ACM SIGGRAPH 2009 Papers 2009
DOI: 10.1145/1576246.1531340
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Variational harmonic maps for space deformation

Abstract: A space deformation is a mapping from a source region to a target region within Euclidean space, which best satisfies some userspecified constraints. It can be used to deform shapes embedded in the ambient space and represented in various forms -polygon meshes, point clouds or volumetric data. For a space deformation method to be useful, it should possess some natural properties: e.g. detail preservation, smoothness and intuitive control. A harmonic map from a domain Ω ⊂ R d to R d is a mapping whose d compone… Show more

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Cited by 64 publications
(93 citation statements)
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“…In this context, we note that many specific mesh-based optimization techniques have been developed for a range of applications, including image and video retargeting [14], [15] and detail-preserving shape manipulation and deformation [16], [17], [18], [19].…”
Section: Related Workmentioning
confidence: 99%
“…In this context, we note that many specific mesh-based optimization techniques have been developed for a range of applications, including image and video retargeting [14], [15] and detail-preserving shape manipulation and deformation [16], [17], [18], [19].…”
Section: Related Workmentioning
confidence: 99%
“…However, it lacks an underlying structure to intuitively generate and deform it in a volume and shapepreserving way. Works such as [1] allow the user to interact with the cage using a small number of position and orientation constraints. However, how to generate the cage remains an issue.…”
Section: Deformation Modelmentioning
confidence: 99%
“…Recently, cage-based methods have been proposed which embed the target object within an arbitrary non-convex polyhedral cage, and then generate a spatial deformation based on deformations of the cage [14,13,15,3]. The cage is a closed surface and typically a coarse mesh of the target object is used.…”
Section: Related Workmentioning
confidence: 99%