In this paper we study Weingarten surfaces and explore their potential for fabrication-aware
design in freeform architecture. Weingarten surfaces are characterized by a functional …

In this paper, we investigate the properties of timelike and spacelike shifted-knots Bézier
surfaces in Minkowski space-E 1 3. These surfaces are commonly used in mathematical …

Diagonal curve is one of the most important shape measurements of tensor-product Bézier
surfaces. An approach to construct Bézier surfaces with energy-minimizing diagonal curves …

Numerical approximation of minimal surface is an important problem in form-finding of
structural membranes. In this paper, we present a novel approach to construct minimal …

The Plateau‐Bézier problem with shifted knots is to find the surface of minimal area amongst
all the Bézier surfaces with shifted knots spanned by the admitted boundary. Instead of …

Geodesic is an important curve in practical application, especially in shoe design and
garment design. In practical applications, we not only hope the shoe and garment surfaces …

Surface development is used in many manufacturing planning operations, eg, for garments,
ships and automobiles. However, most freeform surfaces used in design are not …

In this paper we present an algorithm to reduce the area of a surface spanned by a finite
number of boundary curves by initiating a variational improvement in the surface. The ansatz …

Toric Bezier patches generalize the classical tensor-product triangular and rectangular
Bezier surfaces, extensively used in CAGD. The construction of toric Bezier surfaces …

如何实现极小曲面的快速三维建模, 是几何设计与计算领域中的难点和热点问题.
给定一条封闭的边界离散折线, 研究如何构造以其为边界的四边网格离散极小曲面 …