Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: The control points have only local control over the shape of the B-Splines. Reason R: Bezier curves do have local control. In the light of the above statements, choose the most appropriate answer from the options given below
Analysis of Assertion and Reason
This question asks to evaluate two statements about control points and their effect on B-Spline and Bezier curves, specifically concerning the property of 'local control'.
Assertion A: B-Spline Local Control
Assertion A states that control points have only local control over the shape of B-Splines.
- Fact: B-Splines are designed such that modifying a single control point only influences a specific, limited segment of the curve. This is known as the local control property.
- Conclusion: Assertion A is correct.
Reason R: Bezier Curve Local Control
Reason R states that Bezier curves do have local control.
- Fact: In Bezier curves, each control point influences the shape of the entire curve. Moving one control point will alter the curve globally, not just locally. Therefore, Bezier curves generally lack the strong local control property found in B-Splines.
- Conclusion: Reason R is incorrect.
Final Conclusion
Based on the analysis:
- Assertion A is correct.
- Reason R is incorrect.
Therefore, the most appropriate answer is that A is correct but R is not correct.
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