Call for Papers on Special Issue “Generalized Barycentric Coordinates”
摘要截稿:
全文截稿: 2019-03-15
影响因子: 1.23
期刊难度:
CCF分类: B类
中科院JCR分区:
• 大类 : 计算机科学 - 4区
• 小类 : 计算机:软件工程 - 3区
• 小类 : 应用数学 - 4区
Overview
Theme
Interpolating discrete data with continuous functions in one or more variables is a fundamental problem in diverse fields of science and engineering. Barycentric coordinates, which were introduced by Möbius in 1827, provide a convenient way to linearly interpolate data prescribed at the vertices of ann-dimensional simplex. This kind of barycentric interpolation is widely used, for example, in computer graphics, and the interpolating barycentric basis functions can be adopted as trial and test functions in finite and boundary element methods. The ideas of barycentric coordinates and barycentric interpolation have been extended in recent years to generalized barycentric coordinates for arbitrary polygons in the plane and general polytopes in higher dimensions, which in turn has led to novel solutions in applications like mesh parametrization, image warping, mesh deformation, as well as solving PDEs with finite and boundary element methods.
Topics
This special issue is dedicated to recent developments of generalized barycentric coordinates, covering new constructions, theoretic insights, and applications in the context of geometric design and processing, computer graphics, computational mechanics, and related research fields. The list of suggested topics includes, but is not limited to:
theoretical and numerical analysis
barycentric and transfinite interpolation
barycentric mappings
discrete differential geometry
mesh parameterization
shape deformation and free-form modeling
finite element and boundary element methods on polytopal meshes
meshfree coordinates
applications in computer graphics and geometry processing
applications in computational geometry
applications in computational solid and fluid mechanics