Template-based surface reconstruction from cross-sections

Holloway, Michelle; Grimm, Cindy; Ju, Tao

doi:10.1016/j.cag.2016.05.012

Cited by 10 publications

(4 citation statements)

References 36 publications

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“…The more mature methods include the triangle method, minimum surface method, shortest diagonal method, implicit function surface method, and slice-seam method. However, these are only used if the number of points m is not too different from the number of points n. When there is a big difference between m and n, the regions of the point set with fewer points correspond to multiple edges on the point set with more points, and the constructed 3D structure becomes rough, and, in some instances, even loses the characteristics of the structure itself [8][9][10][11][12]. Another method is to use the Delaunay irregular triangulation mesh to realize the segmentation and modeling of discrete data points in space [13][14][15].…”

Section: Problems In Current Surface Reconstruction Technologiesmentioning

confidence: 99%

Method of Real-Time Wellbore Surface Reconstruction Based on Spiral Contour

Wang

2021

Energies

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A wellbore surface is an irregular surface structure. The distribution of points on the wellbore surface measured based on the drilling diameter is not uniform. Thus, the conventional modeling method based on a point cloud cannot satisfy the needs of real-time measurement updating and wellbore display. This study proposes a spiral profile method for drilling shaft surface reconstruction. Scattered data along the drilling diameter are measured, and an inverse distance weighting cylindrical space surface algorithm with iterative interpolation is used to obtain the spiral angle and pitch of a relatively homogeneous helical contour line along the surface of the shaft. Using sets of four adjacent points in the spiral, quadrilaterals are formed, and then all obtained quadrilaterals are used to form the wellbore inner surface structure. This method can further construct the outer surface spiral contour line to advance the quadrilateral surface to the spatial hexahedron structure. The caliper and gamma measurement data obtained from the calibrated wellbore were used to verify the real-time surface reconstruction and fusion while drilling. The homogenized reconstructed surface profile is more than 99.5% similar to the actual measurement. Proved by experiment and application, this method has very high real-time performance, and the three-dimensional stereo imaging wellbore with additional gamma attributes has good visual effects.

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Section: Problems In Current Surface Reconstruction Technologiesmentioning

confidence: 99%

Method of Real-Time Wellbore Surface Reconstruction Based on Spiral Contour

Wang

2021

Energies

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“…How to provide topological control during surface reconstruction from an input set of planar cross-sections was investigated in [16]. A template model was used to better capture geometric features and deformed to fit a set of cross section curves in [17]. A globally consistent signed distance function was used in [18] to construct closed and smooth 3D surfaces from unorganized planar cross sections.…”

Section: Related Workmentioning

confidence: 99%

Composite Generalized Elliptic Curve-Based Surface Reconstruction

Chaudhry

Yang

et al. 2021

Computational Science – ICCS 2021

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Cross-section curves play an important role in many fields. Analytically representing cross-section curves can greatly reduce design variables and related storage costs and facilitate other applications. In this paper, we propose composite generalized elliptic curves to approximate open and closed cross-section curves, present their mathematical expressions, and derive the mathematical equations of surface reconstruction from composite generalized elliptic curves. The examples given in this paper demonstrate the effectiveness and high accuracy of the proposed method. Due to the analytical nature of composite generalized elliptic curves and the surfaces reconstructed from them, the proposed method can reduce design variables and storage requirements and facilitate other applications such as level of detail.

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“…Zou et al [22]), templatebased constraints (e.g. Holloway et al [27]), constraint points (e.g. RBF-based method) and constraint normals (e.g.…”

Section: A Related Workmentioning

confidence: 99%

Extended Hermite Radial Basis Functions for Sparse Contours Interpolation

Zhong

Wang

2020

IEEE Access

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In this paper, we present an extended Hermite radial basis functions interpolant for surface reconstruction of sparse contours that allows for shape control with interactive constraints. Similar to the differential operator, the difference operator is used to construct gradient constraint and tangent constraint. Based on the theory of Hermite-Birkhoff interpolation, to construct more flexible geometry constraints, we incorporate the differential operator and difference operator to construct interpolation conditions in the interpolant. We construct some constraint rules to control the local trend of shape interactively. It is useful when the method interpolates sparse data that satisfies all the constraints but exhibits an undesirable trend of shape. For example, the interactive constraints can be used to fix holes or intersections for geometrically valid meshes. Regarding the geometry domain as a signed distance field of implicit function, we implement a constraint-based approach to interpolate the contours using the interpolant. The improved method can flexibly handle both parallel and non-parallel sparse contours. The numerical results of real geological and medical data show the robustness and performance of the extended Hermite radial basis functions interpolant. INDEX TERMS Hermite radial basis functions, radial basis functions, contours interpolation, signed distance field, geometry constraints.

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Template-based surface reconstruction from cross-sections

Cited by 10 publications

References 36 publications

Method of Real-Time Wellbore Surface Reconstruction Based on Spiral Contour

Method of Real-Time Wellbore Surface Reconstruction Based on Spiral Contour

Composite Generalized Elliptic Curve-Based Surface Reconstruction

Extended Hermite Radial Basis Functions for Sparse Contours Interpolation

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