What is a polynomial Surface?

Question

I need to figure out what is a polynomial surface (that is made to model the distribution of objects a certain location). If you answer, please consider the fact that I am a complete idiot when it comes to math etc...thanks.

Answer 1

The extraction of information from 3D data is often difficult as it involves processing huge volumes of data. A generic model fitted to data sets can dramatically ease the required processing and simplify several 3D problems. In computer vision, objects in 3D images are mostly described by their surfaces; ellipsoids, quadric surfaces, and super-quadrics are used as surface models. In essence, these surfaces are special forms of the more generic implicit algebraic surfaces. In this project, 3D object representation based on implicit algebraic surfaces is investigated. Fundamental to the usefulness of this representation is the intelligent fitting of algebraic surfaces to 3D data sets, which is a challenge solved by extending the 3L fitting algorithm for 2D curves to 3D. Our goal is to show that implicit algebraic surfaces become a viable 3D shape representation alternative with the new efficient 3D fitting technique.

Answer 2

i think it's a multi-faceted surface such as a pretzel or knot. you have to look at various surfaces to descibe the objects contained thereon. try asking in amthematics. it would probably get a better answer there from someone who understands the math involved.