Add to ORKGWe prove that the control polygon of a Bézier curve B becomes homeomor-phic and ambient isotopic to B via subdivision, and we provide closed-form formulas to compute the number of subdivision iterations to ensure these topological characteristics. We first show that the exterior angles of control polygons converge exponentially to zero under subdivision
Abstract. The Epstein-Baer theory of curve isotopies is basic to the remark-able theorem that homoto...
AbstractIt is an often used fact that the control polygon of a Bézier curve approximates the curve a...
AbstractGiven a real valued function f(X,Y), a box region B0⊆R2 and ε>0, we want to compute an ε-iso...
A set of control points can determine a Bézier surface and a triangulated surface simultaneously. W...
There is contemporary interest to preserve appropriate topological characteristics during geometric ...
There is contemporary interest to preserve appropriate topological characteristics during geometric ...
There is contemporary interest to preserve appropriate topological characteristics during geometric ...
Abstract. The preservation of ambient isotopic equivalence under piecewise linear (PL) approximation...
AbstractGiven a real valued function f(X,Y), a box region B0⊆R2 and ε>0, we want to compute an ε-iso...
We present a purely numerical (i.e., non-algebraic) subdivision algorithm for computing an isotopic ...
We present a purely numerical (i.e., non-algebraic) subdivision algorithm for computing an isotopic ...
We present a purely numerical (i.e., non-algebraic) subdivision algorithm for computing an isotopic ...
[EN] The preservation of ambient isotopic equivalence under piecewise linear (PL) approximation for ...
Properties of a parametric curve in R3 are often deter-mined by analysis of its piecewise linear (PL...
Previously, numerical evidence was presented of a self-intersecting Bezier curve having the unknot f...
Abstract. The Epstein-Baer theory of curve isotopies is basic to the remark-able theorem that homoto...
AbstractIt is an often used fact that the control polygon of a Bézier curve approximates the curve a...
AbstractGiven a real valued function f(X,Y), a box region B0⊆R2 and ε>0, we want to compute an ε-iso...
A set of control points can determine a Bézier surface and a triangulated surface simultaneously. W...
There is contemporary interest to preserve appropriate topological characteristics during geometric ...
There is contemporary interest to preserve appropriate topological characteristics during geometric ...
There is contemporary interest to preserve appropriate topological characteristics during geometric ...
Abstract. The preservation of ambient isotopic equivalence under piecewise linear (PL) approximation...
AbstractGiven a real valued function f(X,Y), a box region B0⊆R2 and ε>0, we want to compute an ε-iso...
We present a purely numerical (i.e., non-algebraic) subdivision algorithm for computing an isotopic ...
We present a purely numerical (i.e., non-algebraic) subdivision algorithm for computing an isotopic ...
We present a purely numerical (i.e., non-algebraic) subdivision algorithm for computing an isotopic ...
[EN] The preservation of ambient isotopic equivalence under piecewise linear (PL) approximation for ...
Properties of a parametric curve in R3 are often deter-mined by analysis of its piecewise linear (PL...
Previously, numerical evidence was presented of a self-intersecting Bezier curve having the unknot f...
Abstract. The Epstein-Baer theory of curve isotopies is basic to the remark-able theorem that homoto...
AbstractIt is an often used fact that the control polygon of a Bézier curve approximates the curve a...
AbstractGiven a real valued function f(X,Y), a box region B0⊆R2 and ε>0, we want to compute an ε-iso...