3D VR CAD 3D CAD CAD [1] CAD 3DCG [2] [3] CAD 3D NC CG [4] Ccurve XY C curve α C curve [5], [6], [7], [8], [9] 2 [10] 1 [11], [12] 2.2 [13] Tcu
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1 1,a) , A Study of Simulating Log-aesthetic Curved Surfaces under Various Light Source Environments with Augmented Reality Ryo Hirano 1,a) Toshinobu Harada 2 Kohe Tokoi 2 Received: October 21, 2011, Accepted: May 12, 2012 Abstract: In this study, we developed a simulation system that reproduced the light source environment in a real world with Augmented Reality, and simulated log-aesthetic curved surfaces in the system. Concretely, this system renders the curved surfaces using the result of spherical harmonics analysis of the light source environment image that is reflected on the metallic hemisphere in order to reproduce the diffuse reflection of the curved surface. Moreover, we experimented in the impression evaluation of the curved surfaces under various environments (fine, cloudy, and evening sun, etc.) with the developed systems and clarified the influence of the light source environment to the impression of curved surfaces. Keywords: log-aesthetic curved surface, Augmented Reality, impression evaluation, precomputed radiance transfer 1. CAD 3D Virtual Reality VR 3D 3D 1 Graduate School of Wakayama University, Wakayama , Japan 2 Wakayama University, Wakayama , Japan a) RyoHiranoDSP@gmail.com c 2012 Information Processing Society of Japan 2028
2 3D VR CAD 3D CAD CAD [1] CAD 3DCG [2] [3] CAD 3D NC CG [4] Ccurve XY C curve α C curve [5], [6], [7], [8], [9] 2 [10] 1 [11], [12] 2.2 [13] Tcurve T curve β Tcurve [13] 2 c 2012 Information Processing Society of Japan 2029
3 1 Fig. 1 Diagrammatic illustration of a log-aesthetic curved surface. [14] 2.3 [1] γ γ γ γ c curve γ γ t curve γ c curve γ t curve γ c γ t (1) 1 2 (2) B-Spline CAD (3) CAD 3. [15] (1) S f(s) y(s) f(s) f(s) f(s) = c(s)y(s)ds (1) (1) c(s) y(s) S c(s) (2) S f(s) y(s) c(s) = f(s)y(s)ds (2) (1) f(s) y(s) c(s) c 2012 Information Processing Society of Japan 2030
![2 AR ARToolkit [16] AR 3D 3D Web 3D 3D 4.](/docs-images/92/109954609/images/4-2.jpg "1 3D 3 3D 5.")
4 4. Augmented Reality AR D (1) Light Probe Image (2) (3) (4) (5) 2 Fig. 2 Flow of rendering by using spherical harmonics analysis alogorithm. 4.2 AR ARToolkit [16] AR 3D 3D Web 3D 3D 4.1 3D 3 3D 5. CG 2 c 2012 Information Processing Society of Japan 2031
5 情報処理学会論文誌 Vol.53 No (Aug. 2012) 図 3 開発したシステムを用いた評価実験の風景 Fig. 3 Scene of the evaluation experiment with the developed system. 表 1 評価実験に用いた対数美的曲面のパラメータ値 Table 1 Parameters of a log-aesthetic curved surface for the evaluation experiment. 始点曲率半径 終点曲率半径 α 基準線 基準線 ガイド線 始点捩率半径 終点捩率半径 β 基準線 基準線 ガイド線 γc γt 樹脂モデル曲面を用いた評価実験 樹脂モデル曲面を用いて 複数の光源環境下で評価実験 を行った 樹脂モデル曲面には 自動車などの工業製品で 図 4 樹脂モデル曲面を用いた評価実験の結果 Fig. 4 Results of the evaluation experiment by using a log-aesthetic curved surface s resin model. クレイモデルの評価に用いられる塗装を施したようにでき るダイノックフィルムを貼った 表 1 に示すパラメータ値 かず平面的に見え 曲がり具合いが大きい部分でより を用いて NC マシンにより製作した樹脂モデル曲面を使っ 丸みが強調された 曲面全体として ある位置から急 て 光源環境が異なる天候と時間を変え 時期は 2011 年 1 峻に丸みが強くなっている印象となった 月上旬に和歌山大学システム工学部前で 天気 晴れ 曇 り と時間 昼 夕 の光源環境下で評価実験を行った 晴れ 夕 太陽が地平線に沈み始め太陽の光が弱くなり 空全体にグラデーションがかかり それらが曲面に映 天気が曇りの日は 1 日を通して雲により太陽光が遮蔽さ り込むため曲面全体に満遍なく陰影ついた 図 4 の A れ時間による光源環境の変化が少ないため昼のみの実験と から B に方向 そのため 他の光源環境に比べ曲面 した 各光源環境下の樹脂モデル曲面のサイドビュー フ 全体の丸みが強調された印象となった ロントビュー アイソメトリックビューの写真を図 4 に 曇り 昼 太陽の光が雲に遮られ弱い光が一様に曲面全 示している 各光源環境ごとの実験結果を以下に示す 以 体に映り込み陰影がほとんどつかなかった そのため 下 主曲率 の一方 が大きな値を持つ曲面上の領域を曲 曲面全体として平面的な印象となった がり具合いが大きい領域とし 小さな値を持つ曲面上の領 同じ曲面であっても 3 つの光源環境下において曲面か 域を曲がり具合いが小さい領域とする ら与えられる印象が異なった 陰影がつくことで曲面の丸 晴れ 昼 曲面の曲がり具合いが小さい領域 図 4 の A みがより強調された印象になったと考えられる また 曇 部分 では 太陽光の強い光が曲面の法線方向に対し りの日を除き光源環境全体より太陽の光の影響が強く出て て小さい角度で入射するためハイライトが入った そ いるため 太陽の位置や光の入射角も曲面の印象に大きく のため 曲面の曲がり具合いが小さい領域では白くな 影響していると考えられる り陰影がつかなかった 一方で 曲面の曲がり具合い が大きい領域 図 4 の B 部分 では陰影がしっかりつ いた 曲面の曲がり具合いが小さい領域では陰影がつ c 2012 Information Processing Society of Japan 5.2 CG モデル曲面を用いた評価実験 開発したシステムを用いて 5.1 節の樹脂モデル曲面を用 2032
6 5 CG Fig. 5 Results of the evaluation experiment by using a logaesthetic curved surface with developed system. CG CG 5 5 C 5 D 5 C D 2 5 D URL surface 5.3 CG CG CG CG CG CG 4 A 5 C 4 B 5 D CG CG CG CG 5.4 CG CG CG 4 A B CG 5 C D Adobe Photoshop CS 5.5 High Daynamic Range 6 CG c 2012 Information Processing Society of Japan 2033
![5 CG CG CG CG CG (1) (2) NC AR (3) AR (1) CG CG CG (2) (3) [17] B No.](/docs-images/92/109954609/images/7-3.jpg "23300034 [1] VR CAD Vol.2009, No.12, pp.13 16 (2009). [2] Woo, J. 3DCG 3 Vol.")
7 6. 6 CG Fig. 6 Luminance histograms of a log-aesthetic curved surface with developed system and a log-aesthetic curved surface s resin model under various environments. CG CG CG CG CG CG CG CG (1) (2) NC AR (3) AR (1) CG CG CG (2) (3) [17] B No [1] VR CAD Vol.2009, No.12, pp (2009). [2] Woo, J. 3DCG 3 Vol.57, pp (2010). [3] Vol.40, No.2, pp (1999). [4] Vol.3, No.3, pp (1998). [5] c 2012 Information Processing Society of Japan 2034
![Vol.47, No.3, pp.29 38 (2000). [6] Yoshimoto, F. and Harada, T.: Analysis of the characteristics of curves in natural and factory products, Proc.](/docs-images/92/109954609/images/8-0.jpg "2nd IASTED International Conference on Visualization, Imaging, and Image Processing, pp.276 281, ACTA Press (2002). [7] Vol.51, No.1, pp.77 84 (2004).")
![[8] CURVES IN NATURAL AND FACTORY PRODUCTS, Bulletin of Japanese Society for the Science of Design, Vol.50, No.3, pp.55 62 (2003). [9] Vol.54, No.3, pp.39 46 (2007). [10] Vol.42, No.3, pp.33 40 (1995).](/docs-images/92/109954609/images/8-1.jpg "[11] Visual Computing/ CAD Vol.2006, pp.72 82 (2006). [12] Yoshida, N. and Saito, T.: Interactive Aesthetic Curve Segments, The Visual Computer (Pacific Graphics), Vol.22, No.9-11, pp.896 905 (2006).")
![[13] CAD Vol.2007, No.129, pp.49 54 (2007). [14] CAD Vol.2007, No.111, pp.56 60 (2007). [15] Sloan, P., Jan, K. and John, S.](/docs-images/92/109954609/images/8-2.jpg ": Precomputed Radiance Transfer for Real-time Rendering in Dynamic, Low- Frequency Lighting Environments, ACM Trans. Graphics (TOG) Proc. ACM SIGGRAPH 2002, Vol.21, No.3, pp.527 536 (2002).")
8 Vol.47, No.3, pp (2000). [6] Yoshimoto, F. and Harada, T.: Analysis of the characteristics of curves in natural and factory products, Proc. 2nd IASTED International Conference on Visualization, Imaging, and Image Processing, pp , ACTA Press (2002). [7] Vol.51, No.1, pp (2004). [8] CURVES IN NATURAL AND FACTORY PRODUCTS, Bulletin of Japanese Society for the Science of Design, Vol.50, No.3, pp (2003). [9] Vol.54, No.3, pp (2007). [10] Vol.42, No.3, pp (1995). [11] Visual Computing/ CAD Vol.2006, pp (2006). [12] Yoshida, N. and Saito, T.: Interactive Aesthetic Curve Segments, The Visual Computer (Pacific Graphics), Vol.22, No.9-11, pp (2006). [13] CAD Vol.2007, No.129, pp (2007). [14] CAD Vol.2007, No.111, pp (2007). [15] Sloan, P., Jan, K. and John, S.: Precomputed Radiance Transfer for Real-time Rendering in Dynamic, Low- Frequency Lighting Environments, ACM Trans. Graphics (TOG) Proc. ACM SIGGRAPH 2002, Vol.21, No.3, pp (2002). [16] ARToolkit PRMU Vol.101, No.652, pp (2002). [17] CAD Vol.2012-CG-146, No.32, pp.1 5 (2012) ACM 22 AR VR c 2012 Information Processing Society of Japan 2035
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The copyright of this material is retained by the Information Processing Society of Japan (IPSJ). The material has been made available on the website
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