Zobrazeno 1 - 10
of 100
pro vyhledávání: '"Farouki, RT"'
Publikováno v:
Filomat, vol 33, iss 15
The relationships between certain families of special curves, including the general helices, slant helices, rectifying curves, Salkowski curves, spherical curves, and centrodes, are analyzed. First, characterizations of proper slant helices and Salko
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______325::3f361dcbb784ea79e17c654ece35de93
https://escholarship.org/uc/item/5514m80p
https://escholarship.org/uc/item/5514m80p
Autor:
Moon, HP, Farouki, RT
Publikováno v:
Moon, HP; & Farouki, RT. (2018). C1and C2interpolation of orientation data along spatial Pythagorean-hodograph curves using rational adapted spline frames. Computer Aided Geometric Design, 66, 1-15. doi: 10.1016/j.cagd.2018.07.005. UC Davis: Retrieved from: http://www.escholarship.org/uc/item/72p18517
© 2018 The problem of constructing a rational adapted frame (f1(ξ),f2(ξ),f3(ξ)) that interpolates a discrete set of orientations at specified nodes along a given spatial Pythagorean-hodograph (PH) curve r(ξ) is addressed. PH curves are the only
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______325::c9d62cea0a617a98eca5c2867cad882b
http://www.escholarship.org/uc/item/72p18517
http://www.escholarship.org/uc/item/72p18517
Autor:
Farouki, RT
Publikováno v:
Farouki, RT. (2017). Helical polynomial curves interpolating G1data with prescribed axes and pitch angles. Computer Aided Geometric Design, 56, 4-15. doi: 10.1016/j.cagd.2017.05.004. UC Davis: Retrieved from: http://www.escholarship.org/uc/item/25c515xx
© 2017 Elsevier B.V. A helical curve, or curve of constant slope, offers a natural flight path for an aerial vehicle with a limited climb rate to achieve an increase in altitude between prescribed initial and final states. Every polynomial helical c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______325::5640afc99e2694f68857d7c65dd0f25e
http://www.escholarship.org/uc/item/25c515xx
http://www.escholarship.org/uc/item/25c515xx
Autor:
Farouki, RT, Srinathu, J
Publikováno v:
Farouki, RT; & Srinathu, J. (2017). A real-time CNC interpolator algorithm for trimming and filling planar offset curves. CAD Computer Aided Design, 86, 1-11. doi: 10.1016/j.cad.2017.01.001. UC Davis: Retrieved from: http://www.escholarship.org/uc/item/60v7b269
© 2017 Elsevier Ltd Tool paths for CNC machines must be offset from the desired part shape, in order to compensate for the tool radius. To avoid gouging the part geometry and to ensure continuous paths, the offset construction employs trimming and f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::1b896206898500df1b0a6debba9abd6b
https://escholarship.org/uc/item/60v7b269
https://escholarship.org/uc/item/60v7b269
Autor:
Farouki, RT, Linke, BS
Publikováno v:
International Journal of Mechanical Engineering Education, vol 44, iss 4
Farouki, RT; & Linke, BS. (2016). Shigley Hauler-A competitive project illustrating basic machine design principles. International Journal of Mechanical Engineering Education, 44(4), 284-301. doi: 10.1177/0306419016669189. UC Davis: Retrieved from: http://www.escholarship.org/uc/item/7gf6181x
Farouki, RT; & Linke, BS. (2016). Shigley Hauler-A competitive project illustrating basic machine design principles. International Journal of Mechanical Engineering Education, 44(4), 284-301. doi: 10.1177/0306419016669189. UC Davis: Retrieved from: http://www.escholarship.org/uc/item/7gf6181x
© 2016 SAGE Publications. By requiring students to meet demanding functional specifications using limited resources, the competitive Shigley Hauler project offers undergraduate students practical "hands-on" experience in the design, fabrication, and
Externí odkaz:
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https://escholarship.org/uc/item/7gf6181x
https://escholarship.org/uc/item/7gf6181x
Autor:
Farouki, RT
The problem of constructing a plane polynomial curve with given end points and end tangents, and a specified arc length, is addressed. The solution employs planar quintic Pythagorean–hodograph (PH) curves with equal-magnitude end derivatives. By re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::69d27ad1b338b87f900f43d925380b22
https://escholarship.org/uc/item/0nm112xb
https://escholarship.org/uc/item/0nm112xb
Autor:
Farouki, RT
Publikováno v:
Farouki, RT. (2016). Construction of G1planar Hermite interpolants with prescribed arc lengths. Computer Aided Geometric Design, 46, 64-75. doi: 10.1016/j.cagd.2016.05.003. UC Davis: Retrieved from: http://www.escholarship.org/uc/item/0nm112xb
© 2016 Elsevier B.V. The problem of constructing a plane polynomial curve with given end points and end tangents, and a specified arc length, is addressed. The solution employs planar quintic Pythagorean–hodograph (PH) curves with equal-magnitude
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______325::0559444ff2148b04e050f20bb288f685
http://www.escholarship.org/uc/item/0nm112xb
http://www.escholarship.org/uc/item/0nm112xb
Autor:
Farouki, RT, Gutierrez, R
Publikováno v:
Farouki, RT; & Gutierrez, R. (2016). Geometry of the ringed surfaces in R4 that generate spatial Pythagorean hodographs. Journal of Symbolic Computation, 73, 87-103. doi: 10.1016/j.jsc.2015.03.005. UC Davis: Retrieved from: http://www.escholarship.org/uc/item/6ph8s5c3
© 2015 Elsevier Ltd. A Pythagorean-hodograph (PH) curve r(t)=(x(t), y(t), z(t)) has the distinctive property that the components of its derivative r'(t) satisfy x'2(t)+y'2(t)+z'2(t)=σ2(t) for some polynomial σ(t). Consequently, the PH curves admit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::9806ad3743f145f0ab14642fdc85c450
https://escholarship.org/uc/item/6ph8s5c3
https://escholarship.org/uc/item/6ph8s5c3
Autor:
Farouki, RT
Publikováno v:
Farouki, RT. (2016). Rational rotation-minimizing frames-Recent advances and open problems. Applied Mathematics and Computation, 272, 80-91. doi: 10.1016/j.amc.2015.04.122. UC Davis: Retrieved from: http://www.escholarship.org/uc/item/8dk4s1kd
Applied Mathematics and Computation, vol 272, iss P1
Applied Mathematics and Computation, vol 272, iss P1
© 2015 Elsevier Inc. All rights reserved. Recent developments in the basic theory, algorithms, and applications for curves with rational rotation-minimizing frames (RRMF curves) are reviewed, and placed in the context of the current state-of-the-art
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::0fbe507e7087442bffb272c1756efa89
http://www.escholarship.org/uc/item/8dk4s1kd
http://www.escholarship.org/uc/item/8dk4s1kd
Autor:
Farouki, RT
Publikováno v:
Farouki, RT. (2015). Arc lengths of rational Pythagorean-hodograph curves. Computer Aided Geometric Design, 34, 2-4. doi: 10.1016/j.cagd.2015.03.007. UC Davis: Retrieved from: http://www.escholarship.org/uc/item/90s84043
© 2015 Elsevier B.V. In a recent paper (Lee et al., 2014) a family of rational Pythagorean-hodograph (PH) curves is introduced, characterized by constraints on the coefficients of a truncated Laurent series, and used to solve the first-order Hermite
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::6de8da7ab78b77075af2aab8e9cc2525
http://www.escholarship.org/uc/item/90s84043
http://www.escholarship.org/uc/item/90s84043