A practical path planning methodology for wire and arc additive manufacturing of thin-walled structures
This paper presents a novel methodology to generate deposition paths for wire and arc
additive manufacturing (WAAM). The medial axis transformation (MAT), which represents the …
additive manufacturing (WAAM). The medial axis transformation (MAT), which represents the …
[引用][C] Handbook of computer aided geometric design
G Farin - Elsevier science google schola, 2002 - books.google.com
This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-
Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading …
Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading …
[图书][B] Digital geometry: Geometric methods for digital picture analysis
R Klette, A Rosenfeld - 2004 - books.google.com
Digital geometry is about deriving geometric information from digital pictures. The field
emerged from its mathematical roots some forty-years ago through work in computer-based …
emerged from its mathematical roots some forty-years ago through work in computer-based …
Mathematical theory of medial axis transform
HI Choi, SW Choi, HP Moon - pacific journal of mathematics, 1997 - msp.org
The medial axis of a plane domain is defined to be the set of the centers of the maximal
inscribed disks. It is essentially the cut loci of the inward unit normal bundle of the boundary …
inscribed disks. It is essentially the cut loci of the inward unit normal bundle of the boundary …
Pythagorean-hodograph curves.
RT Farouki - Handbook of computer aided geometric design, 2002 - Springer
Pythagorean–hodograph curves are characterized by the special property that their
“parametric speed”—ie, the derivative of the arc length with respect to the curve parameter …
“parametric speed”—ie, the derivative of the arc length with respect to the curve parameter …
Clifford algebra, spin representation, and rational parameterization of curves and surfaces
HI Choi, DS Lee, HP Moon - Advances in Computational Mathematics, 2002 - Springer
The Pythagorean hodograph (PH) curves are characterized by certain Pythagorean n-tuple
identities in the polynomial ring, involving the derivatives of the curve coordinate functions …
identities in the polynomial ring, involving the derivatives of the curve coordinate functions …
Approximation with active B-spline curves and surfaces
H Pottmann, S Leopoldseder… - 10th Pacific Conference …, 2002 - ieeexplore.ieee.org
An active contour model for parametric curve and surface approximation is presented. The
active curve or surface adapts to the model shape to be approximated in an optimization …
active curve or surface adapts to the model shape to be approximated in an optimization …
Applications of Laguerre geometry in CAGD
H Pottmann, M Peternell - Computer Aided Geometric Design, 1998 - Elsevier
We briefly introduce to the basics of Laguerre geometry and then show that this classical
sphere geometry can be applied to solve various problems in geometric design. In the …
sphere geometry can be applied to solve various problems in geometric design. In the …
[图书][B] Geometry of the squared distance function to curves and surfaces
H Pottmann, M Hofer - 2003 - Springer
We investigate the geometry of that function in the plane or 3-space, which associates to
each point the square of the shortest distance to a given curve or surface. Particular …
each point the square of the shortest distance to a given curve or surface. Particular …
Process planning for robotic wire and arc additive manufacturing
This study presents a process planning system, which directly generates manufacturing
code from CAD models for robotic wire and arc additive manufacturing (WAAM). A variety of …
code from CAD models for robotic wire and arc additive manufacturing (WAAM). A variety of …