Two moving coordinate frames for sweeping along a 3D trajectory

TL;DR: This work presents a novel simple and efficient method for accurate and stable computation of RMF of a curve in 3D, which uses two reflections to compute each frame from its preceding one to yield a sequence of frames to approximate an exact RMF.

TL;DR: An interactive deformation technique called AxDf (Axial Deformations), which allows deformations, such as bending, scaling, twisting and stretching, that can be controlled with a 3D axis to be easily specified.

TL;DR: This article surveys the state of the art in spatial deformation techniques and uses the user-centered criteria of versatility, ease of use, efficiency and correctness to compare techniques.

TL;DR: A broadly applicable formulation for representing the boundary of swept geometric entities is presented, applicable to entities of any dimension and applications to NC part geometry verification, robotic manipulators, and computer modeling are discussed.

TL;DR: A coherent view, based on sound theoretical principles, of what is presently known about the representation of solids is provided by providing a simple mathematical framework for characterizing certain important aspects of representations, for example, their semantic (geometric) integrity.

TL;DR: An algorithm is presented for ray tracing generalized cylinders, that is, objects defined by sweeping a two-dimensional contour along a three-dimensional trajectory, which is possible to obtain highly realistic images for a very broad class of objects.

TL;DR: Algorithms for performing the calculation of the intersection of a line with an object for objects defined by sweeping a planar cubic spline through space using translational, rotational, and conic sweeping are presented.