Multiresolution interpolation meshes

Michikawa, Takashi; Kitaoka, Takashi; Fujita, Masayuki; Chiyokura, Hiroaki

doi:10.1109/pccga.2001.962858

Cited by 32 publications

(27 citation statements)

References 27 publications

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“…An inherent limitation of a spherical parameterization is that it can only be applied to closed, genus zero surfaces. A more general approach is to parameterize the models over a common base mesh [LDSS99,LCLC03,MKFC01,PSS01]. This approach splits the meshes into matching patches with an identical inter-patch connectivity.…”

Section: Joint Parameterizationmentioning

confidence: 99%

Recent Advances in Remeshing of Surfaces

Alliez

Ucelli

Gotsman

et al. 2008

Mathematics and Visualization

199

168

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Summary.Remeshing is a key component of many geometric algorithms, including modeling, editing, animation and simulation. As such, the rapidly developing field of geometry processing has produced a profusion of new remeshing techniques over the past few years. In this paper we survey recent developments in remeshing of surfaces, focusing mainly on graphics applications. We classify the techniques into five categories based on their end goal: structured, compatible, high quality, feature and error-driven remeshing. We limit our description to the main ideas and intuition behind each technique, and a brief comparison between some of the techniques. We also list some open questions and directions for future research.

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Section: Joint Parameterizationmentioning

confidence: 99%

Recent Advances in Remeshing of Surfaces

Alliez

Ucelli

Gotsman

et al. 2008

Mathematics and Visualization

199

168

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“…(1) To place source points on a circle within three times the diameter of ∂D, and (2) To sample them on an offset surface of ∂D. As shown in [14], source point locations desirable for analytic cases might work perfectly for discrete surfaces. We conducted experiments by evaluating fitting error under different shapes of D and different distances from ∂D.…”

Section: E Source and Collocation Points Placementmentioning

confidence: 99%

Dynamic harmonic texture mapping using methods of fundamental solutions

2011

2011 6th International Conference on Computer Science &Amp; Education (ICCSE)

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Feature-aligned surface mapping improves the effect of texture mapping by enforcing feature correspondence between 3D meshes and images. We present a novel constrained texture mapping computation framework based on the method of fundamental solution (MFS). We first flatten the surface onto planar domain, then compose a 2D harmonic map with user specified features aligned with corresponding texels in the texture image. We demonstrate that our framework can efficiently conduct feature-aligned texture mapping with dynamic deforming meshes or texture images.

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“…2,5,[13][14][15][16] This approach splits the meshes into matching patches with an identical inter-patch connectivity. After the split, each set of matching patches is parameterized on a common convex planar domain.…”

Section: Simplicial Parameterizationmentioning

confidence: 99%

Mesh morphing using polycube‐based cross‐parameterization

Fan¹,

Jin

Feng³

et al. 2005

Computer Animation & Virtual

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In this paper, we propose a novel mesh morphing approach based on polycubic crossparameterization. We compose parameterizations over the surfaces of the polycubes whose shape is similar to that of the given meshes. Because the polycubes capture the large-scale features, we can easily preserve the shape of the models, mapping legs to legs, head to head, and so on. For the finer features that are not reflected by the shape of the polycubes, we split the polycubes into matching patches and optimize them to get a low-distortion bijection that satisfies user-prescribed constraints. Our approach works well for meshes with arbitrary genus as long as the polycubes capture this feature and transfers texture seamlessly. We can also build maps with singularities between models with different genus.

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Multiresolution interpolation meshes

Cited by 32 publications

References 27 publications

Recent Advances in Remeshing of Surfaces

Recent Advances in Remeshing of Surfaces

Dynamic harmonic texture mapping using methods of fundamental solutions

Mesh morphing using polycube‐based cross‐parameterization

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