We show that all so-called C-curves are affine images of trochoids or sine curves and use this relation to investigate the occurrence of inflection points, cusps, and loops. The re...
This paper presents a new kind of splines, called non-uniform algebraic-trigonometric B-splines (NUAT B-splines), generated over the space spanned by {1,t,...,tk-3,cost,sint} in w...
We consider existence of curves c : [0, 1] Rn which minimize an energy of the form c(k) p (k = 1, 2, . . . , 1 < p < ) under side-conditions of the form Gj(c(t1,j), . . . ,...
We consider the ICP (iterative closest point) algorithm, which may in general be used for moving `active' elements such as curves and surfaces towards geometric objects whose...
This note conjectures that if two surface patches intersect with G1 continuity along an entire curve, the probability is one that the curve is rational. This idea has significance...
The four-triangles longest-edge (4T-LE) partition of a triangle t is obtained by joining the midpoint of the longest edge of t to the opposite vertex and to the midpoints of the t...
Given a set of data points as measurements from a developable surface, the present paper investigates the recognition and reconstruction of these objects. We investigate the set o...