A signal processing approach to fair surface design

Taubin, Gabriel

doi:10.1145/218380.218473

Cited by 1,469 publications

(1,055 citation statements)

References 44 publications

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“…The volumetric data are polygonized using the Marching Cubes algorithm [9]. The polygonized surface is then smoothed [13] and displayed using a non-photorealistic rendering technique [8].…”

Section: Methodsmentioning

confidence: 99%

A Sketching Interface for Modeling the Internal Structures of 3D Shapes

et al. 2003

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Abstract. This paper presents a sketch-based modeling system for creating objects that have internal structures. The user input consists of hand-drawn sketches and the system automatically generates a volumetric model. The volumetric representation solves any self-intersection problems and enables the creation of models with a variety of topological structures, such as a torus or a hollow sphere. To specify internal structures, our system allows the user to cut the model temporarily and apply modeling operations to the exposed face. In addition, the user can draw multiple contours in the Create or Sweep stages. Our system also allows automatic rotation of the model so that the user does not need to perform frequent manual rotations. Our system is much simpler to implement than a surface-oriented system because no complicated mesh editing code is required. We observed that novice users could quickly create a variety of objects using our system.

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“…The volumetric data are polygonized using the Marching Cubes algorithm [9]. The polygonized surface is then smoothed [13] and displayed using a non-photorealistic rendering technique [8].…”

Section: Methodsmentioning

confidence: 99%

A Sketching Interface for Modeling the Internal Structures of 3D Shapes

et al. 2003

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“…The choice of the scale of "small" is chosen to be smaller than a residue, but larger than an atom. Our implementation uses Taubin's filter [36,37] as it is efficient and sufficiently volumepreserving. Local operations are performed on vertices lying in disc surrounding a given point, with importance falling off with the inverse of distance, as given by Fujiwara [12].…”

Section: Abstracted Surfacesmentioning

confidence: 99%

Molecular Surface Abstraction

Cipriano

Gleicher

2007

IEEE Trans. Visual. Comput. Graphics

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Abstract-In this paper we introduce a visualization technique that provides an abstracted view of the shape and spatio-physico-chemical properties of complex molecules. Unlike existing molecular viewing methods, our approach suppresses small details to facilitate rapid comprehension, yet marks the location of significant features so they remain visible. Our approach uses a combination of filters and mesh restructuring to generate a simplified representation that conveys the overall shape and spatio-physico-chemical properties (e.g. electrostatic charge). Surface markings are then used in the place of important removed details, as well as to supply additional information. These simplified representations are amenable to display using stylized rendering algorithms to further enhance comprehension. Our initial experience suggests that our approach is particularly useful in browsing collections of large molecules and in readily making comparisons between them.

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“…2D image denoising techniques were adapted for 3D mesh denoising. Taubin [8] proposed a Laplacian-based technique called Laplacian flow that repeatedly adjusts the location of each vertex to the geometric center of its vertex neighborhood. This technique is quite simple and fast but produces an oversmoothing result.…”

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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A signal processing approach to fair surface design

Cited by 1,469 publications

References 44 publications

A Sketching Interface for Modeling the Internal Structures of 3D Shapes

A Sketching Interface for Modeling the Internal Structures of 3D Shapes

Molecular Surface Abstraction

Kernel-Based Laplacian Smoothing Method for 3D Mesh Denoising

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