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[کتاب][B] Differential geometry and lie groups
JQ Gallier, J Quaintance - 2020 - Springer
This book is written for a wide audience ranging from upper undergraduate to advanced
graduate students in mathematics, physics, and more broadly engineering students …
graduate students in mathematics, physics, and more broadly engineering students …
Visualizing quaternions
This intermediate-level tutorial provides a comprehensive approach to the visualization of
quaternions and their relationships to computer graphics and scientific visualization. The …
quaternions and their relationships to computer graphics and scientific visualization. The …
Intrinsic parameterizations of surface meshes
Parameterization of discrete surfaces is a fundamental and widely‐used operation in
graphics, required, for instance, for texture map** or remeshing. As 3D data becomes …
graphics, required, for instance, for texture map** or remeshing. As 3D data becomes …
Mesh parameterization: Theory and practice
Mesh parameterization is a powerful geometry processing tool with numerous computer
graphics applications, from texture map** to animation transfer. This course outlines its …
graphics applications, from texture map** to animation transfer. This course outlines its …
Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: Geometric design and isogeometric analysis …
We present a framework for geometric design and isogeometric analysis on unstructured
quadrilateral meshes. Acknowledging the differing requirements posed by design (eg, the …
quadrilateral meshes. Acknowledging the differing requirements posed by design (eg, the …
Periodic global parameterization
We present a new globally smooth parameterization method for the triangulated surfaces of
arbitrary topology. Given two orthogonal piecewise linear vector fields defined over the input …
arbitrary topology. Given two orthogonal piecewise linear vector fields defined over the input …
Volumetric parameterization and trivariate B-spline fitting using harmonic functions
We present a methodology based on discrete volumetric harmonic functions to parameterize
a volumetric model in a way that it can be used to fit a single trivariate B-spline to data so …
a volumetric model in a way that it can be used to fit a single trivariate B-spline to data so …
Interactive geometry remeshing
We present a novel technique, both flexible and efficient, for interactive remeshing of
irregular geometry. First, the original (arbitrary genus) mesh is substituted by a series of 2D …
irregular geometry. First, the original (arbitrary genus) mesh is substituted by a series of 2D …
Isogeometric analysis using G-spline surfaces with arbitrary unstructured quadrilateral layout
G-splines are a generalization of B-splines that deals with extraordinary points by imposing
G 1 constraints across their spoke edges, thus obtaining a continuous tangent plane …
G 1 constraints across their spoke edges, thus obtaining a continuous tangent plane …
Designing quadrangulations with discrete harmonic forms
We introduce a framework for quadrangle meshing of discrete manifolds. Based on discrete
differential forms, our method hinges on extending the discrete Laplacian operator (used …
differential forms, our method hinges on extending the discrete Laplacian operator (used …