[2] 2. [3 5] 3D [6 8] Morishima [9] N n 24 24FPS k k = 1, 2,..., N i i = 1, 2,..., n Algorithm 1 N io user-specified number of inbetween omis

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1,a) 2 2 2 1 2 3 24 Motion Frame Omission for Cartoon-like Effects Abstract: Limited animation is a hand-drawn animation style that holds each drawing for two or three successive frames to make up 24 frames per second. In this paper, we propose a simple method for automatically converting motion capture data to imitate the unique expressions of limited animation. Especially, we focus on the following two features related to motion timing; one is that limited animation does not show subtle motion because it omits almost-static inbetween frames. The other is that it exaggerates motion speeds by omitting inbetweens. The accompanying movie with animating cartoon characters demonstrates that our method can imitate the expressions of limited animation. Keywords: Limited animation, Motion capture 1. 2 3 24 3DCG 1 Kyushu University 2 University of Tsukuba a) maki.terai@gmail.com John Lasseter [1] Motion capture from human actors will always look realistic... for a human. But apply that motion to a chicken and it will look like a human in a chicken suit. 3D 2 1

[2] 2. [3 5] 3D [6 8] Morishima [9] 3 3. 3.1 N n 24 24FPS k k = 1, 2,..., N i i = 1, 2,..., n Algorithm 1 N io user-specified number of inbetween omission for i 1 to N io do k max argmax SSD(k) delete k max -th frame k min argmin SSD(k) s.t. #Duplicated(k 1) < 3 duplicate (k min 1)-th frame end for p k i R3 k (k 1) (SSD) k SSD(k) = n i=1 3.2 p k i p k 1 i 2 (1) ( 1)SSD k max k min SSD (k min 1) 3 3 SSD SSD Algorithm 1 #Duplicated(k) k 3.3 ( 2) SSD k min k min (k min 1) 3 Algorithm 2 #Copied(k) k 2

1 SSD (SSD) 64 65 65 14 15 14 3 (b) (c) (a) 2 5 2 4. 2 SSD(1) 2 1 Algorithm 2 N hf user-specified number of holding frames for i 1 to N hf do k min argmin SSD(k) s.t. #Copied(k 1) < 3 copy (k min 1)-th frame to k min -th frame end for 3.4 SSD SSD SSD ( 3) C++ Qt Library Intel Core i7-2760qm 2.40GHz CPU PC Mocapdata.com [10] CMU Graphics Lab Motion Capture Database [11] 3D MikuMikuDance [12] *1 4, 5, 6, 7 24FPS *2 4 3 6 5 2 6 2 5 7 2 7 8 4 *1 *2 URL http://vacation.aid.design.kyushu-u.ac.jp/~maki/ projects/limited_animation/limited_animation_ja.html 3

1 N io N hf [ms] Pitch 129 4 33 69 Kick 92 4 30 28 Tennis 88 4 29 27 Baseball swing 120 6 40 63 25 5451 8 4 1 N io N hf N io N hf N io 4 6 N hf 3 1 5. SSD SSD SSD SSD SSD SSD SSD [4] [1] Lasseter, J.: Tricks to animating characters with a computer, SIGGRAPH Comput. Graph., Vol. 35, No. 2, pp. 45 47 (2001). [2] (2004). [3] Chenney, S., Pingel, M., Iverson, R. and Szymanski, M.: Simulating cartoon style animation, Proceedings of the 2nd international symposium on Non-Photorealistic Animation and Rendering (NPAR), pp. 133 138 (2002). [4] Wang, J., Drucker, S. M., Agrawala, M. and Cohen, M. F.: The cartoon animation filter, ACM Trans. Graph., Vol. 25, No. 3, pp. 1169 1173 (2006). [5] Li, Y., Gleicher, M., Xu, Y.-Q. and Shum, H.-Y.: Stylizing motion with drawings, Proceedings of the 2003 ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA), pp. 309 319 (2003). [6] Hsu, E., da Silva, M. and Popović, J.: Guided time warping for motion editing, Proceedings of the 2007 ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA), pp. 45 52 (2007). [7] McCann, J., Pollard, N. S. and Srinivasa, S.: Physicsbased motion retiming, Proceedings of the 2006 ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA), pp. 205 214 (2006). [8] Kwon, J.-y. and Lee, I.-K.: An animation bilateral filter for slow-in and slow-out effects, Graph. Models, Vol. 73, No. 5, pp. 141 150 (2011). [9] Morishima, S., Kuriyama, S., Kawamoto, S., Suzuki, T., Taira, M., Yotsukura, T. and Nakamura, S.: Data-driven efficient production of cartoon character animation, SIG- GRAPH 2007 sketches (2007). [10] Mocapdata.com, http://www.mocapdata.com/. [11] CMU Graphics Lab Motion Capture Database, http://mocap.cs.cmu.edu/. [12] MikuMikuDance, http://www.geocities.jp/higuchuu4/. 4

4 Pitch 129 4 69 5 Kick 92 4 30 5

6 Tennis 88 4 29 7 Baseball swing 120 6 40 6