So the equivalence conditions of two splanar Bezier curves are expressed.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper it is studied that the equivalence conditions of two systems consisted of vectors according to the group G=S(2) of similarity transformations in R2 in terms of the generator invariants of the field G-invariant rational functions R(x1,x2,…,xk)S(2).
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Key Findings & Data:In this paper it is studied that the equivalence conditions of two systems consisted of vectors according to the group G=S(2) of similarity transformations in R2 in terms of the generator invariants of the field G-invariant rational functions R(x1,x2,…,xk)S(2).
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Conclusion & Impact:So the equivalence conditions of two splanar Bezier curves are expressed.
In this paper it is studied that the equivalence conditions of two systems consisted of vectors according to the group G=S(2) of similarity transformations in R2 in terms of the generator invariants of the field G-invariant rational functions R(x1,x2,…,xk)S(2). So the equivalence conditions of two splanar Bezier curves are expressed.
Özet
Bu çalışmada R2 de vektörlerden oluşan iki sistemin, yine R2 de tüm benzerlik dönüşümlerinin grubu olan G=S(2) grubuna göre denklik şartlarının; bu vektörlerin G-invaryant rasyonel fonksiyonlar cismi olan R(x1,x2,…,xk)S(2) cisminin üreteçleri cinsinden ifade edilmesi çalışılmıştır. Böylece R2 de verilen düzlemsel Bezier eğrilerinin S(2) grubuna göre denklik şartları da ifade edilmiştir.
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