math - where 0,0 is at the center and the y axis goes up and.The scale equations take into account the difference between:.The project equations are variations of our ‘law of similar triangles’ above.The translate equations calculate the point relative to the camera.NOTE: in a true 3d system a rotation step would come between steps 1 and 2, but since we’re going to be faking curves we dont need to worry about rotation ProjectionĪnd so we can present our formal projection equations as follows: scaling the projected coordinates to physical screen (in our case canvas) coordinates.projecting camera coordinates onto a normalized projection plane.translating from world coordinates to camera coordinates.We’ve also assumed that the camera is at the origin of our world when in This sounds nice and simple in diagram form, but once you start coding its easy to get a little confused because we haveīeen a bit loose in naming our variables and its not clear which represent 3d world coordinates and You can see that for both x and y, what we are really doing is scaling by a factor of Where w = half the width of the road (from camera to road edge) We could have also drawn a similar diagram from a top-down view instead of a side-on view and derived a similarĮquation for calculating the screen x coordinate as Then we could use the law of similar triangles to calculate
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Will start off here with v1, building very simple straight road geometry and projecting it onto our HTML5īefore we get down to the implementation, lets use some basic trigonometry to remind ourselves how to projectĪt its most basic, without getting into vectors and matrices, 3D projection uses a law of similar triangles.
We will do it gradually, over the course of the next 4 articles, but we NOTE: Lou’s page doesn’t render well in google chrome - so its best viewed using Firefox or IEįinished reading Lou’s article ? Great! We’re going to build a variation on his ‘Realistic Hills Usingģd-Projected Segments’ approach. Its the main source of information (that I could find) online about how to build a pseudo-3d racing game. enable keyboard support to drive the carīefore we do any of that, lets go off and read Lou’s Pseudo 3d Page.
Get started building a pseudo-3d racing game ? Previously we introduced our outrun-style racing game, but how do we