3D B-spline curve construction from orthogonal views with self-overlapping projection segments

Yang, Gongping; Yong, Jun-Hai; Shi, Kan-Le; Huang, Song; Ye, Tian-Yu

doi:10.1016/j.cag.2015.07.010

Cited by 6 publications

(4 citation statements)

References 12 publications

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“…Point cloud, skeleton, and mesh grid are the widely used man-made shape type for face reconstruction. Lu et al (2016) present an a stepwise tracking method approach to reconstruct 3D B-spline space curves from planar orthogonal views through minimizing the energy function with weight values. Spatial transformation method (Sun et al, 2013) estimates positions of sparse facial feature points.…”

Section: Facial Surface Modelingmentioning

confidence: 99%

Geometrical Consistency Modeling on B-Spline Parameter Domain for 3D Face Reconstruction From Limited Number of Wild Images

Peng

Tang³

et al. 2021

Front. Neurorobot.

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A number of methods have been proposed for face reconstruction from single/multiple image(s). However, it is still a challenge to do reconstruction for limited number of wild images, in which there exists complex different imaging conditions, various face appearance, and limited number of high-quality images. And most current mesh model based methods cannot generate high-quality face model because of the local mapping deviation in geometric optics and distortion error brought by discrete differential operation. In this paper, accurate geometrical consistency modeling on B-spline parameter domain is proposed to reconstruct high-quality face surface from the various images. The modeling is completely consistent with the law of geometric optics, and B-spline reduces the distortion during surface deformation. In our method, 0th- and 1st-order consistency of stereo are formulated based on low-rank texture structures and local normals, respectively, to approach the pinpoint geometric modeling for face reconstruction. A practical solution combining the two consistency as well as an iterative algorithm is proposed to optimize high-detailed B-spline face effectively. Extensive empirical evaluations on synthetic data and unconstrained data are conducted, and the experimental results demonstrate the effectiveness of our method on challenging scenario, e.g., limited number of images with different head poses, illuminations, and expressions.

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Section: Facial Surface Modelingmentioning

confidence: 99%

Geometrical Consistency Modeling on B-Spline Parameter Domain for 3D Face Reconstruction From Limited Number of Wild Images

Peng

Tang³

et al. 2021

Front. Neurorobot.

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“…They later proposed a two-step method that uses quadratic programming to obtain the optimal values of control points and weights; however, this method is not applicable to partially occluded data [33]. Lu et al [38] used an orthogonal perspective to model the same task in NURBS-snake energy minimization. Note that the methods proposed by Saini et al [37] and Lu et al [38] failed to solve the problem of Cai et al [36].…”

Section: Introductionmentioning

confidence: 99%

“…Lu et al [38] used an orthogonal perspective to model the same task in NURBS-snake energy minimization. Note that the methods proposed by Saini et al [37] and Lu et al [38] failed to solve the problem of Cai et al [36]. Alazzam and Alomar [39] proposed an average uniform algorithm curve optimization method, which generates random optimal solutions using a uniform distribution and then averages the optimal solutions to obtain the optimal value of the objective function.…”

Section: Introductionmentioning

confidence: 99%

Fast Reconstruction Model of the Ship Hull NURBS Surface with Uniform Continuity for Calculating the Hydrostatic Elements

Zhu,

Shi,

Liu

et al. 2023

JMSE

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The fast reconstruction of the ship hull nonuniform rational B-spline (NURBS) surface with uniform continuity is essential for calculating hydrostatic elements such as waterplane area and molded volume in real time. Thus, this study proposes a fast reconstruction model with uniform continuity to solve the problem of uniform continuity and splicing in the separate model of hull bow and stern surfaces. The proposed model includes the NURBS curve generation (UCG) algorithm with uniform continuity and the hybrid NURBS surface generation (HSG) algorithm. The UCG algorithm initially fits the feature points using the global interpolation algorithm and then precisely constructs straight-line segments in the curve using the improved flattening algorithm. In comparison, the HSG algorithm adaptively selects the surface knot vectors according to the parameters of the section curves. In this study, the profile of discontinuous compartments is uniformly expressed, effectively avoiding various articulation problems in separation modeling. The results of comparative experiments show that the NURBS surface generated using the HSG algorithm can accurately express the characteristics of various parts of the hull with uniform continuity, and the calculation speed of the proposed model can be increased by up to 8.314% compared with the existing best-performing algorithms. Thus, the proposed model is effective and can improve computational efficiency to a certain extent. The NURBS surfaces generated by the proposed model can be further applied to calculating the hydrostatic elements of hulls and compartments.

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“…But the proposed method was not applicable in case of partially occluded data. Lu et al [13] used orthog-onal perspective views to model the same task in the form of NURBS-snake energy minimization but the same problem was not dealt in their approach also.…”

Section: Introductionmentioning

confidence: 99%

Two view NURBS reconstruction based on GACO model

Saini

Kumar

Singh

et al. 2021

Complex Intell. Syst.

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The key job here in the presented work is to investigate the performance of Generalized Ant Colony Optimizer (GACO) model in order to evolve the shape of three dimensional free-form Non Uniform Rational B-Spline (NURBS) curve using stereo (two) views. GACO model is a blend of two well known meta-heuristic optimization algorithms known as Simple Ant Colony and Global Ant Colony Optimization algorithms. Basically, the work talks about the solution of NURBS-fitting based reconstruction process. Therefore, GACO model is used to optimize the NURBS parameters (control points and weights) by minimizing the weighted least-square errors between the data points and the fitted NURBS curve. The algorithm is applied by first assuming some pre-fixed values of NURBS parameters. The experiments clearly show that the optimization procedure is a better option in a case where good initial locations of parameters are selected. A detailed experimental analysis is given in support of our algorithm. The implemented error analysis shows that the proposed methodology perform better as compared to the conventional methods.

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3D B-spline curve construction from orthogonal views with self-overlapping projection segments

Cited by 6 publications

References 12 publications

Geometrical Consistency Modeling on B-Spline Parameter Domain for 3D Face Reconstruction From Limited Number of Wild Images

Geometrical Consistency Modeling on B-Spline Parameter Domain for 3D Face Reconstruction From Limited Number of Wild Images

Fast Reconstruction Model of the Ship Hull NURBS Surface with Uniform Continuity for Calculating the Hydrostatic Elements

Two view NURBS reconstruction based on GACO model

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