Estimation of differential quantities using Hermite RBF interpolation

Prantl, Martin; Váša, Libor

doi:10.1007/s00371-017-1438-x

Cited by 3 publications

(1 citation statement)

References 24 publications

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“…Goldfeather and Interante [15] developed a more precise and efficient method for approximating the principal direction using a second-order surface-fitting method. Plantl and Váša [22] proposed a method for estimating curvature using the Hermite radial basis function based on the surface-fitting method. Additionally, there has been an increase in research efforts to integrate this differential geometry into various mesh algorithms [23][24][25][26][27].…”

Section: Related Workmentioning

confidence: 99%

Camera Path Generation for Triangular Mesh Using Toroidal Patches

Choi,

Kim,

Kim

et al. 2024

Applied Sciences

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Triangular mesh data structures are principal in computer graphics, serving as the foundation for many 3D models. To effectively utilize these 3D models across diverse industries, it is important to understand the model’s overall shape and geometric features thoroughly. In this work, we introduce a novel method for generating camera paths that emphasize the model’s local geometric characteristics. This method uses a toroidal patch-based spatial data structure, approximating the mesh’s faces within a predetermined tolerance ϵ, encapsulating their geometric intricacies. This facilitates the determination of the camera position and gaze path, ensuring the mesh’s key characteristics are captured. During the path construction, we create a bounding cylinder for the mesh, project the mesh’s faces and associated toroidal patches onto the cylinder’s lateral surface, and sequentially select grids of the cylinder containing the highest number of toroidal patches as we traverse the lateral surface. The centers of the selected grids are used as control points for a periodic B-spline curve, which serves as our foundational path. After initial curve generation, we generated camera position and gaze path from the curve by multiplying factors to ensure a uniform camera amplitude. We applied our method to ten triangular mesh models, demonstrating its effectiveness and adaptability across various mesh configurations.

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Section: Related Workmentioning

confidence: 99%

Camera Path Generation for Triangular Mesh Using Toroidal Patches

Choi,

Kim,

Kim

et al. 2024

Applied Sciences

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A new spatial data structure for triangular mesh with toroidal patches

Kim,

Choi,

Park

2024

Journal of King Saud University - Computer and Information Scie

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Polarimetric Imaging for Robot Perception: A Review

Taglione,

Mateo,

Stolz

2024

Sensors

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In recent years, the integration of polarimetric imaging into robotic perception systems has increased significantly, driven by the accessibility of affordable polarimetric sensors. This technology complements traditional color imaging by capturing and analyzing the polarization characteristics of light. This additional information provides robots with valuable insights into object shape, material composition, and other properties, ultimately enabling more robust manipulation tasks. This review aims to provide a comprehensive analysis of the principles behind polarimetric imaging and its diverse applications within the field of robotic perception. By exploiting the polarization state of light, polarimetric imaging offers promising solutions to three key challenges in robot vision: Surface segmentation; depth estimation through polarization patterns; and 3D reconstruction using polarimetric data. This review emphasizes the practical value of polarimetric imaging in robotics by demonstrating its effectiveness in addressing real-world challenges. We then explore potential applications of this technology not only within the core robotics field but also in related areas. Through a comparative analysis, our goal is to elucidate the strengths and limitations of polarimetric imaging techniques. This analysis will contribute to a deeper understanding of its broad applicability across various domains within and beyond robotics.

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Estimation of differential quantities using Hermite RBF interpolation

Cited by 3 publications

References 24 publications

Camera Path Generation for Triangular Mesh Using Toroidal Patches

Camera Path Generation for Triangular Mesh Using Toroidal Patches

A new spatial data structure for triangular mesh with toroidal patches

Polarimetric Imaging for Robot Perception: A Review

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