scholarly journals Mesh Simplification by Curvature-Enhanced Quadratic Error Metrics

2020 ◽  
Vol 16 (8) ◽  
pp. 1195-1202
Author(s):  
Paolo Pellizzoni ◽  
Gianpaolo Savio
Keyword(s):  
Mesh Simplification ◽  
Quadratic Error ◽  
Error Metrics

scholarly journals Mesh Simplification Algorithm Based on the Quadratic Error Metric and Triangle Collapse

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 196341-196350
Author(s):  
Guangyou Zhou ◽  
Shangda Yuan ◽  
Sumei Luo
Keyword(s):  
Mesh Simplification ◽  
Quadratic Error ◽  
Error Metric

scholarly journals Quadratic Error Metric Mesh Simplification Algorithm Based on Discrete Curvature

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Li Yao ◽  
Shihui Huang ◽  
Hui Xu ◽  
Peilin Li
Keyword(s):  
Computer Graphics ◽  
Mesh Simplification ◽  
Quadratic Error ◽  
Topology Structure ◽  
Discrete Curvature ◽  
And Topology ◽  
Complex Models ◽  
Error Metric ◽  
Polygon Meshes ◽  
Quadric Error Metric

Complex and highly detailed polygon meshes have been adopted for model representation in many areas of computer graphics. Existing works mainly focused on the quadric error metric based complex models approximation, which has not taken the retention of important model details into account. This may lead to visual degeneration. In this paper, we improve Garland and Heckberts’ quadric error metric based algorithm by using the discrete curvature to reserve more features for mesh simplification. Our experiments on various models show that the geometry and topology structure as well as the features of the original models are precisely retained by employing discrete curvature.

Constraint-based point set denoising using normal voting tensor and restricted quadratic error metrics

2018 ◽  
Vol 74 ◽  
pp. 234-243 ◽  
Author(s):  
Sunil Kumar Yadav ◽  
Ulrich Reitebuch ◽  
Martin Skrodzki ◽  
Eric Zimmermann ◽  
Konrad Polthier
Keyword(s):  
Quadratic Error ◽  
Error Metrics ◽  
Point Set

Feature Preserving Mesh Simplification Algorithm Based on Square Volume Measure

2009 ◽  
Vol 32 (2) ◽  
pp. 203-212 ◽  
Author(s):  
Yuan-Feng ZHOU ◽  
Cai-Ming ZHANG ◽  
Ping HE
Keyword(s):  
Mesh Simplification ◽  
Volume Measure ◽  
Feature Preserving

scholarly journals Quadratic Model-Based Dynamically Updated PID Control of CSTR System with Varying Parameters

Algorithms ◽  
2021 ◽  
Vol 14 (2) ◽  
pp. 31
Author(s):  
Dushko Stavrov ◽  
Gorjan Nadzinski ◽  
Stojche Deskovski ◽  
Mile Stankovski
Keyword(s):  
Pid Control ◽  
Pid Controller ◽  
Absolute Error ◽  
Error Model ◽  
Quadratic Model ◽  
Control Performance ◽  
Continuous Stirred Tank Reactor ◽  
Quadratic Error ◽  
Varying Parameters ◽  
Cstr System

In this paper, we discuss an improved version of the conventional PID (Proportional–Integral–Derivative) controller, the Dynamically Updated PID (DUPID) controller. The DUPID is a control solution which preserves the advantages of the PID controller and tends to improve them by introducing a quadratic error model in the PID control structure. The quadratic error model is constructed over a window of past error points. The objective is to use the model to give the conventional PID controller the awareness needed to battle the effects caused by the variation of the parameters. The quality of the predictions that the model is able to deliver depends on the appropriate selection of data used for its construction. In this regard, the paper discusses two algorithms, named 1D (one dimensional) and 2D (two dimensional) DUPID. Appropriate to their names, the former selects data based on one coordinate, whereas the latter selects the data based on two coordinates. Both these versions of the DUPID controller are compared to the conventional PID controller with respect to their capabilities of controlling a Continuous Stirred Tank Reactor (CSTR) system with varying parameters in three different scenarios. As a quantifying measure of the control performance, the integral of absolute error (IAE) metric is used. The results from the performed simulations indicated that the two versions of the DUPID controller improved the control performance of the conventional PID controller in all scenarios.

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