Multi‐Variate Gaussian‐Based Inverse Kinematics

dc.contributor.authorHuang, Jingen_US
dc.contributor.authorWang, Qien_US
dc.contributor.authorFratarcangeli, Marcoen_US
dc.contributor.authorYan, Keen_US
dc.contributor.authorPelachaud, Catherineen_US
dc.contributor.editorChen, Min and Zhang, Hao (Richard)en_US
dc.date.accessioned2018-01-10T07:43:06Z
dc.date.available2018-01-10T07:43:06Z
dc.date.issued2017
dc.description.abstractInverse kinematics (IK) equations are usually solved through approximated linearizations or heuristics. These methods lead to character animations that are unnatural looking or unstable because they do not consider both the motion coherence and limits of human joints. In this paper, we present a method based on the formulation of multi‐variate Gaussian distribution models (MGDMs), which precisely specify the soft joint constraints of a kinematic skeleton. Each distribution model is described by a covariance matrix and a mean vector representing both the joint limits and the coherence of motion of different limbs. The MGDMs are automatically learned from the motion capture data in a fast and unsupervised process. When the character is animated or posed, a Gaussian process synthesizes a new MGDM for each different vector of target positions, and the corresponding objective function is solved with Jacobian‐based IK. This makes our method practical to use and easy to insert into pre‐existing animation pipelines. Compared with previous works, our method is more stable and more precise, while also satisfying the anatomical constraints of human limbs. Our method leads to natural and realistic results without sacrificing real‐time performance.Inverse kinematics (IK) equations are usually solved through approximated linearizations or heuristics. These methods lead to character animations that are unnatural looking or unstable because they do not consider both the motion coherence and limits of human joints. In this paper, we present a method based on the formulation of multi‐variate Gaussian distribution models (MGDMs), which precisely specify the soft joint constraints of a kinematic skeleton. Each distribution model is described by a covariance matrix and a mean vector representing both the joint limits and the coherence of motion of different limbs.en_US
dc.description.number8
dc.description.sectionheadersArticles
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume36
dc.identifier.doi10.1111/cgf.13089
dc.identifier.issn1467-8659
dc.identifier.pages418-428
dc.identifier.urihttps://doi.org/10.1111/cgf.13089
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf13089
dc.publisher© 2017 The Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectanimation
dc.subjectclustering
dc.subjectguassian process
dc.subjectinverse kinematics
dc.subjectJacobian
dc.subjectI.3.7 [Computer Graphics]: Three‐Dimensional Graphics and Realism
dc.subjectAnimation
dc.titleMulti‐Variate Gaussian‐Based Inverse Kinematicsen_US
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