公开(公告)号：US06697538B1

公开(公告)日：2004-02-24

申请号：US09627512

申请日：2000-07-28

Applicant: Sigurd B. Angenent ,  Allen R. Tannenbaum ,  Steven Haker ,  Ron Kikinis

Inventor： Sigurd B. Angenent ,  Allen R. Tannenbaum ,  Steven Haker ,  Ron Kikinis

IPC: G06K936

CPC classification number: G06T19/00 ,  G06T15/10 ,  G06T2219/021

Abstract: A computerized apparatus and associated method and program code on a storage medium, for producing a flattening map of a digitized image. This image may be initially synthetically produced as discrete data or as quasi-discrete image data of a real object—and the original image data may be stored as two-, three-, or four-dimensional dynamic coordinate data. Once produced, the flattening map can be conformally mapped onto the computer generated surface (whether 2-D, 3-D, or any of the dynamically-varying family of surfaces) for display on a computer-assisted display apparatus in communication with a processor. The apparatus and associated method and program code include constructing a first set of data comprising a plurality of discrete surface-elements to represent at least a portion of a surface of the digitized image, and performing a flattening function on the first set of data to produce the flattening map. The flattening function includes computing, for each discrete surface-element, a solution to each of two systems of linear equations formulated from finding a numerical solution to a selected partial differential equation (PDE), and can be performed on each of a series of data sets changing over time to produce a corresponding series of flattening maps.

Abstract translation: 一种存储介质上的计算机化设备和相关联的方法和程序代码，用于产生数字化图像的平坦化图。 该图像可以最初合成地产生为离散数据或作为真实对象的准离散图像数据，并且原始图像数据可以被存储为二维，三维或四维动态坐标数据。 一旦生成，平坦化图可以被共形地映射到计算机生成的表面上（无论是2-D，3-D或任何动态变化的表面系列），以在与处理器通信的计算机辅助显示装置上显示 。 装置和相关联的方法和程序代码包括构建包括多个离散表面元素的第一组数据以表示数字化图像的表面的至少一部分，以及对第一组数据执行平坦化函数以产生 平坦的地图。 平坦化功能包括：对于每个离散表面元素，对从两个系统的线性方程式中的每一个计算出从求出选定的偏微分方程（PDE）得到数值解的公式，并且可以对一系列数据 随着时间的推移变化，产生相应的一系列平坦化的地图。