TY  - JOUR
T1  - Exploiting the Implicit Support Function for a Topologically Accurate Approximation of Algebraic Curves
A1  - Blažková, Eva
A1  - Šír, Zbyněk
JA  - Lecture Notes in Computer Science
Y1  - 2014
VL  - 8177
SP  - 49
EP  - 67
M2  - doi: 10.1007/978-3-642-54382-1_4
KW  - algebraic curve
KW  - appro xi- mation
KW  - critical points
KW  - support function
KW  - trigonometric polynomial
N2  - Describing the topology of real algebraic curves is a classical problem in computational algebraic geometry. It is usually based on algebraic techniques applied directly to the curve equation. We use the implicit support function representation for this purpose which can in certain cases considerably simplify this task. We describe possible strategies and demonstrate them on a simple example. We also exploit the implicit support function for a features-preserving approximation of the graph topologically equivalent to the curve. This contribution is meant as a first step towards an algorithm combining classical approaches with the dual description via the support function.
M1  - Preprint project = NCMM
M1  - Preprint year = 2014
M1  - Preprint number = 07
M1  - Preprint ID = NCMM/2014/07
ER  -