先端技術とメディア表現2018 #1

筑波大学情報学群情報メディア創成学類の講義「先端技術とメディア表現」の講義資料#1です．

1. ART DesignEngineering Science Education? Learning?
2. Art Science Design Engineering
3. 21
4. 25
5. Ivan Sutherland demonstrating the Sketchpad system on the console of the TX-2 at MIT(1963)
6. 50
7. 1(b) ) R ),,( zyx ),( φθ ),( ts ),( vu (a) (b) ),( RRR φθ=D v u ),( RRR vu=C ),,( zyx ),( RRR φθ=D v u ),( RRR vu=C ),( LLL φθ=D ),( LLL vu=C v u ),,( zyx (c) (d) M. Hullin et al. / State of the Art in Computational Fabrication and Display of Material Appearance Figure 3: A taxonomy of visual appearance representations, extended from [Fuchs 2008], [Lensch 2003], and [Rusinkiewicz and Marschner 2000]: methods for fabrication of material appearance and its interactive display are tightly related to methods for describing material appearance in computer graphics contexts, and follow the same patterns. Simplifying the material types to reduce the parameter space (blue) maintains full interactivity with viewer and light, while restricting the interactions between viewer, material, and illumination maintains a full material gamut (yellow). For reference, illumination-invariant representations are in white. dimensions. Color adds an additional dimension if treated as a separable effect in individual color channels, as is the case with current fabrication techniques. Adding control over light field [Levoy and Hanrahan 1996] to a 4D outgoing light field). BSSRDF and reflectance field differ only in that the BSSRDF is defined relative to a scene surface, while the

Transcript

1. ઌ ୺ ٕ ज़ ͱ ϝ σ Ο Ξ ද ݱ   '5." '5."
2. ϝ σ Ο Ξ ද ݱ Λ ͠ ଓ ͚ Δ ͨ Ί ʹ ɽ ͜ ͷ त ۀ ͸ Կ ͷ ͨ Ί ͷ त ۀ ͔ ʁ ݚ ڀ ͷ ج ૅ Λ ֶ Ϳ '5."
3. ART Design Engineering Science Education? Learning? '5."
4. Art Science Design Engineering '5."
6. όΫϚϯɻ
   େ৔͙ͭΈ
   খാ݈ '5."
7. ͏͵΅Ε
   ౒ྗ
   ӡ ອըՈ ࿈ࡌͷน ମྗ
   ਫ਼ਆྗ
   ࠜੑ ΞΠσΟΞظ ࿈ࡌ࣋ଓظ ௕͍εύϯ ͏͵΅Ε
   ౒ྗ
   ӡ ϝσΟΞ
   ΫϦΤʔλ
   ΍ݚڀऀ ମྗ
   ਫ਼ਆྗ
   ࠜੑ ΞΠσΟΞظ ੍࡞ࣥච ୹͍εύϯ
   ͷ൓෮ ͏͵΅Ε
   ౒ྗ
   ӡ ମྗ
   ਫ਼ਆྗ
   ࠜੑ ΞΠσΟΞظ ੍࡞ࣥච '5."
8. ͪ Ό Μ ͱ ͠ ͨ ஌ త ମ ྗ Λ ิ ॆ ͠ ଓ ͚ Δ
   ϥ Π ϑ α Π Ϋ ϧ Λ ࡞ Δ ͜ ͱ ͕ ॏ ཁ ɽ ࠽ ೳ ʹ ৯ ͍ ͭ Ϳ ͞ Ε ͣ ʹ ੜ ͖ ͯ ͍ ͘ ʹ ͸ ɼ '5."
9. αʔϕΠ ࣗ෼ͷίϯςΫετ੔ཧ Ξ΢τϓοτ Ξ΢τϓοτ Ξ΢τϓοτ Ξ΢τϓοτ ࣾձ͸ԿΛ๬Ή͔ʁ ࣗ෼ͱ͸ͳΜͳͷ͔ αΠΫϧΛৗʹҙࣝ͢Δɽ '5."
10. ઌ୺ٕज़ͱϝσΟΞදݱˌ̍ ͭ·Βͳ͍࣮૷΍ΞΠσΞͷ΄ͱΜͲ͸
    ઌߦݚڀ΍ࣄྫ΁ͷແ஌ʹΑͬͯੜ·Ε͍ͯΔɽ ͦͯ͠Α͘ࣄྫΛ஌͍ͬͯΔਓͰ΋ɼ
    ίϯςΫετΛཧղ͠ͳ͍ͱ࣍ʹͲ͏͍͏େ͖ͳ
    ྲྀΕ͕དྷΔͷ͔ΛಡΉͷ͸೉͍͠ɽ ࣮૷ίετʺΫΦϦςΟ '5."
11. ઌ ୺ ٕ ज़ ͱ ϝ σ Ο Ξ ද ݱ Ұ ࣍ ι ʔ ε ͕ ॏ ཁ
    ʢ ࿦ จ ʣ ί ϯ ς Ϋ ε τ
    ʢ લ ൒ ߨ ٛ ʣ '5."
12. ઌ୺ٕज़ͱϝσΟΞදݱˌ̍ τϨϯυΛಡΉ͜ͱ͸ॏཁɽษڧ͢Δ͜ͱ΋ॏཁɽ ྲྀߦΓͷίϯςΫετ͔ΒͲΜ͚ͩʮ཭୤ʯ͠ɼ
    ͞ΒʹͲΜ͚ͩઌਓͨͪͱҧ͏͜ͱΛͰ͖Δ͔ɽ
    ࠓ͔ͩΒɼ͋ͳ͔ͨͩΒͰ͖Δ͜ͱ͸Կʁ ͔͠͠Ұ൪ॏཁͳͷ͸τϨϯυΛ࡞ΔଆʹͳΔ͜ͱ '5."
13. ᶅَίʔε ઌ୺ٕज़ͱϝσΟΞදݱˌ̍ ᶃ෹ίʔε ᶄਓؒίʔε ԿਓͰ΋͍͍ͷͰάϧʔϓΛ૊ΜͰि̎ຊ࿦จΛಡΜͰ͍ͩ͘͞ɽ ͨͩ୯Ґ͕ཉ͍͠ਓ޲͚ ि̎ຊʢલ൒ʣͱ࣮૷ʢ՝֎ʣ ͜ͷ෼໺ʹৄ͘͠ͳΓ͍ͨਓ޲͚ ̍ਓͰि̍ຊ࿦จΛಡΜͰ͍ͩ͘͞ɽͦΕͱϦϑΝϨϯεཝʹ͋Δؔ ࿈ݚڀ̑ຊͷΞϒετΠϯτϩˍ݁࿦͚ͩಡΜͰ͖͍ͯͩ͘͞ɽ
    '5."
14. ͏͵΅Ε
    ౒ྗ
    ӡ ମྗ
    ਫ਼ਆྗ
    ࠜੑ ΞΠσΟΞظ ੍࡞ࣥච ͏͵΅Ε
    ౒ྗ
    ӡ ମྗ
    ਫ਼ਆྗ
    ࠜੑ ΞΠσΟΞظ ੍࡞ࣥච '5." ि̎ຊαʔϕΠ ੍࡞ ̏ϲ݄ʔϲ݄ ि̎ຊαʔϕΠ ੍࡞ ̏ϲ݄ʔϲ݄ َίʔε ෹ɾਓؒίʔε ೔ৗతʹ΍Δ஌త࡞ۀͷ࿅श ৬ۀΫϦΤʔλ΍ݚڀऀ͕΍Δ๩͍࣌͠ͷੜ׆ '5."
16. '5."
17. α ʔ ϕ Π ͷ ࢓ ํ Λ ֶ Ϳ ɽ ஌ త ೳ ྗ Λ ٵ ऩ ͠ ଓ ͚ Δ ͨ Ί ʹ '5."
18. ͜ͷतۀͰѻ͏࿦จࢽ ઌ୺ٕज़ͱϝσΟΞදݱˌ̍ "$.
    4*((3"1) ʢγʔάϥϑͱΑΉʣ ΠϯλϥΫςΟϒٕज़ͱ
    ίϯϐϡʔλάϥϑΟΫεͰ͸
    ࠷΋ݹ͍ࠃࡍձٞͰ࿦จࢽ 5SBOTBDUJPOT
    PO
    (SBQIJDT '5."
19. ͜ͷतۀͰѻ͏ࠃࡍձٞ ઌ୺ٕज़ͱϝσΟΞදݱˌ̍ "$.
    4*($)*
    
    6*45 ʢΧΠˍ΢ΠετͱΑΉʣ ΠϯλϥΫςΟϒٕज़ͱ
    ώϡʔϚϯϑΝΫλʔͰ͸ɼ
    τοϓΧϯϑΝϨϯε '5."
20. 
    མ߹ཅҰ
    
    ෹ίʔε ߴ଎Χϝϥͷө૾͔Βͦͷ৔ॴͰ͔͔͍ͬͯͨԻΛ ෮ݩ͢ΔɽҰ؟ϨϑΛ࢖ͬͨྫ΋ݕূͨ͠ɽ ઌߦݚڀͱൺ΂ͯͲ͕͍͜͢͝ʁ Ϩʔβʔख๏ʢϨʔβʔυοϓϥʔʣ͸೥୅͔ Β͕͋ͬͨɼຊख๏Ͱ͸ϨʔβʔΛ౰ͯͳͯ͘΋ϋ Πεϐʔυಈը͔ΒԻΛ෮ݩͰ͖Δɽ ಈը͔ΒඍࡉͳมԽΛݕग़͢Δख๏
    <8V
    FU
    BM
    >΍ଞΛԻ੠ʹԠ༻ ٕज़΍ख๏ͷΩϞ͸Ͳ͜ʁɹ ͲΜͳ΋ͷʁ Ͳ͏΍ͬͯ༗ޮͩͱݕূͨ͠ʁ Ϩʔβʔυοϓϥʔͱൺ΂ͯ΋ɼ༗༻ͳσʔλ͕ग़ ͨɽ౷ܭతޡࠩΛൺֱͨ͠ɽ
    εϐʔνΛ෮ݩͯ͠Έͯप೾਺෼෍Λൺ΂ͯΈͨɽ
    Իڹղੳͯ͠ΈͯৼಈൣғΛௐ΂ͨɽ ܰͯ͘ߗ͍΋ͷ͸ਫ਼౓Α͘෮ݩͰ͖Δɽ
    ޫΛ౰ͯͳ͍ͰΑ͍෼ϨʔβʔΑΓศར͔΋͠Εͳ͍ɽ ٞ࿦͸͋Δʁ 8V
    FU
    BM
    
    ͔ͳ ࣍ʹಡΉ΂͖࿦จ͸ʁ '5." 4*((3"1)
    
21. 21 ·ͣ໘നͦ͏ͳͷΛΈ͚ͭΔ ઌ୺ٕज़ͱϝσΟΞදݱˌ̍ ձ໊ٞʴݕࡧϫʔυ '5."
22. ͋ͬͨʂʂʂ ઌ୺ٕज़ͱϝσΟΞදݱˌ̍ '5."
23. େ఍ಈը΋͋ΔͷͰɼ໘നͦ͏͔඼ఆΊ
25. 25 Ұൠతͳ࿦จͷߏ੒ ઌ୺ٕज़ͱϝσΟΞදݱˌ̍ ؔ࿈ݚڀ ΠϯτϩμΫγϣϯ ΞϒετϥΫτ ࣮ݧ݁Ռ ݁࿦ ٞ࿦ ϚςϦΞϧˍϝιου ࢀরจݙ ओுͷূ໌ ԿΛ͍͔ͨ͠ ྑ͞ѱ͞ ԿΛ͔ͨ͠ʢৄࡉʣ ԿΛ͔ͨ͠ ଞͷݚڀ ଞͱͲ͏ҧ͏͔ '5."
26. ͓͢͢Ί͸Ξϒετˠ݁࿦ˠ࣮ݧˠؔ࿈ݚڀ ઌ୺ٕज़ͱϝσΟΞදݱˌ̍ ˞ॱ൪௨ΓʹಡΉͷʹ׳Εͨ޲͚ͷૣ͍ಡΈํ ө૾͔Β
    ԻΛ࠶ੜ͍ͨ͠ ߴ଎ΧϝϥͰऔΕͨ
    ߗ͍ܰ͘΋ͷ͕͍͍
    ϊΠζআڈ΋΍ͬͨ LI[
     
    NͷҐஔ͔Β Ϩʔβʔ͸ੲ͔Β͋Δ
    ը૾ॲཧ͕ΩϞ '5."
27. ࣌ؒΛܾΊͯҰؾʹಡΉʢྫ̍࣌ؒʣ ઌ୺ٕज़ͱϝσΟΞදݱˌ̍ '5."
28. ઌ୺ٕज़ͱϝσΟΞදݱˌ̍ '5." ࿦จͷݚڀͱݞΛฒ΂Δʹ͸ʁ ࢼ͠ʹ࣮૷ͯ͠ΈΔɽ
    Θ͔Βͳ͍৔ॴ͸ଞͷ࿦จΛ
    Έͳ͕Βௐ΂Δɽ
    ͨͱ͑͹͜Εͩͱɼ
29. ಡΈऴΘͬͨΒʁɹͲΜͳ࿦จ͔ͩͬͨ·ͱΊΔ ઌ୺ٕज़ͱϝσΟΞදݱˌ̍ '5."
30. ઌ୺ٕज़ͱϝσΟΞදݱˌ̍ '5." ࣍ʹಡΉ࿦จΛܾΊΔɽ "T
    PVS
    BQQSPBDI
    SFMJFT
    PO
    UIF
    BCJMJUZ
    UP
    FYUSBDU
    FYUSFNFMZ
    TVCUMF
    NPUJPOT
    GSPN
    WJEFP
    JU
    JT
    BMTP
    SFMBUFE
    UP
    SFDFOU
    XPSL
    PO
    NBHOJGZJOH
    BOE
    WJTVBMJ[JOH
    TVDI
    NPUJPOT
    <8V
    FU
    BM
    
    8BEIXB
    FU
    BM
    
    8BEIXB
    FU
    BM
    
    3VCJOTUFJO
    >
    
31. ઌ୺ٕज़ͱϝσΟΞදݱˌ̍ '5." ୳ͯ͠ΈΔ
33. ͜ͷΑ͏ʹͯؔ͠࿈ݚڀΛ୳͢ ઌ୺ٕज़ͱϝσΟΞදݱˌ̍ '5." ̍ຊͷ࿦จΛ࣌ؒΛܾΊͯಡ΋͏ɽӳޠʹͭ·ͬ ͯ΋ྑ͍ͷͰɼ࿦ཧߏ଄ͷ೺Ѳʹ౒ΊΔɽ ʮ͜ͷ࿦จ͸ԿΛ΍ͬͨͷ͔ɼԿΛূ໌ͨ͠ͷ͔ʁ ԿΛ࢖ͬͯɼͦΕ͸ࠓ·ͰͱͦΕ͸Ͳ͏ҟͳͬͯ ͍Δͷ͔ʁɹ࣍͸ԿΛΑΊ͹͍͍ΜͩΖ͏͔ʁʯ ಡΜͩ࿦จ͸ϝϞͱҰॹʹอଘ͓ͯ͘͠ͱࡒ࢈
34. 
    མ߹ཅҰ
    
    ෹ίʔε ߴ଎Χϝϥͷө૾͔Βͦͷ৔ॴͰ͔͔͍ͬͯͨԻΛ ෮ݩ͢ΔɽҰ؟ϨϑΛ࢖ͬͨྫ΋ݕূͨ͠ɽ ઌߦݚڀͱൺ΂ͯͲ͕͍͜͢͝ʁ Ϩʔβʔख๏ʢϨʔβʔυοϓϥʔʣ͸೥୅͔ Β͕͋ͬͨɼຊख๏Ͱ͸ϨʔβʔΛ౰ͯͳͯ͘΋ϋ Πεϐʔυಈը͔ΒԻΛ෮ݩͰ͖Δɽ ಈը͔ΒඍࡉͳมԽΛݕग़͢Δख๏
    <8V
    FU
    BM
    >΍ଞΛԻ੠ʹԠ༻ ٕज़΍ख๏ͷΩϞ͸Ͳ͜ʁɹ ͲΜͳ΋ͷʁ Ͳ͏΍ͬͯ༗ޮͩͱݕূͨ͠ʁ Ϩʔβʔυοϓϥʔͱൺ΂ͯ΋ɼ༗༻ͳσʔλ͕ग़ ͨɽ౷ܭతޡࠩΛൺֱͨ͠ɽ
    εϐʔνΛ෮ݩͯ͠Έͯप೾਺෼෍Λൺ΂ͯΈͨɽ
    Իڹղੳͯ͠ΈͯৼಈൣғΛௐ΂ͨɽ ܰͯ͘ߗ͍΋ͷ͸ਫ਼౓Α͘෮ݩͰ͖Δɽ
    ޫΛ౰ͯͳ͍ͰΑ͍෼ϨʔβʔΑΓศར͔΋͠Εͳ͍ɽ ٞ࿦͸͋Δʁ 8V
    FU
    BM
    
    ͔ͳ ࣍ʹಡΉ΂͖࿦จ͸ʁ
35. तۀ Ϩϙʔτ ઌੜͷ෦԰Ͱං΍͠ʹͳͬͯ͠·͏Ϩϙʔτ͸ϚδͰແବ
38. ઌ ୺ ٕ ज़ ͱ ϝ σ Ο Ξ ද ݱ '5." Ұ ࣍ ι ʔ ε ͕ ॏ ཁ
    ʢ ࿦ จ ʣ ί ϯ ς Ϋ ε τ
    ʢ લ ൒ ߨ ٛ ʣ
39. ͜ ͷ त ۀ Ͱ ѻ ͬ ͨ ί ϯ ς Ϋ ε τ ʢ ઙ ͘ ޿ ͘ ʣ ݱ ୅ Ξ ʔ τ ˍ ϝ σ Ο Ξ Ξ ʔ τ ί ϯ ϐ ϡ ʔ λ ϝ σ Ο Ξ ઌ ୺ ϝ σ Ο Ξ ͷ ݚ ڀ ػ ؔ ί ϯ ϐ ϡ ʔ λ ά ϥ ϑ Ο Ϋ ε '5."
40. '5." ϝ σ Ο Ξ ࢙ ઌ ୺ ٕ ज़ ͱ ϝ σ Ο Ξ ͷ ί ϯ ς Ϋ ε τ
41. ϝ σ Ο Ξ ૷ ஔ ͷ ଟ ༷ Խ '5."
42. Ωωτείʔϓ ΩωϚτάϥϑ '5."
44. '5."
45. ί ϯ ϐ ϡ ʔ λ ͕ ϝ σ Ο Ξ ʹ ͳ Δ '5." ө ૾ ͕ ࢈ ۀ Խ ͠ ͯ ͍ ͘ ཪ Ͱ ൃ ల ͠ ͯ ͍ ͨ ͜ ͱ ɽ
46. '5." ೥ʮܧిثٴͼ։ดճ࿏ͷه߸తղੳʯ
47. '5." Տݪ͘ΜͷεϥΠυ
48. ೥ʮ5IFPSZ
    PG
    $PNNVOJDBUJPOʯ '5."
49. Ivan Sutherland demonstrating the Sketchpad system on the console of the TX-2 at MIT(1963) '5."
50. 50 *WBO
    4VUIFSMBOE
    ʠ5IF
    6MUJNBUF
    %JTQMBZʡ
    
51. ʠ/-4ʡ P/
    -JOF
    4ZTUFN
    )ZQFSUFYU .PVTF
    
    ,FZCPBSE (6* /FUXPSL
    $PMMBCPSBUJPO %&OHFMCFSU
    
52. *WBO
    4VUIFSMBOE
    Ϣλେֶ΁ '5."
54. 
    "MBO
    ,BZ
    "
    QFSTPOBM
    DPNQVUFS
    GPS
    DIJMESFO
    BMM
    BHFT '5."
55. ύ ʔ ι φ ϧ ί ϯ ϐ ϡ ʔ λ ͷ ࢈ ۀ Խ 1 F S T P O B M
    $ P N Q V U F S '5."
56. 
    +PIO
    8BSOPDL
    GPVOEFE
    "EPCF
    4ZTUFNT BOE
    
    )F
    EFTJHOFE
    1PTU
    4DSJQU '5."
57. 
    +BNFT
    $MBSL
    GPVOEFE
    4JMMJDPO
    
    (SBQIJDT '5."
58. 
    .BD
    
    
    /F95 '5."
59. 
    &E
    $BUNVMM
    GPVOEFE
    1JYBS $BUNVMM$MBSLۂ໘ͷਓ '5."
60.  UIF
    $PNQVUFS
    
    GPS
    $ 8FJTFS .
61. 
    5IF
    XPSME
    UISPVHI
    $PNQVUFS
    
    +VO
    3FLJNPUP
62. ݱ ୅ Ξ ʔ τ ͱ ϝ σ Ο Ξ Ξ ʔ τ '5."
63. '5."
64. '5." Ϛϧηϧɾσϡγϟϯʮઘʯʮࣗసंͷंྠʯ
65. '5." δϣϯɾέʔδʮ෼ඵʯ
66. '5." ܳ ज़ ͱ ͸ Կ ͔ ʁ Կ ͕ ܳ ज़ ͨ Δ ͔ ʁ
67. ଜ্ོɹʮ4VQFSGMBUʯɾ೔ຊ෩ೋ࣍ݩύʔεϖΫςΟϒ
68. φϜδϡϯύΠΫ '5."
69. ʮ ܳ ज़ ͸ Մ ೳ ͔ ʁ ʯ ݹ ڮ ఌ ೋ ʢ μ Ϝ λ Π ϓ ʣ '5."
70. '5."
71.  ిࢠٕज़ΛϝσΟΞ ഔମ ͱͨ͠දݱͰ͋Δ
     ϝσΟΞίϯγϟεͰ͋Δ ϝσΟΞʹରͯ͠ҙࣝతͰ͋Δ 
     ৽͍͠ϝσΟΞΛ࡞Δ͜ͱͰ͋Δ ౻഼ਖ਼थ '5."
72. Ϗ σ Φ ͷ ର ࿩ ੑ Λ ௒ ͑ ͯ ɼ
    ڏ ߏ ͷ ؔ ܎ ੑ Λ ࡞ Γ ग़ ͢ ɽ Π ϯ λ ϥ Ϋ ς Ο ϒ Ξ ʔ τ '5."
73. '5."
74. '5."
75. '5."
76. ؠҪढ़༤ʮө૾૷ஔͱͯ͠ͷϐΞϊʯʮ࣌ؒ૚**ʯ '5."
77. '5."
78. '5."
79. '5."
81. ϝ σ Ο Ξ Ξ ʔ τ ͸ ༹ ͚ ͨ ʁ ീ ୩ ࿨ ඙ '5."
83. ޿ ࠂ ද ݱ ͷ Ұ ෦
84. ϝ σ Ο Ξ Ξ ʔ τ ͸ յ Ε Δ ɻ '5."
85. " O U I P O Z
    % V O O F
88. ܳ ज़ ද ݱ ͷ ม Խ ɽ
    ࡞ ඼ Λ Ͳ ͏ ൢ ച ͢ Δ ͔ ɽ
    Կ ͕ ܳ ज़ Ͱ Կ Λ ࣾ ձ ʹ ૊ Έ ࠐ Ή ͔ '5."
89. ੨ౡઍึ νʔϜϥϘ
92. ϝσΟΞΞʔτ Ξʔτ
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110. ಇ͍͍ͯΔਓ Πϯλʔϯ '5."
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116. '5." ࣮ ࡍ ݚ ڀ ɾ Ϟ ϊ ͮ ͘ Γ ͬ ͯ Ͳ ͏ ΍ Δ ͷ ʁ ࣮ࡍʹखΛಈ͔ͯ͠ΈΑ͏ʢَίʔεʣ
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118. ࣗ෼ͷίϯςΫετ
119. ෺ମʹ͸͟Β͟Β΍ͭΔͭΔ͕͋ΔɽςΫενϟ͕ଘࡏ͢Δɽ ίϯϐϡʔλͷੈքͰ͸ҰॠͰม͑Δ͜ͱ͕ग़དྷΔݱ࣮Ͱ͸΄΅ෆՄೳͩɽ
120. ʹ͸ɼγʔϯΛ ʔϯதͷޫઢ͸ɼ ̑ݸͷύϥϝʔ ͢Ε͹ɼਤ 1(b) ) Ͱهड़Ͱ͖Δɽ ΊɼຊݚڀͰ͸ɼ γʔϯΛத৺ͱ ໘্ͷ̍఺ͱަ ͱ͢Δɽ͜͜Ͱɼ R ͸͜ͷฏ໘্ ̐࣍ݩͷޫઢۭ ) , , ( z y x ) , ( φ θ ) , ( t s ) , ( v u (a) (b) ) , ( R R R φ θ = D v u ) , ( R R R v u = C ) , , ( z y x ) , ( R R R φ θ = D v u ) , ( R R R v u = C ) , ( L L L φ θ = D ) , ( L L L v u = C v u ) , , ( z y x (c) (d) 9RO&9,01R  M. Hullin et al. / State of the Art in Computational Fabrication and Display of Material Appearance
      
                
           
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      ,           -       %"           (     !" .-      !"  Figure 3: A taxonomy of visual appearance representations, extended from [Fuchs 2008], [Lensch 2003], and [Rusinkiewicz and Marschner 2000]: methods for fabrication of material appearance and its interactive display are tightly related to methods for describing material appearance in computer graphics contexts, and follow the same patterns. Simplifying the material types to reduce the parameter space (blue) maintains full interactivity with viewer and light, while restricting the interactions between viewer, material, and illumination maintains a full material gamut (yellow). For reference, illumination-invariant representations are in white. dimensions. Color adds an additional dimension if treated as a separable effect in individual color channels, as is the case with current fabrication techniques. Adding control over light field [Levoy and Hanrahan 1996] to a 4D outgoing light field). BSSRDF and reflectance field differ only in that the BSSRDF is defined relative to a scene surface, while the
121. '5."
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