[其它] Beady: Interactive Beadwork Design and Construction

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发表于 2012-1-4 17:08:30 |只看该作者 |倒序浏览

1 Introduction

Beadwork is the art of connecting beads together by wires. While

common beadwork is two-dimensional (2D), three-dimensional

(3D) beadwork is also popular in oriental regions such as Japan

and China. However, the design and construction of 3D beadwork

is very difficult. The final shape is defined by the complicated

three-dimensional interaction between beads and wires, thus mak-

ing it very difficult to design manually. One also needs to specify

an appropriate wire path to hold the beads together and to manu-

ally insert the wire into the beads one by one following the path to

construct the beadwork. Careful observation of existing beadwork

structures shows several geometrically interesting problems, which

make beadwork design an interesting technical challenge.

This paper presents an interactive computational system to assist

the design of original beadwork and its construction. Fig. 1 shows

the overall process. The user first creates a polygonal mesh model,

called a design model, which represents the overall structure of the

beadwork (Fig. 1(a)). A bead of the beadwork is represented as

an edge (not a vertex) of the design model. The system then con-

verts the design model into a beadwork model by placing beads on

the edges with the appropriate wiring (Fig. 1(c)). Finally, the user

manually constructs the physical beadwork by following the step-

by-step instruction generated by the system (Fig. 1(e, f)).

The design of a 3D model of a real-world object requires that

certain physical constraints be satisfied. For example, a pa-

per toy model has to be represented as a set of developable

patches. This kind of restriction is often discussed in the de-

sign of architecture consisting of freeform surfaces [Liu et al. 2006;

Schiftner et al. 2009]. Pottmann et al. [2010] called this new re-

search area architectural geometry. Related to this trend, recent

work presented methods to slightly modify the geometry of a polyg-

onal mesh to reduce the number of unique polygons contained in the

original model [Singh and Schaefer 2010; Eigensatz et al. 2010;

Fu et al. 2010].Our work differs in that we support the interactive

design of a model instead of pursuing automatic conversion.

The contributions of this work are summarized as follows. (1) We

present a mesh modeling user interface specialized for beadwork

models by combining gestural operations and physical simulations.

(2) We present an algorithm based on face stripification to com-

pute wire paths for a beadwork model designed by the user. (3) We

present a step-by-step construction guide to assist the user in the

manual construction process. (4)We show the feasibility and effec-

tiveness of our approach by presenting a solid implementation.