# How to rotate entire 3d data with x,y,z values along a particular axis (say x axis)?

조회 수: 522(최근 30일)
Sagar 2014년 3월 30일
편집: Visa Suomi 2017년 9월 26일
I need to rotate my 3d dataset defined by x,y,z coordinate along x axis at a specified angle (say 45 degree). This kinds of rotations are often needed when processing scanner and LIDAR data. MATLAB can do exactly what I want to do, but in graphic objects only i.e. using rotate(h,direction,alpha). However, this doesn't change the source data. I need to get the new rotated data, how can I retrieve the new rotated x,y,z data? Or, could you please suggest how to calculate in MATLAB?
Thank you,

댓글을 달려면 로그인하십시오.

### 채택된 답변

Roger Stafford 2014년 3월 30일
Let X,Y,Z be arrays of the rotated points in the dataset. For rotation along the x-axis:
X = x;
Y = y*cos(p)-z*sin(p);
Z = y*sin(p)+z*cos(p);
For rotation p radians in the direction from the y-axis toward the z-axis, that is, in accordance with the "right-hand rule" about the positive x-axis.
##### 댓글 수: 2표시숨기기 이전 댓글 수: 1
Visa Suomi 2017년 9월 26일
Here are the transformations for all three axes.
Around X-axis:
X = x;
Y = y*cos(theta) - z*sin(theta);
Z = y*sin(theta) + z*cos(theta);
Around Y-axis:
X = x*cos(theta) + z*sin(theta);
Y = y;
Z = z*cos(theta) - x*sin(theta);
Around Z-axis:
X = x*cos(theta) - y*sin(theta);
Y = x*sin(theta) + y*cos(theta);
Z = z;

댓글을 달려면 로그인하십시오.

### 추가 답변(1개)

Matt J 2014년 3월 30일
##### 댓글 수: 7표시숨기기 이전 댓글 수: 6
Sagar 2014년 3월 31일
That works. Thanks,
-Sagar

댓글을 달려면 로그인하십시오.

### Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!