One of these tasks is a process called "transformer" that transforms the Objects defined in Real World coordinates into viewing coordinates (Image Space) according to the viewing position and direction. Objects are represented by planar and convex polygons. In this way the viewing transformation of objects is reduced to the transformation of points, namely the vertices of the polygons. The tran...

We prove two results about the local properties of generically one to one analytic mappings. Version: .76; Revised: 12–15–98; Run: March 23, 1999 §1: Introduction In this paper we consider two local properties of analytic maps which are generically one to one. First we consider holomorphic maps from open sets in C which behave locally like monoidal transformations: Let (z, w) denote coordinates...

This study develops an equation for describing three-dimensional membrane transformation through proliferation of its component cells regulated by morphogen density distributions on the membrane. The equation is developed in a two-dimensional coordinate system mapped on the membrane, referred to as the membrane coordinates. When the membrane expands, the membrane coordinates expand in the same ...