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005 20231030041300.0
035 _a(RuTPU)RU\TPU\network\20005
035 _aRU\TPU\network\20002
090 _a654410
100 _a20170426a2017 k y0engy50 ba
101 0 _aeng
105 _ay z 100zy
135 _adrgn ---uucaa
181 0 _ai
182 0 _ab
200 1 _aOn automatic tuning of basis functions in Bezier method
_fV. I. Reizlin (Reyzlin) [et al.]
203 _aText
_celectronic
300 _aTitle screen
320 _a[References: 16 tit.]
330 _aA transition from the fixed basis in Bezier's method to some class of base functions is proposed. A parameter vector of a basis function is introduced as additional information. This achieves a more universal form of presentation and analytical description of geometric objects as compared to the non-uniform rational B-splines (NURBS). This enables control of basis function parameters including control points, their weights and node vectors. This approach can be useful at the final stage of constructing and especially local modification of compound curves and surfaces with required differential and shape properties; it also simplifies solution of geometric problems. In particular, a simple elimination of discontinuities along local spline curves due to automatic tuning of basis functions is demonstrated.
461 0 _0(RuTPU)RU\TPU\network\3526
_tJournal of Physics: Conference Series
463 0 _0(RuTPU)RU\TPU\network\19875
_tVol. 803 : Information Technologies in Business and Industry (ITBI2016)
_oInternational Conference, 21–26 September 2016, Tomsk, Russian Federation
_o[proceedings]
_fNational Research Tomsk Polytechnic University (TPU) ; eds. N. V. Martyushev ; V. S. Avramchuk ; V. A. Faerman
_v[012126, 7 p.]
_d2017
610 1 _aэлектронный ресурс
610 1 _aтруды учёных ТПУ
610 1 _aавтоматическая настройка
610 1 _aбазисные функции
610 1 _aгеометрические объекты
610 1 _aсплайны
610 1 _aкривые Безье
701 1 _aReizlin (Reyzlin)
_bV. I.
_cSpecialist in the field of automatic control
_cAssociate Professor of Tomsk Polytechnic University, Candidate of physico-mathematical sciences
_f1948-
_gValery Izrailevich
_2stltpush
_3(RuTPU)RU\TPU\pers\33686
701 1 _aDemin
_bA. Yu.
_cspecialist in the field of Informatics and computer engineering
_cAssociate Professor of Tomsk Polytechnic University, candidate of technical sciences
_f1973-
_gAnton Yurievich
_2stltpush
_3(RuTPU)RU\TPU\pers\33696
701 1 _aRybushkina
_bS. V.
_clinguist
_cLeading expert of Tomsk Polytechnic University, Lecturer
_f1978-
_gSvetlana Vladimirovna
_2stltpush
_3(RuTPU)RU\TPU\pers\33436
701 1 _aSultanguzin
_bM. F.
712 0 2 _aНациональный исследовательский Томский политехнический университет (ТПУ)
_bИнститут кибернетики (ИК)
_bКафедра иностранных языков института кибернетики (ИЯИК)
_h6714
_2stltpush
_3(RuTPU)RU\TPU\col\18707
712 0 2 _aНациональный исследовательский Томский политехнический университет (ТПУ)
_bИнститут кибернетики (ИК)
_2stltpush
_3(RuTPU)RU\TPU\col\18397
801 2 _aRU
_b63413507
_c20170428
_gRCR
856 4 _uhttp://dx.doi.org/10.1088/1742-6596/803/1/012126
856 4 _uhttp://earchive.tpu.ru/handle/11683/38181
942 _cCF