We present a method based on a 3D model converter to simulate the development of virtual plant. The converter is mainly used to import the plant organs which have fine details into the virtual plant development system, then communicating with the L-system to implement the simulation of the development of plants controlled by the physiology of plant. It improves the virtual effect that carried o...

The complex organic forms we find in nature are typically difficult to geometrically model using traditional 3D modelling tools. This is because they often have complex surfaces and large number of components, which are tedious to create when manipulating the geometric model directly. One approach to this problem is to generate the geometry through simulation. The Simplicial Developmental Syste...

Bichain graphs form a bipartite analog of split permutation graphs, also known as split graphs of Dilworth number 2. Unlike graphs of Dilworth number 1 that enjoy many nice properties, split permutation graphs are substantially more complex. To better understand the global structure of split permutation graphs, in the present paper we study their bipartite analog. We show that bichain graphs ad...

While the concept of similarity is well grounded in psychology, text similarity is less well-defined. Thus, we analyze text similarity with respect to its definition and the datasets used for evaluation. We formalize text similarity based on the geometric model of conceptual spaces along three dimensions inherent to texts: structure, style, and content. We empirically ground these dimensions in...

The objective of this paper is to present a significant improvement to the approach of Duncan et al. [1, 8] to analyze the deformations of curves in sequences of 2D images. This approach is based on the paradigm that high curvature points usually possess an anatomical meaning, and are therefore good landmarks to guide the matching process, especially in the absence of a reliable physical or def...

This is a tutorial on some aspects of toric varieties related to their potential use in geometric modeling. We discuss projective toric varieties and their ideals, as well as real toric varieties and the moment map. In particular, we explain the relation between linear precision and the moment map.

In this paper, a geometric model is introduced for Neutrosophic data problem for the first time. This model is based on neutrosophic sets and neutrosophic relations. Neutrosophic control points are defined according to these points, resulting in neutrosophic Bézier curves.

In this paper several similarity measures of fuzzy soft sets are introduced. The measures are examined based on the geometric model, the set-theoretic approach and the matching function. A comparative study of these measures is done.

Change your habit to hang or waste the time to only chat with your friends. It is done by your everyday, don't you feel bored? Now, we will show you the new habit that, actually it's a very old habit to do that can make your life more qualified. When feeling bored of always chatting with your friends all free time, you can find the book enPDF geometric modeling with splines an introduction and ...

We construct a geometric model for the mapping class group M(S) of a non-exceptional oriented surface S of genus g with m punctures and use it to show that the action of M(S) on the compact Hausdorff space of complete geodesic laminations for S is topologically amenable. As a consequence, the Novikov higher signature conjecture holds for every subgroup of