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• Calculating terrain height in 3d-space

  - by Jonas B

  Hi I'm diving into 3d programming a bit and am currently learning by writing a procedural terrain generator that generates terrain based on a heightmap. I would also want to implement some physics and my first attempt at terrain collision was by simply checking the current position vs the heightmap. This however wont work well against small objects as you'd have to calculate the height by taking the heightdifference of the nearest vertices of the object and doing this every colision check is pretty slow. Beleive me I tried googling for it but there's simply so much crap and millions of blogs posting ripped-of newbie tutorials everywhere with basically no real information on the subject, I can't find anything that explains it or even names any generally used techniques. I'm not asking for code or a complete solution, but if anyone knows a particular technique good for calculating a high-res heightmap out of the already generated and smoothed terrain I would be very happy as I could look into it further when I know what I'm looking for. Thanks

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• 3D line plane intersection, with simple plane

  - by clamp

  hello, i have two points in 3D space which have X-coordinates with different signum. so one of them lies definitely on one side of the X-plane and one on the other. now i want to find the intersection of this plane and the line made up by the two points in the most simple and optimized way. i know how to do general line plane intersection, but since in this case the plane is just the x-plane, i think there should be some shortcuts i can take. thanks!

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• MATLAB: Need to make a 4D plot (3D + Colour/Color)

  - by user1305624

  I need to make a 3D surface where colour will represent the fourth variable. I know "surf" is SIMILAR to what I need, but that's not quite it. Basically, I have the following variables: t = [1:m] y = [1:n] a = [1:o] These should be the three Cartesian corodinate axes. I also have a variable S that is of dimensions m x n x o, and is basically the amplitude, a function of the previous three variables (i.e. S = f(t,y,a)). I want this to be represented by colour. So to summarize, I need a graph of the form (t,y,a,S), where the first three variables are vectors of unequal sizes and the final variable is a multidimensional array whose dimensions are determined by the first three. Thanks in advance.

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• Reconstructing simple 3d enviroment(room) from photo

  - by Riz

  I have photo of a room with three walls and floor/ceiling or both. I am trying to reconstruct this room in 3d asking user for minimal input. Right now I use 8 points defined by user, angles of left and right wall(they can be quite different from 90) and one size "InLeftBottom-InRightBottom"(I need to have real size of this room for later use). I have no info about user's camera(I can read EXIF to get FOV and use constant height but this can be only used as additional info). Is this possible to ask user for less info? Maybe it's possible to get wall angles without user interaction? Or maybe I am completly wrong and should use different approach?

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• 3D framework/library os x

  - by Deano

  Does anyone have any advice as to a good framework for simplifying the generation of 3D models? I am trying to construct a parametric program for tasks such as ship design. Actions such as surface modelling, intersections etc are a must. I have investigated openCASCADE and it shows promise but getting it to integrate into a native cocoa interface is not currently achievable (By me at any rate). All ideas and suggestions welcome. Should I just forget it and integrate an X11 window, if so any tutorials for doing this?

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• 3d movement around a sphere

  - by user578954

  Hey guys, Im working in 3d for the first time in a long time. Basically im rotating a sphere and projecting x y z cords to place things on the surface based on the spheres X and Y rotation. Heres the code im using: #define piover180 0.01745329252f GLfloat cosy = cos(yrot * piover180); island[i].x = rad * sin(xrot * piover180)* cosy; island[i].y = rad * sin(yrot * piover180); island[i].z = rad * cos(xrot * piover180) * cosy; Problem is the Xrot positioning works fine but the Yrot placement always draw the objects into the north and south pole so they all cross at the top, which isnt correct for rotating. I need a way to solve this. Heres a picture to help explain http://llllost.com/shuttle/47bcde62.jpg Any help would be greatly appreciated, let me know if you need any more information

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• What is the best platform/language for a 3D game in a web browser?

  - by CodeJustin.com

  I have enjoyed making 2D games in various langues (actionscript 3.0, java, python, others) but now I'm ready to move into 3D and to really get me amped up while learning 3D development I'm going to attempt to make a 3D multiplayer game (I already have server written in python). I'm looking for a platform that will run a 3D game well in the browser on low end computers with low end internet. What first came to mind was try Java or use flash/silver light with a 3D framework but I wanted to ask the good people of stackoverflow since performance is a big part of my needs and also good documentation is a plus since I'm just starting 3D development. (the programming language does not matter)

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• 3D Mesh Joining

  - by morlst

  I have 2 (or more) intersecting meshes, which require joining into 1 mesh object. I want to have some control over the resulting seam vertex insertion, so looking to write myself rather than use a library. Has anyone come across some open source code to base the algorithm on / ideas on the process? Initial impressions are: 1. Present in every 3D modelling program - mostly reinventing existing process (hence search for examples) 2. Potential for fiddly-ness around the polygon face direction and just touching conditions. (see above point)

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• Java3D: Painting 2D HUD over a Canvas3D

  - by Jim

  Hello, I'm using Java3D to render a three-dimensional scene. I would like to overlay a two-dimensional "heads-up-display" on top of the 3d image. How can I efficiently paint the 2d content on top of the 3d canvas? Thanks!

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• WPF 3D extrude "a bitmap"

  - by Bgnt44

  Hi, I'm looking for a way to simulate a projector in wpf 3D : i've these "in" parameters : beam shape : a black and white bitmap file beam size ( ex : 30 °) beam color beam intensity ( dimmer ) projector position (x,y,z) beam position (pan(x),tilt(y) relative to projector) First i was thinking of using light object but it seem that wpf can't do that So, now i think that i can make for each projector a polygon from my bitmap... First i need to convert the black and white bitmap to vector. Only Simple shape ( bubble, line,dot,cross ...) Is there any WPF way to do that ? Or maybe a external program file (freeware); then i need to build the polygon, with the shape of the converted bitmap , color , size , orientation in parameter. i don't know how can i defined the lenght of the beam , and if it can be infiny ... To show the beam result, i think of making a room ( floor , wall ...) and beam will end to these wall... i don't care of real light render ( dispersion ...) but the scene render has to be real time and at least 15 times / second (with probably from one to 100 projectors at the same time), information about position, angle,shape,color will be sent for each render... Well so, i need sample for that, i guess that all of these things could be useful for other people If you have sample code : Convert Bitmap to vector Extrude vectors from one point with a angle parameter until collision of a wall Set x,y position of the beam depend of the projector position Set Alpha intensity of the beam, color Maybe i'm totally wrong and WPF is not ready for that , so advise me about other way ( xna,d3D ) with sample of course ;-) Thanks you

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• how to tile 3D mesh with image brush in XAML

  - by MC9000

  I have a 2D square in a ViewPort3D that I want to do a tiling of an image (like a checkerboard or flooring with "tiles" effect). I've created an image brush (the image is 50x50 pixels, the surface 250x550 pixels) and a viewport (trying to follow MS's site - though their example is for 2D), but only 1 of the colors in the "tile" image shows up and no tiling is seen. I can't find a single example on the Internet and MS's site has no info (that I can find) on 3D XAML anywhere, so I'm stumped as how to actually do this. <Viewport3D> <Viewport3D.Camera> <PerspectiveCamera Position="125,790,120" LookDirection="0,-.7,-0.25" UpDirection="0,0,1" /> </Viewport3D.Camera> <ModelVisual3D> <ModelVisual3D.Content> <Model3DGroup> <AmbientLight Color="white" /> <GeometryModel3D> <GeometryModel3D.Geometry> <MeshGeometry3D Positions="0,0,0 250,0,0 250,550,0 0,550,0 " TriangleIndices="0 1 3 1 2 3 "/> </GeometryModel3D.Geometry> <GeometryModel3D.Material> <DiffuseMaterial> <DiffuseMaterial.Brush> <ImageBrush ViewportUnits="Absolute" TileMode="Tile" ImageSource="testsquare.gif" Viewport="0,0,50,50" Stretch="None" ViewboxUnits="Absolute" /> </DiffuseMaterial.Brush> </DiffuseMaterial> </GeometryModel3D.Material> </GeometryModel3D> </Model3DGroup> </ModelVisual3D.Content> </ModelVisual3D> </Viewport3D>

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• Vectors rotations 3D camera tiliting

  - by TallGuy

  Hopefully easy answer, but I cannot get it. I have a 3D render engine I have written. I have the camera position, the lookat position and the up vector. I want to be able to "tilt" the camera left, right, up and down. Like a camera on a fixed tripod that you can grab the handle and tilt it it up, down, left right etc. The maths stumps me. I have been able to do forwards/backwards dolly and up/down/left/right panning, but cannot work out the vector math to get it to tilt. For left and right tilt I want to rotate the lookat position around the camera position, but I need to take into account the up vector, otherwise the rotation doesn't know which axis to to turn around. The maths/algorithm I need is along the lines of... Camera=(cx,cy,cz) Lookat=(lx,ly,lz) Up=(ux,uy,uz) RotatePointAroundVector(lx,ly,lz,ux,uy,uz,amount) Can anyone assist with the maths involved? Many thanks.

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• Friday Fun: Play 3D Rally Racing in Google Chrome

  - by Asian Angel

  Are you a racing fan in need of a short (or long) break from work? Then get ready to enjoy a mid-day speed boost with the 3D Rally Racing extension for Google Chrome. 3D Rally Racing in Action This is the opening screen for 3D Rally Racing. You can start game play, view current best times, and read through the instructions from here. The first thing that you should do is have a quick look at the instructions to help you get set up and started. Click on “Play” to start the process. Before you can go further you will need to choose a “User Name”. Once you have done that click “Select Track”… Note: The extension will retain your name for later use even if you close your browser. When you first start out you will only have access to two tracks…the others require reaching a certain score/level to unlock them. Once you select a track you will be taken to the next screen. After you have selected a track you will need to choose your car and car color. All that is left to do afterwards is click on “Go Race”. Note: You will be competing against three other vehicles in the race. Here is a look at the “Desert Race Track”… And a look at the “Snow Race Track”. This game moves quickly and it is easy to fall behind if you are not careful! You can have a lot of fun playing this game while you are waiting for the day to end. Conclusion If you love racing games and want a fun way to waste the rest of afternoon at work, then you should definitely give 3D Rally Racing a try. Links Download the 3d Rally Racing extension (Google Chrome Extensions) Similar Articles Productive Geek Tips Friday Fun: Uphill RushFriday Fun: Racing Fun with SuperTuxKart RacerHow to Make Google Chrome Your Default BrowserEnable Vista Black Style Theme for Google Chrome in XPIncrease Google Chrome’s Omnibox Popup Suggestion Count With an Undocumented Switch TouchFreeze Alternative in AutoHotkey The Icy Undertow Desktop Windows Home Server – Backup to LAN The Clear & Clean Desktop Use This Bookmarklet to Easily Get Albums Use AutoHotkey to Assign a Hotkey to a Specific Window Latest Software Reviews Tinyhacker Random Tips Revo Uninstaller Pro Registry Mechanic 9 for Windows PC Tools Internet Security Suite 2010 PCmover Professional Enable Check Box Selection in Windows 7 OnlineOCR – Free OCR Service Betting on the Blind Side, a Vanity Fair article 30 Minimal Logo Designs that Say More with Less LEGO Digital Designer – Free Create a Personal Website Quickly using Flavors.me

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• Friday Fun: Play 3D Rally Racing in Google Chrome

  - by Asian Angel

  Are you a racing fan in need of a short (or long) break from work? Then get ready to enjoy a mid-day speed boost with the 3D Rally Racing extension for Google Chrome. 3D Rally Racing in Action This is the opening screen for 3D Rally Racing. You can start game play, view current best times, and read through the instructions from here. The first thing that you should do is have a quick look at the instructions to help you get set up and started. Click on “Play” to start the process. Before you can go further you will need to choose a “User Name”. Once you have done that click “Select Track”… Note: The extension will retain your name for later use even if you close your browser. When you first start out you will only have access to two tracks…the others require reaching a certain score/level to unlock them. Once you select a track you will be taken to the next screen. After you have selected a track you will need to choose your car and car color. All that is left to do afterwards is click on “Go Race”. Note: You will be competing against three other vehicles in the race. Here is a look at the “Desert Race Track”… And a look at the “Snow Race Track”. This game moves quickly and it is easy to fall behind if you are not careful! You can have a lot of fun playing this game while you are waiting for the day to end. Conclusion If you love racing games and want a fun way to waste the rest of afternoon at work, then you should definitely give 3D Rally Racing a try. Links Download the 3d Rally Racing extension (Google Chrome Extensions) Similar Articles Productive Geek Tips Friday Fun: Uphill RushFriday Fun: Racing Fun with SuperTuxKart RacerHow to Make Google Chrome Your Default BrowserEnable Vista Black Style Theme for Google Chrome in XPIncrease Google Chrome’s Omnibox Popup Suggestion Count With an Undocumented Switch TouchFreeze Alternative in AutoHotkey The Icy Undertow Desktop Windows Home Server – Backup to LAN The Clear & Clean Desktop Use This Bookmarklet to Easily Get Albums Use AutoHotkey to Assign a Hotkey to a Specific Window Latest Software Reviews Tinyhacker Random Tips Revo Uninstaller Pro Registry Mechanic 9 for Windows PC Tools Internet Security Suite 2010 PCmover Professional Enable Check Box Selection in Windows 7 OnlineOCR – Free OCR Service Betting on the Blind Side, a Vanity Fair article 30 Minimal Logo Designs that Say More with Less LEGO Digital Designer – Free Create a Personal Website Quickly using Flavors.me

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• Tron: Legacy, 3D goggles, and embedded UA

  - by Roger Hart

  The 3D edition of Tron: Legacy opens with embedded user assistance. The film starts with an iconic white-on-black command-prompt message exhorting viewers to keep their 3D glasses on throughout. I can't quote it verbatim, and at the time of writing nor could anybody findable with 5 minutes of googling. But it was something like: "Although parts of the movie are 2D, it was shot in 3D, and glasses should be worn at all times. This is how it was intended to be viewed" Yeah - "intended". That part is verbatim. Wow. Now, I appreciate that even out of the small sub-set of readers who care a rat's ass for critical theory, few will be quite so gung-ho for the whole "death of the author" shtick as I tend to be. And yes, this is ergonomic rather than interpretive, but really - telling an audience how you expect them to watch a movie? That's up there with Big Steve's "you're holding it wrong" Even if it solves the problem, it's pretty arrogant. If anything, it's worse than RTFM. And if enough people are doing it wrong that you have to include the announcement, then maybe - just maybe - you've got a UX and/or design problem. Plus, current 3D glasses are like sitting in a darkened room, cosplaying the lovechild of Spider Jerusalem and Jarvis Cocker. Ok, so that observation was weirder than it was helpful; but seriously, nobody wants to wear the glasses if they don't have to. They ruin the visual experience of the non-3D sections, and personally, I find them pretty disruptive to the suspension of disbelief. This is an old, old, problem, and I'm carping on about it because Tron is enjoyable mass-market slush. It's easier for me to say "no, I can't just put some text on it. It's fundamentally broken, redesign it." in the middle of a small-ish, agile, software project than it would be for some beleaguered production assistant at the end of editing a $200 million movie. But lots of folks in software don't even get to do that. Way more people are going to see Tron, and be annoyed by this, than will ever read a technical communication blog. So hopefully, after two hours of being mildly annoyed, wanting to turn the brightness up, and slowly getting a headache, they'll realise something very, very important: you just can't document your way out of a shoddy UI.

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• OrbitFX: JavaFX 8 3D & NetBeans Platform in Space!

  - by Geertjan

  Here is a collection of screenshots from a proof of concept tool being developed by Nickolas Sabey and Sean Phillips from a.i. solutions. Before going further, read a great new article here written on java.net by Kevin Farnham, in light of the Duke's Choice Award (DCA) recently received at JavaOne 2013 by the a.i. solutions team. Here's Sean receiving the award on behalf of the a.i. solutions team, surrounded by the DCA selection committee and other officials: They won the DCA for helping facilitate and deploy the 2014 launch of NASA's Magnetospheric Multiscale mission, using JDK 7, the NetBeans Platform, and JavaFX to create the GEONS Ground Support System, helping reduce software development time by approximately 35%. The prototype tool that Nicklas and Sean are now working on uses JavaFX 3D with the NetBeans Platform and is nicknamed OrbitFX. Much of the early development is being done to experiment with different patterns, so that accuracy is currently not the goal. For example, you'll notice in the screenshots that the Earth is really close to the Sun, which is obviously not correct. The screenshots are generated using Java 8 build 111, together with NetBeans Platform 7.4. Inspired by various JavaOne demos using JavaFX 3D, Nick began development integrating them into their existing NetBeans Platform infrastructure. The 3D scene showing the Sun and Earth objects is all JavaFX 8 3D, demonstrating the use of Phong Material support, along with multiple light and camera objects. Each JavaFX component extends a JFXPanel type, so that each can easily be added to NetBeans Platform TopComponents. Right-clicking an item in the explorer view offers a context menu that animates and centers the 3D scene on the selected celestial body.  With each JavaFX scene component wrapped in a JFXPanel, they can easily be integrated into a NetBeans Platform Visual Library scene.  In this case, Nick and Sean are using an instance of their custom Slipstream PinGraphScene, which is an extension of the NetBeans Platform VMDGraphScene. Now, via the NetBeans Platform Visual Library, the OrbitFX celestial body viewer can be used in the same space as a WorldWind viewer, which is provided by a previously developed plugin. "This is a clear demonstration of the power of the NetBeans Platform as an application development framework," says Sean Phillips. "How else could you have so much rich application support placed literally side by side so easily?"

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• LWJGL - Mixing 2D and 3D

  - by nathan

  I'm trying to mix 2D and 3D using LWJGL. I have wrote 2D little method that allow me to easily switch between 2D and 3D. protected static void make2D() { glEnable(GL_BLEND); GL11.glMatrixMode(GL11.GL_PROJECTION); GL11.glLoadIdentity(); glOrtho(0.0f, SCREEN_WIDTH, SCREEN_HEIGHT, 0.0f, 0.0f, 1.0f); GL11.glMatrixMode(GL11.GL_MODELVIEW); GL11.glLoadIdentity(); } protected static void make3D() { glDisable(GL_BLEND); GL11.glMatrixMode(GL11.GL_PROJECTION); GL11.glLoadIdentity(); // Reset The Projection Matrix GLU.gluPerspective(45.0f, ((float) SCREEN_WIDTH / (float) SCREEN_HEIGHT), 0.1f, 100.0f); // Calculate The Aspect Ratio Of The Window GL11.glMatrixMode(GL11.GL_MODELVIEW); glLoadIdentity(); } The in my rendering code i would do something like: make2D(); //draw 2D stuffs here make3D(); //draw 3D stuffs here What i'm trying to do is to draw a 3D shape (in my case a quad) and i 2D image. I found this example and i took the code from TextureLoader, Texture and Sprite to load and render a 2D image. Here is how i load the image. TextureLoader loader = new TextureLoader(); Sprite s = new Sprite(loader, "player.png") And how i render it: make2D(); s.draw(0, 0); It works great. Here is how i render my quad: glTranslatef(0.0f, 0.0f, 30.0f); glScalef(12.0f, 9.0f, 1.0f); DrawUtils.drawQuad(); Once again, no problem, the quad is properly rendered. DrawUtils is a simple class i wrote containing utility method to draw primitives shapes. Now my problem is when i want to mix both of the above, loading/rendering the 2D image, rendering the quad. When i try to load my 2D image with the following: s = new Sprite(loader, "player.png); My quad is not rendered anymore (i'm not even trying to render the 2D image at this point). Only the fact of creating the texture create the issue. After looking a bit at the code of Sprite and TextureLoader i found that the problem appears after the call of the glTexImage2d. In the TextureLoader class: glTexImage2D(target, 0, dstPixelFormat, get2Fold(bufferedImage.getWidth()), get2Fold(bufferedImage.getHeight()), 0, srcPixelFormat, GL_UNSIGNED_BYTE, textureBuffer); Commenting this like make the problem disappear. My question is then why? Is there anything special to do after calling this function to do 3D? Does this function alter the render part, the projection matrix?

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• How do I construct a 3D model of a room from 2 stereo cameras? What is the determining factor to an

  - by yasumi

  Currently, I have extracted depth points to construct a 3D model from 2 stereo cameras. The methods I have used are openCV graphCut method and a software from http://sourceforge.net/projects/reconststereo/. However, the generated 3D models are not very accurate, which leads me to question: 1) What is the problem with pixel-based method? 2) Should I change my pixel-based method to feature-based or object-recognition-based method? Is there a best method? 3) Are there any other ways to do such reconstruction? Additionally, the depth extracted comes only from 2 images. What if I am turning the camera 360 degrees to obtain a video? Looking forward to suggestion on how to combine this depth information. Thank you very much :)

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• Does XNA 4 support 3D affine transformations for 2D images?

  - by Paul Baker Salt Shaker

  Looooong story short I'm essentially trying to code Mode 7 in XNA. Before I continue bashing my brains out in research and various failed matrix math equations; I just want to make sure that XNA supports this just out-of-the-box (so to speak). I'd prefer not to have to import other libraries, because I want to learn how it works myself that way I understand the whole thing better. However that's all for naught if it won't work at all. So no opengl, directx, etc if possible (will eventually do it just to optimize everything, but not for now). tl;dr: Can I has Mode 7 in XNA?

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• Render an image with separate layers for shadows/reflections in 3D Studio Max?

  - by Bernd Plontsch

  I have a scene with a simple object standing on a ground in the center. Caused by lights and the ground material there is some shadow and reflection on the ground surrounding the object. How can I render an image containing 3 separate layers for the object the ground the reflection / shadow on the ground Which format to use for this (it should include all 3 layers + I should be able to enable/disable them in Photoshop)? How do I define or prepare those layers for being rendering as image layers?

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• Render an image with layers for shadows /reflections, object and ground in 3D Studio Max?

  - by Bernd Plontsch

  I have a scene with a simple object standing on the ground in the center. This object has shadows and reflections on the ground. How can I render an image containing 3 separate layers for The object The ground The reflection / shadow on the ground Which format do I use for this? (It should include all 3 layers + I should be able to enable/disable them in Photoshop) How do I define or prepare those layers for being rendering as image layers?

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• Where should i organize my matrices in a 3D Game engine?

  - by Need4Sleep

  I'm working with a group of people from around the world to create a game engine(and hopefully a game with it) within the next upcoming years. My first task was writing a camera class for the engine to use in order to add cameras to the scene, position and follow points in the scene. The problem i have is with using matrices for transformations in the class, should i keep matrices separate to each class? such as have the model matrix in the model class, camera matrix in the camera class, or have all matrices placed in one class/chuck? I could see pros and cons for each method, but i wanted to hear some input form a more professional standpoint.

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• GLES2.0 3D Android game performance and multi threading the update?

  - by Ofer

  I have profiled my mixed Java\C++ Android game and I got the following result: https://dl.dropbox.com/u/8025882/PompiDev/AndroidProfile.png As you can see, the pink think is a C++ functions that updates the game. It does things like updating the logic but it mostly it generates a "request list" for rendering. The thing is, I generate DrawLists on C++ and then send them to Java to process and draw using GLES2.0. Since then I was able to improve update from 9ms down to about 7ms, but I would like to ask if I would benefit from multi threading the update? As I understand from that diagram is that the function that takes the most time is the one you see it's color on the timeline. So the pink area is taken mostly by update. The other area has MainOpenGL.Handle as it's main contributor(whch is my java function), but since it's not drawn to the top of the diagram I can conclude other things are happening at the same time that use the CPU? Or even GPU stuff that isn't shown in this diagram. I am not sure how the GPU works on this. Does it calculate stuff in parallel to the CPU? Or is it part of the CPU usage as in SoC? I am not sure. Anyway, in case GPU things DO happen in parallel to CPU, then I would guess that if I do this C++ Update in parallel to the thread that makes the OpenGL calls, I might make use of "dead CPU time" due to GPU stalling or maybe have the GPU calls getting processed earlier because it won't have to wait for Update to finish? How do you suggest to improve performance based on that? Thanks.

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• How should I organize my matrices in a 3D game engine?

  - by Need4Sleep

  I'm working with a group of people from around the world to create a game engine (and hopefully a game with it) within the next upcoming years. My first task is to write a camera class for the engine to use in order to add cameras to the scene, with position and follow points. The problem I have is with using matrices for transformations in the class, should I keep matrices separate to each class? Such as have the model matrix in the model class, camera matrix in the camera class, or have all matrices placed in one class/chuck? I could see pros and cons for each method, but I wanted to hear some input form a more professional standpoint.

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• I've got my 2D/3D conversion working perfectly, how to do perspective

  - by user346992

  Although the context of this question is about making a 2d/3d game, the problem i have boils down to some math. Although its a 2.5D world, lets pretend its just 2d for this question. // xa: x-accent, the x coordinate of the projection // mapP: a coordinate on a map which need to be projected // _Dist_ values are constants for the projection, choosing them correctly will result in i.e. an isometric projection xa = mapP.x * xDistX + mapP.y * xDistY; ya = mapP.x * yDistX + mapP.y * yDistY; xDistX and yDistX determine the angle of the x-axis, and xDistY and yDistY determine the angle of the y-axis on the projection (and also the size of the grid, but lets assume this is 1-pixel for simplicity). x-axis-angle = atan(yDistX/xDistX) y-axis-angle = atan(yDistY/yDistY) a "normal" coordinate system like this --------------- x | | | | | y has values like this: xDistX = 1; yDistX = 0; xDistY = 0; YDistY = 1; So every step in x direction will result on the projection to 1 pixel to the right end 0 pixels down. Every step in the y direction of the projection will result in 0 steps to the right and 1 pixel down. When choosing the correct xDistX, yDistX, xDistY, yDistY, you can project any trimetric or dimetric system (which is why i chose this). So far so good, when this is drawn everything turns out okay. If "my system" and mindset are clear, lets move on to perspective. I wanted to add some perspective to this grid so i added some extra's like this: camera = new MapPoint(60, 60); dx = mapP.x - camera.x; // delta x dy = mapP.y - camera.y; // delta y dist = Math.sqrt(dx * dx + dy * dy); // dist is the distance to the camera, Pythagoras etc.. all objects must be in front of the camera fac = 1 - dist / 100; // this formula determines the amount of perspective xa = fac * (mapP.x * xDistX + mapP.y * xDistY) ; ya = fac * (mapP.x * yDistX + mapP.y * yDistY ); Now the real hard part... what if you got a (xa,ya) point on the projection and want to calculate the original point (x,y). For the first case (without perspective) i did find the inverse function, but how can this be done for the formula with the perspective. May math skills are not quite up to the challenge to solve this. ( I vaguely remember from a long time ago mathematica could create inverse function for some special cases... could it solve this problem? Could someone maybe try?)

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