The following resources survey some popular numerical methods for inverse kinematics problems: Samuel R. Buss. Introduction to Inverse Kinematics with Jacobian Transpose, Pseudoinverse and Damped Least Squares methods Bill Baxter. Fast Numerical Methods for Inverse Kinematics Chris Welman. Inverse Kinematics and Geometric Constraints for Articulated Figure Manipulation Buss’s survey may be particularly interesting, because it … Read more
Proof: Point D is on a line CD perpendicular to AB, and of course D belongs to AB. Write down the Dot product of the two vectors CD.AB = 0, and express the fact D belongs to AB as D=A+t(B-A). We end up with 3 equations: Dx=Ax+t(Bx-Ax) Dy=Ay+t(By-Ay) (Dx-Cx)(Bx-Ax)+(Dy-Cy)(By-Ay)=0 Subtitute the first two equations in … Read more
John Resig’s port of the Processing library to Javascript: http://ejohn.org/blog/processingjs
I’ve written for my project the following function; it receives an THREE.Object3D instance and a camera as a parameters and returns the position on the screen. function toScreenPosition(obj, camera) { var vector = new THREE.Vector3(); var widthHalf = 0.5*renderer.context.canvas.width; var heightHalf = 0.5*renderer.context.canvas.height; obj.updateMatrixWorld(); vector.setFromMatrixPosition(obj.matrixWorld); vector.project(camera); vector.x = ( vector.x * widthHalf ) + widthHalf; … Read more
So the question really is Understanding 4×4 homogenous transform matrices well without the math behind the only thing that left is geometric representation/meaning which is far better for human abstraction/understanding. So what the 4×4 matrix is? It is representation of some Cartesian coordinate system and it is composed of: 3 basis vectors (one for each … Read more
No, Pygame is a wrapper for SDL, which is a 2D api. Pygame doesn’t provide any 3D capability and probably never will. 3D libraries for Python include Panda3D and DirectPython, although they are probably quite complex to use, especially the latter.
I would look at Ardor3D and have another look at JMonkeyEngine. Ardor3D UPDATE: Ardor3D’s developer ceased the project, but a subset of it continues to exist Created by the original JMonkeyEngine developer(s) who decided a clean break was required so they could start over and use all the experience gained to create a better API … Read more
Looking at the source code of THREE.TrackballControls, I figured out that I can make the camera look where I want by setting trackballControls.target to the THREE.Vector3 I want it to look at, and then rerendering the scene.
http://www.realtimerendering.com/intersections.html. It’s a huge matrix of algorithms that calculate intersections between various types of objects. Excellent resource.