olgaInteractive Shape Modeling(1):classmaterials:Shape Creation and Deformation

from:
http://cs.nyu.edu/~sorkine/courses/shape_modeling/isp2009/pmwiki.php?n=ClassMaterial.ShapeDeformation

Shape Deformation

Shape deformation studies the mathematical/physical formulations, efficient algorithms and user interfaces to intuitively edit the shape of objects. The modification of the object's geometry may be easy or difficult, depending on the shape representation, the geometric complexity of the object and the desired editing operation. In this course, we will concentrate on editing and deformation of discrete surfaces (mainly triangle meshes).

Slides

• Shape deformation intro
• Shape deformation using differential coordinates
• Sketch-based interfaces for shape creation and editing
• Space deformations

Demos

• As-rigid-as-possible curve manipulation: Applet, Project page

PapersSurface-based mesh deformation

• On Linear Variational Surface Deformation Methods
• Differential coordinates
• Laplacian mesh editing
• Poisson mesh editing
• As-rigid-as-possible shape manipulation
• Rotation-invariant coordinates
• Pyramid coordinates
• Subspace gradient-domain editing
• Mesh puppetry
• PriMo
• As-rigid-as-possible surface modeling

Space deformation

• Early FFDs: Free-Form Deformation of Solid Primitives,Wires
• Real-Time Shape Editing using Radial Basis Functions
• MLS: Least Squares and Moving Least Squares Introduction,Image Deformation Using MLS, 3D Deformations using MLS
• Mean Value coordinates: Initial theory, Mean value coordinates for closed triangular meshes
• Harmonic coordinates
• Green coordinates, Complex barycentric coordinates
• Embedded as-rigid-as-possible deformations

Multiresolution mesh editing

• (Kobbelt et al. 98) Interactive Multi-Resolution Modeling on Arbitrary Meshes
• (Zorin et al. 97) Interactive Multiresolution Mesh Editing
• (Botsch and Kobbelt 04) An Intuitive Framework for Real-Time Freeform Modeling

Sketch-based interfaces

• Teddy
• Smooth Teddy
• FiberMesh
• A Sketch-Based Interface for Detail-Preserving Mesh Editing
• SilSketch
• Sketch Based Image Deformation, Eitz et al. 2007

Shape posing and skin animation

• Pose Space Deformation
• Shape by example
• SCAPE: shape completion and animation of people
• MeshIK: mesh-based inverse kinematics
• Context-Aware Skeletal Shape Deformation
• Real-time enveloping with rotational regression
• Dual quaternions