logo
down
shadow

3d point on circumference of a circle with a center, radius and normal vector


3d point on circumference of a circle with a center, radius and normal vector

By : tuschenski
Date : November 22 2020, 10:40 AM
I hope this helps you . What you need is a new coordinate system to place the circle. As any common coordinate system, we'll want the base vectors to be orthogonal to each other, and have length 1 each. I'll name the base vectors v1, v2, and v3, which correspond to x, y, and z in order.
The new base vector that replaces z, which is v3 is given by the normal vector of the circle. If it's not normalized yet, you'll want to normalize it here:
code :
     [ v3x ]
v3 = [ v3y ] = normalize(circleNormal)
     [ v3z ]
               [ v3z ]
v1 = normalize([ 0   ])
               [ -v3x]
v2 = v3 x v1
p = centerPoint + R * (cos(a) * v1 + sin(a) * v2)
// Only needed if normal vector (nx, ny, nz) is not already normalized.
float s = 1.0f / (nx * nx + ny * ny + nz * nz);
float v3x = s * nx;
float v3y = s * ny;
float v3z = s * nz;

// Calculate v1.
s = 1.0f / (v3x * v3x + v3z * v3z);
float v1x = s * v3z;
float v1y = 0.0f;
float v1z = s * -v3x;

// Calculate v2 as cross product of v3 and v1.
// Since v1y is 0, it could be removed from the following calculations. Keeping it for consistency.
float v2x = v3y * v1z - v3z * v1y;
float v2y = v3z * v1x - v3x * v1z;
float v2z = v3x * v1y - v3y * v1x;

// For each circle point.
px = cx + r * (v1x * cos(a) + v2x * sin(a))
py = cy + r * (v1y * cos(a) + v2y * sin(a))
pz = cz + r * (v1z * cos(a) + v2z * sin(a))


Share : facebook icon twitter icon
Find the point on a circle with given center point, radius, and degree

Find the point on a circle with given center point, radius, and degree


By : Gustsaiyonee
Date : March 29 2020, 07:55 AM
To fix this issue The simple equations from your link give the X and Y coordinates of the point on the circle relative to the center of the circle.
code :
X = r * cosine(angle)  
Y = r * sine(angle)
X = Cx + (r * cosine(angle))  
Y = Cy + (r * sine(angle))
How to calculate a point on a circle knowing the radius and center point

How to calculate a point on a circle knowing the radius and center point


By : Tamil
Date : March 29 2020, 07:55 AM
it should still fix some issue As you build up the track, the position of the next piece of track to be placed needs to be relative to location and direction of the current end of the track.
I would store an (x,y) position and an angle a to indicate the current point (with x,y starting at 0, and a starting at pi/2 radians, which corresponds to straight up in the "anticlockwise from 3-o'clock" system).
code :
fx = cos(a);
fy = sin(a);
lx = -sin(a);
ly = cos(a);
x=x+112*fx
y=y+112*fy
x=x+285.206*sin(22.5*pi/180)*fx // Move forward
y=y+285.206*sin(22.5*pi/180)*fy

x=x+285.206*(1-cos(22.5*pi/180))*(-lx) // Side-step right
y=y+285.206*(1-cos(22.5*pi/180))*(-ly)

a=a-22.5*pi/180 // Turn to face new direction
Formula to find points on the circumference of a circle, given the center of the circle and the radius

Formula to find points on the circumference of a circle, given the center of the circle and the radius


By : onopuccino
Date : March 29 2020, 07:55 AM
I wish did fix the issue. I am working on code to find the points on the circumference of a circle. I have the center point of the circle and the radius and I need to draw a circle around it. This will help me define the boundary. Please help me with formula for finding the these points on the circumference. , For a circle with origin (j, k) and radius r:
x(t) = r cos(t) + j
Javascript: compute the radius of circle given center point and another point

Javascript: compute the radius of circle given center point and another point


By : Shraddha Joshi
Date : March 29 2020, 07:55 AM
may help you . Suppose I have a circle with a center point at origin (0,0) and a 90deg point from it at (0,10)... from this 2 obvious points the radius of the circle would definitely be 10, right? , Power in javascript is done by using Math.pow:
code :
Math.sqrt( Math.pow((x1-x2), 2) + Math.pow((y1-y2), 2) )
How to move n degrees from vector point A along the circumference of a circle? (image included)

How to move n degrees from vector point A along the circumference of a circle? (image included)


By : Godwin
Date : March 29 2020, 07:55 AM
Hope that helps A, B and Center are 2D vector points. , All angles are in radians. Your n is whats called the circles arc.
Related Posts Related Posts :
  • Why onNext has no effect
  • IntelliJ Idea 2018.2 no option for importing gradle project
  • Remove a negative element from an array w/o array.copy
  • Could this prevent overflow in Java?
  • In Java Swing, can I receive Caret events in real time?
  • I need help not using brute force when using JFrames and DrawWindows
  • How do I refactor ArrayList<MyClass> into MyClassLIst?
  • My program keeps saying that the method cannot be resolved
  • BubbleSort -my code returns random addresses
  • JavaFX components inside HTML?
  • Character in Java game not responding
  • Working around access denied in a FileWalking Tree in Java7
  • How to avoid if/else when using multple suppliers?
  • How to pass object from table cell editor to Table Model?
  • Paypal Sandbox payment state pending
  • sejda-console.bat passing parameters with spaces
  • Multiple Consumers Spring Kafka
  • Bitbucket pipeline: environmental variables in build.gradle file not recognized
  • Java static enum method to return a default enum value
  • What is the complexity of empty for loop?
  • Group randomly List of Lists as N subsets with K elements in each
  • How to set texture on a shape drawn by glDrawArrays()?
  • How to make a jlabel resizable according to the window
  • Java Mathematical Expression Syntax
  • assigning values to characters in java
  • Method overriding and Inheritance in java
  • given a set of lists/groups with a series of number, find matching numbers
  • Connection to HID USB device (keyboard and mouse) in android
  • Inject HttpServletRequest in CDI SessionScoped bean
  • Pool game in java - ball collision algorithm
  • Focus ScrollView to selected position programmatically - Android
  • Is it hibernate bug?
  • Glib memory allocation error
  • Android Proguard - step by step
  • Setting the pivot point of a JPanel to its center
  • java check time is greater time
  • how to save a screenshot (matlab)
  • Anti-aliasing filled shapes in libgdx
  • Gwt custom text box having baloon popup
  • How to change date dynamically for each element in an Array
  • JPanel won't add the JLabel text?
  • how to access the .properties file in ant if it is in different location
  • Reduce application memory footprint
  • java.lang.ClassCastException: javax.mail.Session cannot be cast to javax.mail.Session
  • What is the exact purpose of calling System.exit() in java
  • How to do you get output from Javascript into Java using ScriptEngine
  • Java replaceAll() method to escape special characters
  • Java (Removing a 'keyword' from the alphabet)
  • Format BigDecimal in Spring
  • iterating checkbox values stored in array using EL
  • Java - Jackcess API with .accde(MS Access) format
  • Alternative for some of Struts 1 methods in Struts 2
  • javax.crypto JDK source code, again
  • Spring Roo - Command 'service' not found
  • antlr4: ATN version 2 expected 3
  • Deploy GlassFish using Netbeans generate java.net.MalformedURLException: Bad URL path
  • why is wait() called for loop in Thread.join() of Java?
  • Java JAXB marshall into DOM Document
  • Why JDBI 3 @ColumnName annotation doesn't work?
  • Java SimpleDateformatter with 10 decimals after the seconds, cannot convert to Date
  • shadow
    Privacy Policy - Terms - Contact Us © ourworld-yourmove.org