[ספר][B] Implicit curves and surfaces: mathematics, data structures and algorithms
AJP Gomes, I Voiculescu, J Jorge, B Wyvill, C Galbraith - 2009 - Springer
Continuation methods are based on piecewise linear approximation of a variety (eg curve or
surface) by means of numerical solution of an initial value problem 7. In other words, they …
surface) by means of numerical solution of an initial value problem 7. In other words, they …
Isotopic approximation of implicit curves and surfaces
Implicit surfaces are defined as the zero set of a function F: R3← R. Although several
algorithms exist for generating piecewise linear approximations, most of them are based on …
algorithms exist for generating piecewise linear approximations, most of them are based on …
Curvature and torsion estimators based on parametric curve fitting
Many applications of geometry processing and computer vision rely on geometric properties
of curves, particularly, their curvature. Several methods have already been proposed to …
of curves, particularly, their curvature. Several methods have already been proposed to …
Robust adaptive meshes for implicit surfaces
This work introduces a robust algorithm for computing good polygonal approximations of
implicit surfaces, where robustness entails recovering the exact topology of the implicit …
implicit surfaces, where robustness entails recovering the exact topology of the implicit …
Isotopic meshing of implicit surfaces
Implicit surfaces are given as the zero set of a function F: ℝ 3→ ℝ. Although several
algorithms exist for generating piecewise linear approximations, most of these are based on …
algorithms exist for generating piecewise linear approximations, most of these are based on …
[HTML][HTML] Cad/cam system for additive manufacturing with a robust and efficient topology optimization algorithm based on the function representation
Additive manufacturing erases the distance between design ideas and finished parts.
However, designers must use several software tools to use these advantages. Moreover …
However, designers must use several software tools to use these advantages. Moreover …
Arc-length based curvature estimator
Many applications of geometry processing and computer vision rely on geometric properties
of curves, particularly their curvature. Several methods have been proposed to estimate the …
of curves, particularly their curvature. Several methods have been proposed to estimate the …
[ספר][B] Numerical linear approximation in C
N Abdelmalek, WA Malek - 2008 - taylorfrancis.com
Illustrating the relevance of linear approximation in a variety of fields, Numerical Linear
Approximation in C presents a unique collection of linear approximation algorithms that can …
Approximation in C presents a unique collection of linear approximation algorithms that can …
A continuation algorithm for planar implicit curves with singularities
Continuation algorithms usually behave badly near to critical points of implicitly defined
curves in R 2, ie, points at which at least one of the partial derivatives vanishes. Critical …
curves in R 2, ie, points at which at least one of the partial derivatives vanishes. Critical …
Geometric primitive feature extraction-concepts, algorithms, and applications
This thesis presents important insights and concepts related to the topic of the extraction of
geometric primitives from the edge contours of digital images. Three specific problems …
geometric primitives from the edge contours of digital images. Three specific problems …