Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  addresses the problem of approximate merging of two adjacent B-spline curves into one B-spline curve. The basic idea of the approach is to find the conditions for precise merging of two B-spline curves, and perturb the control points of the curves by constrained optimization subject to satisfying these conditions. To obtain a merged curve without superfluous knots,  present a new knot adjustment algorithm for adjusting the end k knots of a kth order B-spline curve without changing its shape. The more general problem of merging curves to pass through some target points is also discussed.
['Chiew-Lan Tai', 'Shi-Min Hu', 'Qi-Xing Huang']
I am writing a research paper on a idea Approximate merging of B-spline curves via knot adjustment and constrained optimization
[{"from": "human", "value": "I am writing a research paper on a idea Approximate merging of B-spline curves via knot adjustment and constrained optimization"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  addresses the problem of approximate merging of two adjacent B-spline curves into one B-spline curve. The basic idea of the approach is to find the conditions for precise merging of two B-spline curves, and perturb the control points of the curves by constrained optimization subject to satisfying these conditions. To obtain a merged curve without superfluous knots,  present a new knot adjustment algorithm for adjusting the end k knots of a kth order B-spline curve without changing its shape. The more general problem of merging curves to pass through some target points is also discussed."}]