 ][16] OS Microsoft Windows2000 Intel Pentium4 1.8[GHz] 256[MByte] 3 6 AH DE 15 a ADHE b a 2.3 b 21
8 15: 13: 3D 16: 14: Shade a b 3D /24[sec] VFD [msec] 46% % 24[Hz] VFD Perspecta3D DepthCube [USD] 22
9 1/20 3: manufacturer, unit price quantity parts No. [JPY] VFD Noritake Itron, MW12864J servo NIDEC SERVO, motor FHK6P20S-D3 linear THK, guide SRS9WM-200LM display board (approx.) aluminium parts (approx.) VFD VFD VFD 3D [1] Blundell, B. and Schwarz, A.: Volumetric Three-Dimensional Display Systems, Wiley- IEEE Press, New York, USA (2000). [2] Traub, A. C.: Stereoscopic Display Using Rapid Varifocal Mirror Oscillations, Applied Optics, Vol. 6, pp (1967). [3] Shiro Suyama, M. D. and Takada, H.: Three- Dimensional Display System with Dual- Frequency Liquid-Crystal Varifocal Lens, Jpn. J. Appl. Phys., Vol. 39, pp (2000). [4] Favalora, G., Napoli, J., Hall, D., Dorval, R., Giovinco, M., Richmond, M. and Chun, W.: 100 Million-voxel volumetric display, Proc. SPIE, Vol. 4712, pp (2002). [5] Sullivan, A.: DepthCube solid state 3D volumetric display, Proc. SPIE, Vol. 5291, pp (2004). [6] Sullivan, A.: A Solid-state Multi-planar Volumetric Display, SID Symposium Digest of Technical Papers, Vol. 34, pp (2003). [7] Downing, E., Hesselink, L., Ralston, J. and Macfarlane, R.: A Three-Color, Solid- State, Three-Dimensional Display, SCIENCE, Vol. 273, pp (1996). [8] 3D Technology Lab. [9] TODAY Vol. 7, No. 11, p. 18 (2007). [10] SeeRealTechnologies. [11] Jones, A., McDowall, I., Yamada, H., Bolas, M. and Debevec, P.: An interactive 360 light field display, SIGGRAPH 07: ACM SIGGRAPH 2007 emerging technologies, p. 13 (2007). [12] 7 NICO- GRAPH & (2008). [13] GLIntercept. [14] 3D Vol. 10, No. 3, pp (2005). [15] Favalora, G. E.: Volumetric 3D displays and application infrastructure, Computer, Vol. 38, No. 8, p. 18 (2007). [16] Noritake itron CL APF130R1.4 (1998). 23
10 [17] co.jp/. [18] Bourke, P.: Object Files (.Obj). wasp.uwa.edu.au/ pbourke/dataformats/obj/
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