scholarly journals A second-order accurate method for solving the signed distance function equation

2010 ◽  
Vol 5 (1) ◽  
pp. 81-97 ◽  
Author(s):  
Peter Schwartz ◽  
Phillip Colella
Keyword(s):  
Distance Function ◽  
Accurate Method ◽  
Second Order ◽  
Signed Distance Function ◽  
Signed Distance

A novel curvature-based method for analyzing the second-order immobility of frictionless grasp

Robotica ◽  
2011 ◽  
Vol 30 (4) ◽  
pp. 613-625 ◽  
Author(s):  
Chen Luo ◽  
LiMin Zhu ◽  
Han Ding
Keyword(s):  
Distance Function ◽  
Taylor Expansion ◽  
Second Order ◽  
Nonlinear Programming Problem ◽  
Signed Distance Function ◽  
Numerical Examples ◽  
Signed Distance ◽  
Differential Motion ◽  
Negative Condition ◽  
Differential Properties

SUMMARYThis paper presents a new method to analyze frictionless grasp immobility based on defined surface-to-surface signed distance function. Distance function's differential properties are analyzed and its second-order Taylor expansion with respect to differential motion is deduced. Based on the non-negative condition of the signed distance function, the first- and second-order free motions are defined and the corresponding conditions for immobility of frictionless grasp are derived. As one benefit of the proposed method, the second-order immobility check can be formulated as a nonlinear programming problem. Numerical examples are used to verify the proposed method.

Registration and integration of multiple depth images using signed distance function

2012 ◽  
Author(s):  
Daniel B. Kubacki ◽  
Huy Q. Bui ◽  
S. Derin Babacan ◽  
Minh N. Do
Keyword(s):  
Distance Function ◽  
Signed Distance Function ◽  
Signed Distance ◽  
Depth Images

A Workspace Limit Approach for Teleoperation Based on Signed Distance Function

2021 ◽  
Vol 6 (3) ◽  
pp. 5589-5596
Author(s):  
Gaofeng Li ◽  
Fernando Caponetto ◽  
Edoardo Del Bianco ◽  
Vasiliki Katsageorgiou ◽  
Ioannis Sarakoglou ◽  
...  
Keyword(s):  
Distance Function ◽  
Signed Distance Function ◽  
Signed Distance

Signed Distance Function based Geofencing for UAV Corridor

2022 ◽  
Author(s):  
Aashay A. Bhise ◽  
Stuti Garg ◽  
Ashwini Ratnoo ◽  
Debasish Ghose
Keyword(s):  
Distance Function ◽  
Signed Distance Function ◽  
Signed Distance

scholarly journals A Simple Method for Network Visualization

Mathematics ◽  
2020 ◽  
Vol 8 (6) ◽  
pp. 1020
Author(s):  
Jintae Park ◽  
Sungha Yoon ◽  
Chaeyoung Lee ◽  
Junseok Kim
Keyword(s):  
Distance Function ◽  
Triangular Mesh ◽  
Network Visualization ◽  
Signed Distance Function ◽  
Simple Method ◽  
Mesh Generator ◽  
Signed Distance ◽  
Unstructured Triangular Mesh ◽  
Siam Review

In this article, we present a simple method for network visualization. The proposed method is based on distmesh [P.O. Persson and G. Strang, A simple mesh generator in MATLAB, SIAM Review 46 (2004) pp. 329–345], which is a simple unstructured triangular mesh generator for geometries represented by a signed distance function. We demonstrate a good performance of the proposed algorithm through several network visualization examples.

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