立體派為20 世紀初在藝術界發動的大革命，這時因為正值攝影科技興起的關係，使得許多藝術家開始反思繪畫的本質，他們認為，寫實派的畫風已不具任何意義，因為它能夠被相片完全地取代，而在這樣的思維模式下，他們得到了一個結論，那就是只有用繪畫的方式才能作出的作品，才能夠稱之為繪畫，是故他們發明了一種新的作畫方法，也就是先把物象分解，將其切割成多個視點，並把它們全部畫在同一個畫布中，讓觀看者能夠同時看到物體的多個面向，用這種方式來體現物象的本質，而在本篇論文中，我們將以三維的網格來當作所要呈現的物體，首先，我們會先將這些網格的輪廓與細節做些許的增強，讓它們更像是由繪畫產生的，接著，我們將套用兩種不同風格的自動化立體派繪圖系統來產生我們的畫作，我們將從電腦圖學的角度，分析出這些立體派繪畫的特點，並以這些特點為準則來創造我們自己的立體派繪畫。

Caricature means presenting a normally scaled object (usually human faces) with an exaggerated way. This kind of comic drawing skill could make the object more identifiable, so we would frequently see this drawing widely used on many celebrities at some mock comics. In this paper, we would like to take the 3D meshes as the objects to transfer into a caricature style by scaling the local feature of the meshes. Besides, we will also apply the Cubist style onto our caricature results. Cubism is a sensational revolution of the artist history at 20th. The photography technology was just rising in this period and that caused many artists to make a self-examination of the nature of drawing, since the photography has completely replace the function of the realism drawing. Therefore, they invented a new way to present the object by decomposing it. We will indicate some definitions of the characteristics of several different Cubist style, and apply them on our 3D caricature meshes.

[1] E. Akleman. Making Caricatures with Morphing. Visual Proceedings of ACM
SIGGRAPH’97, 134, Aug. 1997.
[2] E Akleman, J Palmer, R Logan. Making Extreme Caricatures with a New
Interactive 2D Deformation Technique with Simplicial Complexes. Proceedings
of Visual’2000.
[3] Sajan Skaria, Ergun Akleman, Frederic I. Parke. Modeling Subdivision Control
Meshes for Creating Cartoon Faces. International Conference on Shape
Modeling & Applications p.0216.
[4] E Akleman, J Reisch. Modeling expressive 3D caricatures. International
Conference on Computer Graphics and Interactive Techniques, ACM
SIGGRAPH 2004 Sketches.
[5] Lin Liang, Hong Chen, Ying-Qing Xu, Heung-Yeung Shum. Example-based
caricature generation with exaggeration. Computer Graphics and Applications,
2002. Proceedings. 10th Pacific Conference on.
[6] P Cignoni, R Scopigno, M Tarini. A simple normal enhancement technique for
interactive non-photorealistic renderings. Computers & Graphics, 2005.
[7] I Guskov, W Sweldens, P Schroder. Multiresolution Signal Processing for
Meshes. Proceedings of SIGGRAPH, 1999.
[8] Hirokazu Yagou, Alexander Belyaevy, Daming Weiz. High-Boost Mesh Filtering
for 3-D Shape Enhancement. Journal of Three Dimensional Images, 2003.
[9] Yagou H, Ohtake Y, Belyaev A. Mesh smoothing via mean and median filtering
applied to face normals. Geometric Modeling and Processing, 2002.
Proceedings.
[10] Kai-Wah Lee, Wen-Ping Wang. Feature-preserving mesh denoising via bilateral
normal filtering. Computer Aided Design and Computer Graphics, 2005. Ninth
International Conference on.
[11] Andrew Nealen, Takeo Igarashi, Olga Sorkine, Marc Alexa. Laplacian mesh
optimization. Computer graphics and interactive techniques in Australasia and
South East Asia, Proceedings of the 4th international conference on Computer
graphics and interactive techniques in Australasia and Southeast Asia.
[12] Olga Sorkine, Daniel Cohen-Or, Yaron Lipman, Marc Alexa. Laplacian Surface
Editing. ACM International Conference Proceeding Series; Vol. 71, Proceedings
of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry
processing.
[13] Lipman, Y. Sorkine, O. Cohen-Or, D. Levin, D. Rossi, C. Seidel, H.P.
Differential coordinates for interactive mesh editing. Shape Modeling
Applications, 2004. Proceedings.
[14] Olga Sorkine, Marc Alexa. As-rigid-as-possible surface modeling. ACM
International Conference Proceeding Series; Vol. 257, Proceedings of the fifth
Eurographics symposium on Geometry processing.
[15] J Huang, H Zhang, X Shi, X Liu, H Bao. Interactive Mesh Deformation with
Pseudo Material Effects. Computer Animation and Virtual Worlds, 2006.
[16] Yaron Lipman Olga Sorkine David Levin Daniel Cohen-Or. International
Conference on Computer Graphics and Interactive Techniques. International
Conference on Computer Graphics and Interactive Techniques archive. ACM
SIGGRAPH 2005 Papers.
[17] PINKALL U., POLTHIER K.. Computing discrete minimal surfaces and their
conjugates. Experiment. Math. 2, 1 (1993), 15–36.
[18] Andrew Glassner, Digital Cubism. MAY/JUNE 2004 (Vol. 24, No. 3) pp. 82-90
0272-1716/04/$20.00, 2004 IEEE.
[19] Andrew Glassner, Cubism and Cameras: Free-form Optics for Computer
Graphics. January 25, 2000 Technical Report MSR-TR-2000-05.
[20] J. P. Collomosse and P. M. Hall, Cubist Style Rendering from Photographs.
IEEE Transactions on Visualization and Computer Graphics (TVCG), 9(4),
pp.443-453. (October 2003).
[21] C. H. Lee, A. Varshney, and David Jacobs. Mesh Saliency. ACM SIGGRAPH
2005.
[22] SHEFFER, A., AND HART, J. 2002. Seamster: inconspicuous lowdistortion
texture seam layout. In IEEE Visualization, 291–298.
[23] 劉 振源, 1996. 西洋繪畫導覽-立體派繪畫. 藝術圖書公司發行.
[24] Edward F. Fry 著, 陳品秀譯. 藝術館-立體派. 遠流出版社發行.
[25] 縱橫文化. Cubisme 立體主義. 1997.
[26] Kathleen Lochen Staiger (2006). The Oil Painting Course You've Always
Wanted: Guided Lessons for Beginners. Watson–Guptill. ISBN 0823032590
[27] S Katz, A Tal. Hierarchical Mesh Decomposition using Fuzzy Clustering and
Cuts - ACM Transactions on Graphics (TOG), 2003.