Modelling tree structures using a single polygonal mesh

This paper presents a method to obtain a polygonal mesh representing the ramified structure of a tree. We use a method based on L-systems to model the tree. A refining process is applied once the model of the tree is obtained. Soft transitions are achieved in the areas of the tree where there are divisions. In this way, we avoid the possible superimposition and discontinuity problems in geometry. As a result of this process, a continuous polygonal mesh is obtained. This mesh represents all the branches of the tree, allowing the homogeneous application of textures and algorithms to simplify meshes.

[1]  Przemyslaw Prusinkiewicz,et al.  The Algorithmic Beauty of Plants , 1990, The Virtual Laboratory.

[2]  Ricardo Quirós,et al.  GREEN: A Tool for Modelling Natural Elements , 2000, WSCG.

[3]  Veva Elwell,et al.  Toxicity and Anti-Inflammatory Activity of Phenolic-Rich Extract from Nopalea cochenillifera (Cactaceae): A Preclinical Study on the Prevention of Inflammatory Bowel Diseases , 2023, Plants.

[4]  Marc Jaeger,et al.  Plant models faithful to botanical structure and development , 1988, SIGGRAPH.

[5]  Przemyslaw Prusinkiewicz,et al.  Graphical applications of L-systems , 1986 .

[6]  Peter Oppenheimer,et al.  Real time design and animation of fractal plants and trees , 1986, SIGGRAPH.

[7]  Jules Bloomenthal,et al.  Modeling the mighty maple , 1985, SIGGRAPH.

[8]  Nelson L. Max,et al.  Hierarchical Rendering of Trees from Precomputed Multi-Layer Z-Buffers , 1996, Rendering Techniques.

[9]  A. Lindenmayer Mathematical models for cellular interactions in development. I. Filaments with one-sided inputs. , 1968, Journal of theoretical biology.

[10]  Kenneth R. Sloan,et al.  Surfaces from contours , 1992, TOGS.

[11]  Oliver Deussen,et al.  Interactive Modeling of Plants , 1999, IEEE Computer Graphics and Applications.

[12]  Radomír Mech,et al.  Visual models of plants interacting with their environment , 1996, SIGGRAPH.

[13]  Mark James,et al.  Synthetic topiary , 1994, SIGGRAPH.

[14]  Donald H. House,et al.  Visualizing a Real Forest , 1998, IEEE Computer Graphics and Applications.

[15]  Jason Weber,et al.  Creation and rendering of realistic trees , 1995, SIGGRAPH.

[16]  Ricki Blau,et al.  Approximate and probabilistic algorithms for shading and rendering structured particle systems , 1985, SIGGRAPH.

[17]  Alvy Ray Smith,et al.  Plants, fractals, and formal languages , 1984, SIGGRAPH.