Flat-end tool orientation based on rotation-minimizing frame
نویسندگان
چکیده
منابع مشابه
Computation of Rotation Minimizing Frame
Due to its minimal twist, the rotation minimizing frame (RMF) is widely used in computer graphics, including sweep or blending surface modeling, motion design and control in computer animation and robotics, streamline visualization, and tool path planning in CAD/CAM. We present a novel simple and efficient method for accurate and stable computation of RMF of a curve in 3D. This method, called t...
متن کاملComputation of Rotation Minimizing Frame in Computer Graphics
We investigate the computation and properties of rotation minimizing frame (RMF), which is a moving orthonormal frame U(u) attached to a smooth curve x(u), called the spine curve, in 3D such that U(u) does not rotate about the instantaneous tangent of x(u). Due to its minimal-twist property, the RMF is widely used in computer graphics, including sweep or blending surface modeling, motion design...
متن کاملComputing and approximating sweeping surfaces based on rotation minimizing frames
The sweeping surface, or generalized cylinder, is important in graphics, computer vision and elsewhere. A rotation minimizing frame, avoid the unnecessary twist given it by the Frenet frame. We give a quadratically convergent algorithm for computing it along a 3D trajectory curve, with an error bound. This is then used to create NURBS-approximated sweeping surfaces, to aid its incorporation int...
متن کاملMinimizing Fusion Frame Potential
Fusion frames are an emerging topic of frame theory, with applications to encoding and distributed sensing. However, little is known about the existence of tight fusion frames. In traditional frame theory, one method for showing that unit norm tight frames exist is to characterize them as the minimizers of an energy functional, known as the frame potential. We generalize the frame potential to ...
متن کاملRotation-minimizing osculating frames
An orthonormal frame (f1, f2, f3) is rotation–minimizing with respect to fi if its angular velocity ω satisfies ω · fi ≡ 0 — or, equivalently, the derivatives of fj and fk are both parallel to fi. The Frenet frame (t,p,b) along a space curve is rotation–minimizing with respect to the principal normal p, and in recent years adapted frames that are rotation–minimizing with respect to the tangent ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Manufacturing
سال: 2019
ISSN: 2095-3127,2195-3597
DOI: 10.1007/s40436-019-00271-4