# Generalized Metric Energies for Continuous Shape Deformation

@inproceedings{Esturo2012GeneralizedME, title={Generalized Metric Energies for Continuous Shape Deformation}, author={Janick Martinez Esturo and Christian R{\"o}ssl and Holger Theisel}, booktitle={MMCS}, year={2012} }

High quality deformations of planar and volumetric domains are central to many computer graphics related problems like modeling, character animation, and non-rigid registration. Besides common “as-rigid-as-possible” approaches the class of nearly-isometric deformations is highly relevant to solve this kind of problems. Recent continuous deformation approaches try to find planar first order nearly-isometric deformations by integrating along approximate Killing vector fields (AKVFs). In this work…

## 11 Citations

### Functional Characterization of Deformation Fields

- Computer ScienceACM Trans. Graph.
- 2019

A novel representation for deformation fields of 3D shapes, by considering the induced changes in the underlying metric, allows one to represent a deformation field in a coordinate-free way as a linear operator acting on real-valued functions defined on the shape.

### Functional representation of deformable surfaces for geometry processing. (Représentation fonctionnelle des surfaces déformables pour l'analyse et la synthèse géométrique)

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- 2016

This thesis investigates further analysis and novel applications in the functional map framework, a coordinate-free encoding of the intrinsic and extrinsic structure of a surface as functional operator, and considers a linearized version of the previous method enabling us to understand deformation fields as acting on the underlying metric.

### Generalized As‐Similar‐As‐Possible Warping with Applications in Digital Photography

- Computer Science, MathematicsComput. Graph. Forum
- 2016

It is shown that the generalization of this classical mapping to the case of quad meshes, taking into account the mapping of the interior of the quad, spawns an entire family of new mappings governed by quadratic energy functions, which allow to control quite precisely various effects of the mapping.

### Directional Field Synthesis, Design, and Processing

- Computer ScienceComput. Graph. Forum
- 2016

This report provides a systematic overview of directional field synthesis for graphics applications, the challenges it poses, and the methods developed in recent years to address these challenges.

### Directional field synthesis, design, and processing

- Computer ScienceSIGGRAPH Courses
- 2017

This course provides a systematic overview of directional field synthesis for graphics applications, the challenges it poses, and the methods developed in recent years to address these challenges.

### Time-Dependent Flow seen through Approximate Observer Killing Fields

- Computer ScienceIEEE Transactions on Visualization and Computer Graphics
- 2019

This work compute a time-dependent observer velocity field that describes the motion of a continuous field of observers adapted to the input flow, corresponding to almost-rigid motion, and proves that theinput flow perceived by the observer field is objective, which makes derived flow features, such as vortices, objective as well.

### As‐Conformal‐As‐Possible Surface Registration

- PhysicsComput. Graph. Forum
- 2014

We present a non‐rigid surface registration technique that can align surfaces with sizes and shapes that are different from each other, while avoiding mesh distortions during deformation. The…

### Estimating Muscle Activity from the Deformation of a Sequential 3D Point Cloud

- Computer ScienceJ. Imaging
- 2022

A multilayer perceptron artificial neural network for inferring muscle activity from skin surface strain is built using surface strain as input and simple lower limb movements are investigated to train the network.

### Making digital characters: creation, deformation, and animation

- Computer ScienceSIGGRAPH Asia Courses
- 2015

The fundamental knowledge of how to create digital characters is introduced, and various important deformation techniques such as skinning, pose space deformation, and how to do volumetric deformation based on real body medical imaging data are introduced.

### Interactive Techniques for High-level Spacetime Editing of Human Locomotion

- Computer Science
- 2016

This thesis presents techniques to allow high-level control of motions for animated human characters, by interactively editing existing locomotive motions, based on simple and well-established biomechanical and physical principles of motion.

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