# Efficiently updating constrained delaunay triangulations

Essential elements of algorithm design are discussed in detail, together with a unified approach to the design of shock capturing schemes.

Finally, the paper discusses the use of techniques drawn from control theory to determine optimal aerodynamic shapes.

It consists of one or more components, each tangent continuous and free of self-intersections and intersections with other components.

The skin var ..." A new paradigm for designing smooth surfaces is described.

A finitely generated Delone set is one such that the abelian group [X \Gamma X ] generated by X \Gamma X i ..." This paper studies three classes of discrete sets X in R n which have a weak translational order imposed by increasingly strong restrictions on their sets of interpoint vectors X \Gamma X .

A finitely generated Delone set is one such that the abelian group [X \Gamma X ] generated by X \Gamma X is finitely generated, so that [X \Gamma X ] is a lattice or a quasilattice.

The skin varies continuously with the weights and locations of the points, and the variation includes the possibility of a topology change facilitated by the violation of tangent continuity at a single point in space and time.

Applications of the skin to molecular modeling and to geometric deformation are discussed. This dissertation explores some techniques for automatic approximation of geometric objects.

If, in addition, the points are added in a random sequence an ..." A set of n weighted points in general position in Rd defines a unique regular triangulation.

If, in addition, the points are added in a random sequence and the history of the flips is used for locating the next point, then the algorithm takes expected time at most O(n log n n ⌈d/2 ⌉).

It addresses the requirements for effective industrial use, and trade-offs between modeling accuracy and computational costs.

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