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Reconstruction and Representation of Tubular Structures using Simplex Meshes
 In Proc. of Winter School of Computer Graphics (WSCG) (2005
, 2005
"... Modelling and reconstruction of tubular objects is a known problem in computer graphics. For computer aided surgical planning the constructed geometrical models need to be consistent and compact at the same time, which known approaches cannot guarantee. In this paper we present a new method for gene ..."
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Modelling and reconstruction of tubular objects is a known problem in computer graphics. For computer aided surgical planning the constructed geometrical models need to be consistent and compact at the same time, which known approaches cannot guarantee. In this paper we present a new method for generating compact, topologically consistent, 2manifold surfaces of branching tubular objects using a twostage approach. The proposed method is based on connection of polygonal crosssections along the medial axis and subsequent refinement. Higher order furcations can be handled correctly.
Root Architecture Modeling and Visualization in Wheat
"... Abstract. This paper aims to develop a root morphological model in wheat (Triticum aestivum L.), and the realistic visualization of root growth under different soil conditions in wheat. Based on the topology of the wheat root system, historical literature and experimental data, a root morphological ..."
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Abstract. This paper aims to develop a root morphological model in wheat (Triticum aestivum L.), and the realistic visualization of root growth under different soil conditions in wheat. Based on the topology of the wheat root system, historical literature and experimental data, a root morphological model in wheat was developed preliminarily using thermal time as a driving factor, including submodels of root emergence, root growth rate, and root axis curvature. Based on 3D visualization technology, a threedimensional visualization model of the root axis in wheat was developed by using the platform of VC++.net and OpenGL library, including submodels of geometry, texture mapping, and light rendering. Integrated the established root morphological model and the visualization model, the threedimensional visualization of a root system in wheat under different soil conditions was realized. This study lays a foundation for further development of a visualization system for the whole wheat plant.
Modeling Biological Patterns using the Space Colonization Algorithm
, 2008
"... This thesis introduces a class of algorithms for modeling biological patterns with branching (treelike) and network (with loops) topologies. The key idea behind these algorithms is the marking and subsequent colonization of empty space. Models are formulated in terms of iterative geometric operatio ..."
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This thesis introduces a class of algorithms for modeling biological patterns with branching (treelike) and network (with loops) topologies. The key idea behind these algorithms is the marking and subsequent colonization of empty space. Models are formulated in terms of iterative geometric operations on sets of points representing the elements of the pattern and markers of free space. This concept is formalized as the space colonization algorithm. The practical value of this approach is demonstrated by modeling the architecture of trees and vasculature in plants. Trees are modeled using markers of empty space to mediate competition between branches. When vascular patterns are modeled, the markers of empty space represent sources of a vein inducing signal (auxin). Several algorithms are introduced to simulate vein development in a growing leaf blade. Additionally, a model simulating vasculature patterning in the stem is proposed and used to examine the relation between phylotaxis and stem vasculature The applications explored in this thesis demonstrate that a common mechanism,
Constructing a 3D Trunk Model from Two Images
"... Trees stand for a key component in the natural environment, thus modeling realistic trees has received much attentions of researchers in computer graphics. However, most trees in computer graphics are generated according to some procedural rules in conjunction with some random perturbations, thus th ..."
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Trees stand for a key component in the natural environment, thus modeling realistic trees has received much attentions of researchers in computer graphics. However, most trees in computer graphics are generated according to some procedural rules in conjunction with some random perturbations, thus they are generally different from the real trees in the natural environment. In this paper, we propose a systematic approach to create a 3D trunk graphical model from two images so that the created trunk has a similar 3D trunk structure to the real one. In the proposed system, the trunk is first segmented from the image via an interactive segmentation tool and its skeleton is then extracted. Some points on the skeleton are selected and their context relations are established for representing the 2D trunk structure. A camera selfcalibration algorithm appropriate for the twoview case is developed, and a minimum curvature constraint is employed to recover the 3D trunk skeleton from the established 2D trunk structure and the calibrated camera. The trunk is then modeled by a set of generalized cylinders around the recovered 3D trunk skeleton. A polygonal mesh representing the trunk is finally generated and a textured 3D trunk model is also produced by mapping the image onto the surface of the 3D trunk model. We have conducted some experiments and the results demonstrated that the proposed system can actually yield a visually plausible 3D trunk model which is similar to the real one in the image. Key words: tree, tree rendering, tree modeling, 3D trunk model, minimum curvature constraint, camera selfcalibration 1
SimplexMesh based Surface Reconstruction and Representation of Tubular Structures
"... Abstract. Modelling and reconstruction of tubular objects from graph representations is frequently needed in medical visualization. The constructed geometrical models need to be consistent and compact at the same time for interactive applications. In this paper we present a new method for generating ..."
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Abstract. Modelling and reconstruction of tubular objects from graph representations is frequently needed in medical visualization. The constructed geometrical models need to be consistent and compact at the same time for interactive applications. In this paper we present a new method for generating compact topologically consistent 2manifold surfaces of branching tubular objects. The proposed twostage approach based on deformable simplexmeshes can handle higher order furcations. 1