Title
Variational Tree Synthesis
Abstract
Modelling trees according to desired shapes is important for many applications. Despite numerous methods having been proposed in tree modelling, it is still a non-trivial task and challenging. In this paper, we present a new variational computing approach for generating realistic trees in specific shapes. Instead of directly modelling trees from symbolic rules, we formulate the tree modelling as an optimization process, in which a variational cost function is iteratively minimized. This cost function measures the difference between the guidance shape and the target tree crown. In addition, to faithfully capture the branch structure of trees, several botanical factors, including the minimum total branches volume and spatial branches patterns, are considered in the optimization to guide the tree modelling process. We demonstrate that our approach is applicable to generate trees with different shapes, from interactive design and complex polygonal meshes.
Year
DOI
Venue
2014
10.1111/cgf.12402
Comput. Graph. Forum
Keywords
Field
DocType
mesh generation
Polygon,Polygon mesh,Interactive design,Computer science,Variational model,Theoretical computer science,Mesh generation
Journal
Volume
Issue
ISSN
33
8
0167-7055
Citations 
PageRank 
References 
2
0.37
21
Authors
4
Name
Order
Citations
PageRank
Rui Wang148933.21
Yinhui Yang231.45
Hongxin Zhang320.37
Hujun Bao42801174.65