Adaptive state updating particle filter tracking algorithm based on cubic spline interpolation

Zhou, Yang; Mu, Fang-Fang; Hu, Jingjing

doi:10.1109/eiecs53707.2021.9588085

“…A fast and robust method to estimate the ground surface from LiDAR (light detection and ranging) measurements on an automated vehicle, where the ground surface was modeled as a uniform B-spline, was proposed in [16] Neural splines for 3d surface reconstruction that is based on random feature kernels arising from ReLU (rectified linear unit) networks was presented in [17]. An adaptive state estimation method by using cubic spline interpolation for particle filter tracking was presented in [18]. A rational bi-quartic spline interpolation scheme was constructed in [8] and used for image enlargement.…”

Section: Introductionmentioning

confidence: 99%

Parametric Cubic Spline Interpolating Surfaces for Arbitrary Polygonal Meshes

Lian¹

2022

Preprint

0

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<p>An innovative and efficient algorithm was established for generating a G1 parametric bicubic spline interpolation surface (PACSIS) for any polygonal mesh. The resulting G1 surface interpolates all vertices of the quads; and the G1 smoothness was guaranteed by the special creation of new control points for each quad so that all tangent planes at any vertex match. The algorithm was demonstrated by a variety of PLY files representing different polygonal meshes. There will be more applications of PACSIS to areas such as signal and image processing, animation, data science, feature representation, mesh rendering, visualization, as well as computer graphics. </p>

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“…A fast and robust method to estimate the ground surface from LiDAR (light detection and ranging) measurements on an automated vehicle, where the ground surface was modeled as a uniform B-spline, was proposed in [16] Neural splines for 3d surface reconstruction that is based on random feature kernels arising from ReLU (rectified linear unit) networks was presented in [17]. An adaptive state estimation method by using cubic spline interpolation for particle filter tracking was presented in [18]. A rational bi-quartic spline interpolation scheme was constructed in [8] and used for image enlargement.…”

Section: Introductionmentioning

confidence: 99%

Parametric Cubic Spline Interpolating Surfaces for Arbitrary Polygonal Meshes

Lian

¹

2022

2022 International Conference on Cyber-Physical Social Intelligence (ICCSI)

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A fast algorithm for generating first order geometrically differentiable surfaces for arbitrary polygonal meshes by using parametric bicubic spline interpolation is established. It can be applied to any polygonal mesh as a quadrilateralization preprocessing can be performed if not all polygons of the given polygonal mesh are quadrilaterals. If needed, the resulting first order geometrically differentiable surface can create and provide point clouds with any desirable density based on available polygonal meshes. Various examples are demonstrated.

show abstract

Parametric Cubic Spline Interpolating Surfaces for Arbitrary Polygonal Meshes

Lian¹

2022

Preprint

0

View full text Add to dashboard Cite

<p>An innovative and efficient algorithm was established for generating a G1 parametric bicubic spline interpolation surface (PACSIS) for any polygonal mesh. The resulting G1 surface interpolates all vertices of the quads; and the G1 smoothness was guaranteed by the special creation of new control points for each quad so that all tangent planes at any vertex match. The algorithm was demonstrated by a variety of PLY files representing different polygonal meshes. There will be more applications of PACSIS to areas such as signal and image processing, animation, data science, feature representation, mesh rendering, visualization, as well as computer graphics. </p>

show abstract

Adaptive state updating particle filter tracking algorithm based on cubic spline interpolation

Cited by 3 publications

References 7 publications

Parametric Cubic Spline Interpolating Surfaces for Arbitrary Polygonal Meshes

Parametric Cubic Spline Interpolating Surfaces for Arbitrary Polygonal Meshes

Parametric Cubic Spline Interpolating Surfaces for Arbitrary Polygonal Meshes

Parametric Cubic Spline Interpolating Surfaces for Arbitrary Polygonal Meshes

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