offset surface
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Author(s):  
Ann-Christin Woerl ◽  
Elmar Schoemer ◽  
Ulrich Schwanecke

2019 ◽  
Vol 9 (1) ◽  
pp. 404-413
Author(s):  
Edwin Koźniewski ◽  
Anna Borowska

AbstractIn this paper the issue of approximation of the hyperboloid offset surface off(S(t, v); d) at distance d by the hyperboloid surface S1(ϕ, v) is considered. The problem of determining various surfaces approximating the hyperboloid offset surface off (S(t, v); d) is important due to the applications of the hyperboloid as a mathematical model for miscellaneous objects in the architecture and construction industry. The paper presents the method of determining the angles and coordinates of points of various surfaces approximating the hyperboloid of revolution. A two-sheet hyperboloid offset surface can be used for modelling double-layer domes. A one-sheet hyperboloid offset surface was used to model the reinforced structure of the cooling tower.


Author(s):  
Kuo Liu ◽  
Lu Wang ◽  
Tao Dang ◽  
Mengjun Wang ◽  
Hongxing Zheng ◽  
...  

2019 ◽  
Vol 82 ◽  
pp. 84-94 ◽  
Author(s):  
Q Youn Hong ◽  
Youngjin Park ◽  
Myung-Soo Kim ◽  
Gershon Elber
Keyword(s):  

2018 ◽  
Vol 15 (11) ◽  
pp. 1850195
Author(s):  
Fatma Güler ◽  
Ergi̇n Bayram ◽  
Emi̇n Kasap
Keyword(s):  

Let [Formula: see text] be a parameter and an asymptotic curve on a surface [Formula: see text] We obtain conditions for offsets [Formula: see text] of [Formula: see text] such that the image [Formula: see text] of the curve [Formula: see text] is a common asymptotic on each offset. We illustrate the method with an example.


2014 ◽  
Vol 945-949 ◽  
pp. 111-114
Author(s):  
Ying Yue

This paper presents an algorithm for tool path offsetting based on NURBS surface. First the progenitor free surface is fitted with a bi-cubic NURBS surface and the unit normal vectors of the NURBS surface is computed precisely, then the offset surface can be obtained by offsetting the NURBS surface in the normal vector direction with the required distance. Considerable extra computational time can be saved, especially when they are to be offset by several times. As the method successfully computes the unit normal vector of the progenitors, the offset error of this method is zero. The method can also be generalized to other degree NURBS surface, and it can improve the machining accuracy of the surface.


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