Non-uniform interpolatory subdivision surface

Li, Xin; Chang, Yubo

doi:10.1016/j.amc.2017.11.035

Cited by 11 publications

(5 citation statements)

References 38 publications

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“…Very often in practical applications, one may have interest in extremely flexible geometric representations through estimating or setting the values of associated weights, adjusting the positions of the control points, choosing the knots adaptively and modifying the knot vector distribution. This brings forth the idea of applying non-uniform B-spline [41] and non-Uniform Rational B-Spline [42] to shape reconstruction in EIT, which will be investigated in future work.…”

Section: Discussion On the Resultsmentioning

confidence: 99%

B-Spline-Based Sharp Feature Preserving Shape Reconstruction Approach for Electrical Impedance Tomography

Liu

Smyl

et al. 2019

IEEE Trans. Med. Imaging

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Section: Discussion On the Resultsmentioning

confidence: 99%

B-Spline-Based Sharp Feature Preserving Shape Reconstruction Approach for Electrical Impedance Tomography

Liu

Smyl

et al. 2019

IEEE Trans. Med. Imaging

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“…Figure 14 shows a character model, where we use different sharp features on the mouth, cheeks, eyelids and brow ridges. All these models are parameterized by the average length of the edges of the control grid [LC18].…”

Section: Resultsmentioning

confidence: 99%

Non‐Uniform Subdivision Surfaces with Sharp Features

Tian

Chen

2020

Computer Graphics Forum

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Sharp features are important characteristics in surface modelling. However, it is still a significantly difficult task to create complex sharp features for Non‐Uniform Rational B‐Splines compatible subdivision surfaces. Current non‐uniform subdivision methods produce sharp features generally by setting zero knot intervals, and these sharp features may have unpleasant visual effects. In this paper, we construct a non‐uniform subdivision scheme to create complex sharp features by extending the eigen‐polyhedron technique. The new scheme allows arbitrarily specifying sharp edges in the initial mesh and generates non‐uniform cubic B‐spline curves to represent the sharp features. Experimental results demonstrate that the present method can generate visually more pleasant sharp features than other existing approaches.

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“…12 illustrate a car roof and guitar model, respectively, with an EP of valence-5 for each of the two models. The knot intervals in the mesh of the car roof model were assigned values according to the centripetal parameterization [ 25 ]. In the figure, there is a large difference between the knot intervals of the adjacent edges of the EP in each part of the car roof and guitar models.…”

Section: Resultsmentioning

confidence: 99%

Improved non-uniform subdivision scheme with modified Eigen-polyhedron

Zhang

Tian

2022

Vis. Comput. Ind. Biomed. Art

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In this study, a systematic refinement method was developed for non-uniform Catmull-Clark subdivision surfaces to improve the quality of the surface at extraordinary points (EPs). The developed method modifies the eigenpolyhedron by designing the angles between two adjacent edges that contain an EP. Refinement rules are then formulated with the help of the modified eigenpolyhedron. Numerical experiments show that the method significantly improves the performance of the subdivision surface for non-uniform parameterization.

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Non-uniform interpolatory subdivision surface

Cited by 11 publications

References 38 publications

B-Spline-Based Sharp Feature Preserving Shape Reconstruction Approach for Electrical Impedance Tomography

B-Spline-Based Sharp Feature Preserving Shape Reconstruction Approach for Electrical Impedance Tomography

Non‐Uniform Subdivision Surfaces with Sharp Features

Improved non-uniform subdivision scheme with modified Eigen-polyhedron

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