A high-precision 3D geological surface modeling method based on discrete smooth interpolation

Flexure hinges, which serve as the crucial joints in a large number of compliant mechanisms, have been widely applied in a variety of significant fields where there is high demand for the micro/nano motions with high resolution and high precision. Currently, an increasing number of notched flexure hinges with different structures and performances have been rapidly developed, but the existing performance comparisons on different notched flexure hinges were only conducted on seldom typical structures and are far from the comprehensiveness and fairness due to the different comparative conditions and discrepant evaluating indexes. Therefore, the finite beam-based matrix modeling method and nondimension precision factors will be employed in comprehensive comparing and ranking of 13 types of frequently-used notched flexure hinges in terms of their main compliances, motion accuracies, and stress concentrations, further providing useful practical guidelines to develop the compliant mechanisms with excellent overall performances.

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An improved version of a high accuracy surface modeling method

GEM - International Journal on Geomathematics ◽

10.1007/s13137-013-0051-z ◽

2013 ◽

Vol 4 (2) ◽

pp. 185-200 ◽

Cited By ~ 2

Author(s):

Na Zhao ◽

Tianxiang Yue ◽

Mingwei Zhao

Keyword(s):

High Accuracy ◽

Surface Modeling ◽

Modeling Method

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An Online Gravity Modeling Method Applied for High Precision Free-INS

Sensors ◽

10.3390/s16101541 ◽

2016 ◽

Vol 16 (10) ◽

pp. 1541 ◽

Cited By ~ 12

Author(s):

Jing Wang ◽

Gongliu Yang ◽

Jing Li ◽

Xiao Zhou

Keyword(s):

High Precision ◽

Modeling Method ◽

Gravity Modeling

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Triangular Surface Patch Based on Bivariate Meyer-König-Zeller Operator

Open Mathematics ◽

10.1515/math-2019-0021 ◽

2019 ◽

Vol 17 (1) ◽

pp. 282-296 ◽

Cited By ~ 2

Author(s):

Guorong Zhou ◽

Qing-Bo Cai

Keyword(s):

Convex Hull ◽

Curve Surface ◽

Surface Modeling ◽

Modeling Method ◽

Basis Functions ◽

Surface Patch ◽

Affine Invariance ◽

Triangular Domain ◽

Probability Operators ◽

The Relationship

Abstract Based on the relationship between probability operators and curve/surface modeling, a new kind of surface modeling method is introduced in this paper. According to a kind of bivariate Meyer-König-Zeller operator, we study the corresponding basis functions called triangular Meyer-König-Zeller basis functions which are defined over a triangular domain. The main properties of the basis functions are studied, which guarantee that the basis functions are suitable for surface modeling. Then, the corresponding triangular surface patch called a triangular Meyer-König-Zeller surface patch is constructed. We prove that the new surface patch has the important properties of surface modeling, such as affine invariance, convex hull property and so on. Finally, based on given control vertices, whose number is finite, a truncated triangular Meyer-König-Zeller surface and a redistributed triangular Meyer-König-Zeller surface are constructed and studied.

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