Natural Transitions

Utilizing points of maximum curvature for key shape transitions results in the formation of more natural figures.

Bi-Arcs

Bi-Arcs are defined by a starting point, a starting vector, and an ending point and ending vector. To create figures with flat tops, we aim the starting vectors from the maximum curvature points upward toward the raised centroid (puff point), while setting the ending vectors to remain strictly planar.

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Patch Surface

This surface is formed by fitting a Patch surface over the bi-arc points and the base curve. Technically, this results in a trimmed surface whose control points extend beyond the original boundary curve.

Network Surface

For this geometry, points are created on the bi-arcs. This point matrix is inverted and interpolated to form the V curves. The original Bi-Arcs serves as the U curves.