Topologically robust B-spline surface reconstruction from point clouds using level set methods and iterative geometric fitting algorithms

Yoshihara, Hiroki; Yoshii, Tatsuya; Shibutani, Tadahiro; Maekawa, Takashi

doi:10.1016/j.cagd.2012.03.007

Cited by 21 publications

(6 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Sethian [18,19] developed the fast marching method (FMM) 3) is then discretized on the basis of the upwind scheme. FMM systematically constructs the solution d using only upwind values, that is, from smaller to larger values of d. Initially, the front starts from the bricks that contain boundary and merges with other bricks to form iso-distance contours [20]. Fig.…”

Section: Distance Functional E Dmentioning

confidence: 99%

Automatic generation of LEGO building instructions from multiple photographic images of real objects

Kozaki

Tedenuma

Maekawa

2016

Computer-Aided Design

Self Cite

View full text Add to dashboard Cite

Section: Distance Functional E Dmentioning

confidence: 99%

Automatic generation of LEGO building instructions from multiple photographic images of real objects

Kozaki

Tedenuma

Maekawa

2016

Computer-Aided Design

Self Cite

View full text Add to dashboard Cite

“…Their B-spline algorithm is robust against outliers when determining the knot vector of B-spline with a mixture of Monte-Carlo methods and an evolutionary algorithm. Researchers in [15] present a B-spline-based procedure to construct a topological surface model from a point set. This reconstruction method shows obvious effectiveness in complex models with corner structures.…”

Section: Geometric Model Generation Technologiesmentioning

confidence: 99%

Finite Element Analysis based on A Parametric Model by Approximating Point Clouds

Neumann

2020

Remote Sensing

View full text Add to dashboard Cite

Simplified models are widely applied in finite element computations regarding mechanical and structural problems. However, the simplified model sometimes causes many deviations in the finite element analysis (FEA) of structures, especially in the non-designed structures which have undergone unknowable deformation features. Hence, a novel FEA methodology based on the parametric model by approximating three-dimensional (3D) feature data is proposed to solve this problem in the present manuscript. Many significant and effective technologies have been developed to detect 3D feature information accurately, e.g., terrestrial laser scanning (TLS), digital photogrammetry, and radar technology. In this manuscript, the parametric FEA model combines 3D point clouds from TLS and the parametric surface approximation method to generate 3D surfaces and models accurately. TLS is a popular measurement method for reliable 3D point clouds acquisition and monitoring deformations of structures with high accuracy and precision. The B-spline method is applied to approximate the measured point clouds data automatically and generate a parametric description of the structure accurately. The final target is to reduce the effects of the model description and deviations of the FEA. Both static and dynamic computations regarding a composite structure are carried out by comparing the parametric and general simplified models. The comparison of the deformation and equivalent stress of future behaviors are reflected by different models. Results indicate that the parametric model based on the TLS data is superior in the finite element computation. Therefore, it is of great significance to apply the parametric model in the FEA to compute and predict the future behavior of the structures with unknowable deformations in engineering accurately.

show abstract

“…It was proved that the GIF method is convergent for Bspline fitting [23,24], NURBS fitting [25], T-spline fitting [26], subdivision surface fitting [27][28][29], as well as curve and surface fitting with totally positive basis [22]. Moreover, the GIF meth-ods have been employed in some applications such as reverse engineering [30,31], curve design [32], surface-surface intersection [33], etc. In Ref.…”

Section: Related Workmentioning

confidence: 99%

Trivariate B-spline solid construction by pillow operation and geometric iterative fitting

Lin

2018

Sci. China Inf. Sci.

View full text Add to dashboard Cite

The advent of isogeometric analysis has prompted a need for methods to generate Trivariate B-spline Solids (TBS) with positive Jacobian. However, it is difficult to guarantee a positive Jacobian of a TBS since the geometric pre-condition for ensuring the positive Jacobian is very complicated. In this paper, we propose a method for generating TBSs with guaranteed positive Jacobian. For the study, we used a tetrahedral (tet) mesh model and segmented it into sub-volumes using the pillow operation. Then, to reduce the difficulty in ensuring a positive Jacobian, we separately fitted the boundary curves and surfaces and the sub-volumes using a geometric iterative fitting algorithm . Finally, the smoothness between adjacent TBSs is improved. The experimental examples presented in this paper demonstrate the effectiveness and efficiency of the developed algorithm.

show abstract

Topologically robust B-spline surface reconstruction from point clouds using level set methods and iterative geometric fitting algorithms

Cited by 21 publications

References 20 publications

Automatic generation of LEGO building instructions from multiple photographic images of real objects

Automatic generation of LEGO building instructions from multiple photographic images of real objects

Finite Element Analysis based on A Parametric Model by Approximating Point Clouds

Trivariate B-spline solid construction by pillow operation and geometric iterative fitting

Contact Info

Product

Resources

About