Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Rational ruled surfaces and their offsets
Graphical Models and Image Processing
Computing rational parametrizations of canal surfaces
Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
Neural, Parallel & Scientific Computations - computer aided geometric design
Applications of Laguerre geometry in CAGD
Computer Aided Geometric Design
Polynomial/rational approximation of Minkowski sum boundary curves
Graphical Models and Image Processing
Minkowski pythagorean hodographs
Computer Aided Geometric Design
Symbolic parametrization of pipe and canal surfaces
ISSAC '00 Proceedings of the 2000 international symposium on Symbolic and algebraic computation
Computational Line Geometry
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Mason: morphological simplification
Graphical Models
Computing the convolution and the Minkowski sum of surfaces
Proceedings of the 21st spring conference on Computer graphics
Rational surfaces with linear normals and their convolutions with rational surfaces
Computer Aided Geometric Design
Minkowski sum boundary surfaces of 3D-objects
Graphical Models
Convolution surfaces of quadratic triangular Bézier surfaces
Computer Aided Geometric Design
Computing Isophotes on Free-Form Surfaces Based on Support Function Approximation
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Rational surfaces with linear normals and their convolutions with rational surfaces
Computer Aided Geometric Design
A GPU-based voxelization approach to 3D Minkowski sum computation
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Voxelized Minkowski sum computation on the GPU with robust culling
Computer-Aided Design
A sweep and translate algorithm for computing voxelized 3D Minkowski sums on the GPU
Computer-Aided Design
| Hi-index | 0.00 |
The boundary of the Minkowski sum of two geometric objects is part of the so-called convolution surface of the boundary surfaces of the two input objects. In most cases, convolution surfaces can be computed only by numerical algorithms. The present paper studies convolution surfaces of ruled surfaces. There, explicit parameterizations for the convolution surface can be derived. Moreover, we study the rational convolution surface of two rational ruled surfaces and the connection to rational parameterizations of offsets of rational ruled surfaces.