Interactive Procedural Modeling of Pebble Mosaics

彬彬

1 Introduction

In computer graphics, with improvement in hardware performance,

more detailed production of three-dimensional (3D) models is re-

quired. However, the modeling process becomes tedious if it is

carried out manually, in particular for natural objects because of

their complexities. Therefore, it is important to generate content

procedurally or automatically in order to efficiently produce such

models. Furthermore, a purely procedural approach prevents the

user from exercising total control over the outcome. The solution

we proposed here is to combine the power of procedural modeling

with the flexibility of manual editing. In this paper, we focus on the

generation of pebble mosaics to achieve the distribution of numer-

ous pebbles while maintaining distribution controllability. Existing

research on rock modeling and digital mosaics has not focused on

user-specified arrangements, whereas in this work, we present an

interactive method for generating pebble mosaics. This is achieved

through designing an underlying tensor field that specifies the pat-

tern of pebble arrangement. The experimental results show that a

realistic visual quality is obtained using our proposed method.

2 Related Work

Miyata et al. proposed a method that packs rectangles into

two-dimensional (2D) specified regions and then creates rock

shapes by subdividing the surface in order to generate a pavement

[Miyata 01]. A method presented by Peytavie et al. [Peytavie 09]

can generate aperiodic rock piles by using tiling, a 3D Voronoi di-

agram, and an erosion simulation. Hausner proposed a method for

simulating decorative tile mosaics using a centroidal Voronoi dia-

gram [Hausner 01]. The method is used to place tiles along a spec-

ified direction field; therefore, the generated mosaic images repre-

sent a fine flow of tiling.

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