Provide an appropriate response.
-If 2 Bézier curves are joined at the point $\mathbf { p } _ { 3 }$ what is necessary for $\mathrm { G } ^ { 1 }$ geometric continuity?
A) Both tangent vectors at $p _ { 3 }$ need to be equal.
B) Both tangent vectors at $\mathbf { p } _ { 3 }$ need to point in the same direction.
C) The second derivative at $\mathbf { p } _ { 3 }$ needs to equal 0 .
D) $\mathbf { p } _ { 3 }$ just needs to be a control point for both curves.

Question

Quizplus · Accepted Answer

For $G^1$ geometric continuity, the tangent vectors at the joining point of two Bézier curves must point in the same direction, but they do not need to be of equal magnitude. This ensures a smooth transition between the curves without a visible corner.

Provide an Appropriate Response p3\mathbf { p } _ { 3 }p3​

Provide an Appropriate Response $\mathbf { p } _ { 3 }$