空间坐标系变换的函数梯度描述方法
收稿日期: 2012-09-17
修回日期: 2014-03-14
网络出版日期: 2014-10-24
基金资助
国家自然科学基金项目
The Functional Gradient Description Method of Space Coordinate Transformation
Received date: 2012-09-17
Revised date: 2014-03-14
Online published: 2014-10-24
段鹏硕 刘根友 龚有亮 郝晓光 王娜子 . 空间坐标系变换的函数梯度描述方法[J]. 测绘学报, 2014 , 43(10) : 1005 -1012 . DOI: 10.13485/j.cnki.11-2089.2014.0145
This?study?proposes?the?conception?of?coordinate?transformation?gradient?field,?which?can?realize?the?space?coordinate?transformation?from?small?angle?to?arbitrary?angle?and?from?static?to?dynamical.?
Based?on?the?equivalent?of?the?unit?quaternion?rotation?matrix?and?the?Rodrigo?matrix,?this?paper?reveals?the?mathematical?relationship?between?the?spatial?coordinate?transformation?and?the?functional?
gradient?and?derives?an?arbitrary?coordinate?transformation?formula?expressed?by?functional?gradient?in?space.?The?results?indicate?that?the?essence?of?spatial?coordinate?transformation?is?potential?field
?in?mathematic?and?we?can?unify?all?the?space?coordinate?transformations?by?using?the?conception?of?field,?which?is?the?theoretical?foundation?for?the?further?study?of?time?continuous?space?coordinate
?transformation?and?this?study?also?gives?a?new?solution?for?the?attitude?determination?of?motion?carriers.
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