SIAM Journal on Computing
Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
Discrete exterior calculus
Fast exact and approximate geodesics on meshes
ACM SIGGRAPH 2005 Papers
3D Distance Fields: A Survey of Techniques and Applications
IEEE Transactions on Visualization and Computer Graphics
Discrete differential forms for computational modeling
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Constant cusp height tool paths as geodesic parallels on an abstract Riemannian manifold
Computer-Aided Design
Parameter optimization for spray coating
Advances in Engineering Software
Evolutionary path generation for reduction of thermal variations in thermal spray coating
Proceedings of the 15th annual conference on Genetic and evolutionary computation
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Path-oriented, computer-controlled manufacturing systems work by moving a tool along a path in order to affect a workpiece. A common approach to the construction of a surface-covering path is to take a finite family of offset curves of a given seed curve with increasing offsets. This results in a set of quasi-parallel curves. The offset is chosen so that a tool moving along the curves has the desired impact at every surface point. In cases where the region of influence of a tool is different across the surface, an offset value necessary in one region may lead to a curve offset lower than required in other regions. The paper presents a general method of offset curve construction with tool-adaptive offsets. The offset path is obtained as a family of iso-curves of an anisotropic distance function of a seed curve on the workpiece surface. Anisotropy is defined by a metric tensor field on the surface. An application-independent algorithmic framework of the method for workpiece surfaces represented by a triangular mesh is presented. Its usefulness is demonstrated on the problem of varying cusp heights for milling and for spray coating of surfaces with a spray gun moved by an industrial robot.