6533b85bfe1ef96bd12ba922

RESEARCH PRODUCT

Bézier surfaces of minimal area

C. CosínJuan Monterde

subject

Surface (mathematics)Computer Science::GraphicsMinimal surfaceNet (polyhedron)Bézier curveGeometryAffine transformationMathematics

description

There are minimal surfaces admitting a Bezier form. We study the properties that the associated net of control points must satisfy. We show that in the bicubical case all minimal surfaces are, up to an affine transformation, pieces of the Enneper's surface.

yearjournalcountryeditionlanguage
2002-01-01
https://doi.org/10.1007/3-540-46080-2_8