DRAWING OF SOLID REGULAR POLYGONAL SECTION SHAPES

Blending Multiple Polygonal Shapes

Shape blending has several applications in computer graphics. In this paper, we present a new method for smoothly blending among multiple polygonal shapes. The blended shape is computed as a weighted average of the input shapes. The weight of each input shape is allowed to vary across the shape. This feature increases the flexibility for controlling the local appearance of the blended shapes. O...

Correspondence of 3D polygonal shapes

Motivation: If two objects can be set in correspondence, then a class of objects can be modeled in the following way. First all objects are set in correspondence, one by one, with an base object. These correspondences represent warpings of one object to other objects in the same class of instances. When these warpings are combined in a linear network as described in [5], we have then created a ...

Simplifying Polygonal Approximation of 2D Shapes

Simplifying Polygonal Approximation of 2D Shapes

Shape Approximation requires simplifying a polygonalization of a smooth shape S with another polygonalization that has fewer number of vertices. The computed polygonalization should be homeomorphic to S and geometrically close to it. We present an algorithm that can provably simplify the initial polygonalization when the sampling density is high enough with respect to the feature size of the bo...

Blending Polygonal Shapes with Diierent Topologies 1

In this paper we propose a new method for morphing between two polygonal, possibly non-simply-connected, shapes in the plane. The method is based on reconstructing an xy-monotone surface whose extreme cross-sections coincide with the given shapes. The surface generated by our algorithm does not contain any self-intersections, does not change the topologies of the input slices, does not contain ...