Parametric curves are frequently used in computer animation and virtual environments to
control the movements of synthetic objects. In many of these applications it is essential to …

Line of curvature on a surface plays an important role in practical applications. A curve on a
surface is a line of curvature if its tangents are always in the direction of the principal …

This paper presents WiSh, a solution that makes ordinary surfaces shape-aware, relaying
their real-time geometry directly to a user's handheld device. WiSh achieves this using …

Fiber placement is a modern method of constructing composite structures with complex
curved surfaces. Modeling individual tows in a fiber placed part constitutes the challenge …

We present a simultaneous localization and mapping (SLAM) algorithm that uses Bézier
curves as static landmark primitives rather than feature points. Our approach allows us to …

A hash method is proposed to compute bi-directionally the arc length and the parameter of
the NURBS curve in curve interpolation. By using a hash table that adopts a doubly linked …

This paper studies a general method for estimating the length of a parametric curve using
only samples of points. We show that by making a special choice of points, namely the …

We tessellate a closed surface bounding a solid into four-sided patches Pi. Each patch Pi is
the image of the unit square by γi which is the composition of a 2D Coons mapping and a …

Stylized tubes are an established visualization primitive for line data as encountered in
many scientific fields, ranging from characteristic lines in flow fields, fiber tracks …

Given a parametric polynomial curve γ:[a, b]→ Rn, how can we sample a random point x∈
im (γ) in such a way that it is distributed uniformly with respect to the arc-length …