Preface.- List of Contributors.- List of Algorithms.- Part I Fundamentals and animation applications: Deformable Objects Representation, by Pere Palmer, Arnau Mir, and Manuel González-Hidalgo.- Free form deformations or deformations non-constrained by geometries or topologies, by Romain Raffin.- Cage based deformations: a survey, by Jesús R. Nieto, Antonio Susín.- Image Gradient Based Level Set Methods in 2D and 3D, by Xianghua Xie, Si Yong Yeo, Majid Mirmehdi, Igor Sazonov, and Perumal Nithiarasu.- A fast geometric deformation method to adapt a foot to a platform, by J.M. Buades, M. González-Hidalgo, Francisco J.Perales, S. Ramis-Guarinos, A. Oliver and E. Montiel.- Frame-based interactive simulation of complex deformable objects, by Benjamin Gilles, Franc, ois Faure, Guillaume Bousquet, and Dinesh K. Pai.- Part II Tracking and computer vision applications: Robust Deformable Models for 2D and 3D Shape Estimation, by Jorge S. Marques, Jacinto C. Nascimento, and Carlos Santiago.- Deformable Face Alignment via Local Measurements and Global Constraints, by Jason M. Saragih.- Learning-based Detection and Tracking in Medical Imaging: A Probabilistic Approach, by Yang Wang, Bogdan Georgescu, Terrence Chen, Wen Wu, Peng Wang, Xiaoguang Lu, Razvan Ionasec, Yefeng Zheng, Dorin Comaniciu.- A Supervised Graph-cut Deformable Model for Brain MRI Segmentation, by Laura Igual, Joan Carles Soliva, Antonio Hern´andez-Vela, Sergio Escalera, Oscar Vilarroya, Petia Radeva.- Elastic Registration of Edges Using Diffuse Surfaces, by Stefan Furtinger, Stephen Keeling, Gernot Plank, Anton J Prassl.- Errors in estimates of motion and strain-tensor in ultrasound elastography, by Mehmet Bilgen.