Implicit fairing of irregular meshes using diffusion and curvature flow

Desbrun, Mathieu; Meyer, Mark; Schröder, Peter; Barr, Alan H.

doi:10.1145/311535.311576

Cited by 1,244 publications

(907 citation statements)

References 13 publications

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“…The odd vertices were defined as a set of independent vertices which are not directly connected by an edge. All the selected odd vertices are removed by a mesh simplification algorithm in the global down-sampling stage, and then predicted back using the prediction operator that relax the curvature based on the Meyer smoothing operator [34,35].Szczensa proposed a new multi-resolution analysis for irregular meshes using the lifting scheme, in which she proposed a new prediction operator using Voronoi cells in a local neighbourhood [36,37].Very recently, the authors have proposed a lifting based algorithm to filter the texture on freeform surface, this technique consisted of five major operators; split, predict, update, simplify (down-sampling) and merge (upsampling) [16].…”

Section: -Multi-scales Analysis On Surfaces Represented By Triangulamentioning

confidence: 99%

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Multi-scale freeform surface texture filtering using a mesh relaxation scheme

Jiang

Abdul-Rahman

Scott

2013

Meas. Sci. Technol.

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Surface filtering algorithms using Fourier, Gaussian, wavelets … etc., are well-established for simple Euclidean geometries. However, these filtration techniques cannot be applied to today's complex freeform surfaces, which have non-Euclidean geometries, without distortion of the results. This paper proposes a new multi-scale filtering algorithm for freeform surfaces that are represented by triangular meshes based on a mesh relaxation scheme. The proposed algorithm is capable of decomposing a freeform surface into different scales and to separate surface roughness, waviness and form from each other as will be demonstrated throughout the paper. Results of applying the proposed algorithm to computer-generated as well as real surfaces are represented and compared with a lifting wavelet filtering algorithm.

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Section: -Multi-scales Analysis On Surfaces Represented By Triangulamentioning

confidence: 99%

“…Roy's curvature relaxation was inspired by the work of Meyer et al [35] on the local and accurate discrete differential-geometry operators which was previously applied for surface de-noising [34,41].…”

Section: -Freeform Surface Texture Filtering Using Mesh Relaxation Smentioning

confidence: 99%

Multi-scale freeform surface texture filtering using a mesh relaxation scheme

Jiang

Abdul-Rahman

Scott

2013

Meas. Sci. Technol.

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“…This approach is simple and fast, however, it produces an oversmoothing result after few iterations. Note that the Laplacian Smoothing is just a special case of the Weighted Laplacian Filter [11], also called Local Averaging:…”

Section: Laplacian Smoothingmentioning

confidence: 99%

“…This technique is quite simple and fast but produces an oversmoothing result. Many anisotropic diffusion methods were proposed such as the diffusion and curvature flow technique presented in [9] [2] by using other diffusion functions such as Laplacian, Reduced Centered Gaussian and Rayleigh function instead of the Cauchy function.…”

Section: Introductionmentioning

confidence: 99%

Kernel-Based Laplacian Smoothing Method for 3D Mesh Denoising

Badri

Aboutajdine

2012

Lecture Notes in Computer Science

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Abstract. In this paper, we present an improved Laplacian smoothing technique for 3D mesh denoising. This method filters directly the vertices by updating their positions. Laplacian smoothing process is simple to implement and fast, but it tends to produce shrinking and oversmoothing effects. To remedy this problem, firstly, we introduce a kernel function in the Laplacian expression. Then, we propose to use a linear combination of denoised instances. This combination aims to reduce the number of iterations of the desired method by coupling it with a technique that leads to oversmoothing. Experiments are conducted on synthetic triangular meshes corrupted by Gaussian noise. Results show that we outperform some existing methods in terms of objective and visual quality.

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“…High frequency noise in the mesh is eliminated using a volume preserving diffusion technique by Desbrun et.al. [16]. Figure 6 shows results from the reconstruction system.…”

Section: Meshingmentioning

confidence: 99%

Model-Assisted 3D Face Reconstruction from Video

Fidaleo

Medioni

Analysis and Modeling of Faces and Gestures

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Abstract. This paper describes a model-assisted system for reconstruction of 3D faces from a single consumer quality camera using a structure from motion approach. Typical multi-view stereo approaches use the motion of a sparse set of features to compute camera pose followed by a dense matching step to compute the final object structure. Accurate pose estimation depends upon precise identification and matching of feature points between images, but due to lack of texture on large areas of the face, matching is prone to errors.To deal with outliers in both the sparse and dense matching stages, previous work either relies on a strong prior model for face geometry or imposes restrictions on the camera motion. Strong prior models result in a serious compromise in final reconstruction quality and typically bear a signature resemblance to a generic or mean face. Model-based techniques, while giving the appearance of face detail, in fact carry this detail over from the model prior. Face features such as beards, moles, and other characteristic geometry are lost. Motion restrictions such as allowing only pure rotation are nearly impossible to satisfy by the end user, especially with a handheld camera.We significantly improve the robustness and flexibility of existing monocular face reconstruction techniques by introducing a deformable generic face model only at the pose estimation, face segmentation, and preprocessing stages. To preserve data fidelity in the final reconstruction, this generic model is discarded completely and dense matching outliers are removed using tensor voting: a purely data-driven technique. Results are shown from a complete end to end system.

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Implicit fairing of irregular meshes using diffusion and curvature flow

Cited by 1,244 publications

References 13 publications

Multi-scale freeform surface texture filtering using a mesh relaxation scheme

Multi-scale freeform surface texture filtering using a mesh relaxation scheme

Kernel-Based Laplacian Smoothing Method for 3D Mesh Denoising

Model-Assisted 3D Face Reconstruction from Video

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