Modeling And Visualizing 3D Tree Based On Implicit Surfaces

3D tree modeling is a well-studied problem in 3D plant modeling. Generalized cylinders are used to model 3D tree branches in traditional methods, which may lead discontinuities at branch connections. In detail scale, bark textures are mapped on the 3D model to obtain a 3D visusal effect, so real 3D details are not modeled in traditional methods. So it is significant to construct 3D models with continuous branches and realistic details. Previous work demonstrates that it is efficient to construct objects with branch structures using implicit surfaces. In this paper, implicit surfaces are used to model 3D tree surfaces. We also study to represent smooth blending intersected branches, tree ridges, prunes, tree bulges in the real world. Visualizing the 3D tree model is also mentioned.This method combines implicit surfaces based on skeletons and convolution surfaces based on line segment primitives with polynomial density distribution to model tree surfaces. It improved the diversity of tree surfaces. Better blending method is used to remove the bulge emerged in the blending process. Precise Contact Modeling is introduced into convolution surfaces based on line segment primitives with polynomial density distribution to model bark ridges. We also use blending creases to model bark ridges as another method. Tree prune effect is simulated using implicit surface differences. There is analogous construction between convolution surfaces based on line segment primitives with polynomial density distribution and tree bulge surface, therefore we use short line segments to simulate the bulge. Fast tessellation for imlicit surface is used to visualize the model. Experimental results demonstrate that the proposed method can reconstruct various smooth 3D tree branches with local detail features such as branch bark ridges and tree bulges.