point light illumination using Phong model - physics

I wish to render a scene that contains one box and a point light source using the Phong illumination scheme. The following are the relevant code snippets for my calculation:
R3Rgb Phong(R3Scene *scene, R3Ray *ray, R3Intersection *intersection)
{
R3Rgb radiance;
if(intersection->hit == 0)
{
radiance = scene->background;
return radiance;
}
...
// obtain ambient term
... // this is zero for my test
// obtain emissive term
... // this is also zero for my test
// for each light in the scene, obtain calculate the diffuse and specular terms
R3Rgb intensity_diffuse(0,0,0,1);
R3Rgb intensity_specular(0,0,0,1);
for(unsigned int i = 0; i < scene->lights.size(); i++)
{
R3Light *light = scene->Light(i);
R3Rgb light_color = LightIntensity(scene->Light(i), intersection->position);
R3Vector light_vector = -LightDirection(scene->Light(i), intersection->position);
// check if the light is "behind" the surface normal
if(normal.Dot(light_vector)<=0)
continue;
// calculate diffuse reflection
if(!Kd.IsBlack())
intensity_diffuse += Kd*normal.Dot(light_vector)*light_color;
if(Ks.IsBlack())
continue;
// calculate specular reflection
... // this I believe to be irrelevant for the particular test I'm doing
}
radiance = intensity_diffuse;
return radiance;
}
R3Rgb LightIntensity(R3Light *light, R3Point position)
{
R3Rgb light_intensity;
double distance;
double denominator;
if(light->type != R3_DIRECTIONAL_LIGHT)
{
distance = (position-light->position).Length();
denominator = light->constant_attenuation +
(light->linear_attenuation*distance) +
(light->quadratic_attenuation*distance*distance);
}
switch(light->type)
{
...
case R3_POINT_LIGHT:
light_intensity = light->color/denominator;
break;
...
}
return light_intensity;
}
R3Vector LightDirection(R3Light *light, R3Point position)
{
R3Vector light_direction;
switch(light->type)
{
...
case R3_POINT_LIGHT:
light_direction = position - light->position;
break;
...
}
light_direction.Normalize();
return light_direction;
}
I believe that the error must be somewhere in either LightDirection(...) or LightIntensity(...) functions because when I run my code using a directional light source, I obtain the desired rendered image (thus this leads me to believe that the Phong illumination equation is correct). Also, in Phong(...), when I computed the intensity_diffuse and while debugging, I divided light_color by 10, I was obtaining a resulting image that looked more like what I need. Am I calculating the light_color correctly?
Thanks.

Turned out I had no error. The "final image" I was comparing my results to wasn't computed correctly.

Related

How do I extract the output from CGAL::poisson_surface_reconstruction_delaunay?

I am trying to convert a point cloud to a trimesh using CGAL::poisson_surface_reconstruction_delaunay() and extract the data inside the trimesh to an OpenGL friendly format:
// The function below should set vertices and indices so that:
// triangle 0: (vertices[indices[0]],vertices[indices[1]],vertices[indices[2]]),
// triangle 1: (vertices[indices[3]],vertices[indices[4]],vertices[indices[5]])
// ...
// triangle n - 1
void reconstructPointsToSurfaceInOpenGLFormat(const& std::list<std::pair<Kernel::Point_3, Kernel::Vector_3>> points, // input: points and normals
std::vector<glm::vec3>& vertices, // output
std::vector<unsigned int>& indices) { // output
CGAL::Surface_mesh<Kernel::Point_3> trimesh;
double spacing = 10;
bool ok = CGAL::poisson_surface_reconstruction_delaunay(points.begin(), points.end(),
CGAL::First_of_pair_property_map<std::pair<Kernel::Point_3, Kernel::Vector_3>>(),
CGAL::Second_of_pair_property_map<std::pair<Kernel::Point_3, Kernel::Vector_3>>(),
trimesh, spacing);
// How do I set the vertices and indices values?
}
Please help me on iterating trough the triangles in trimesh and setting the vertices and indices in the code above.
The class Polyhedron_3 is not indexed based so you need to provide a item class with ids like Polyhedron_items_with_id_3. You will then need to call CGAL::set_halfedgeds_items_id(trimesh) to init the ids. If you can't modify the Polyhedron type, then you can use dynamic properties and will need to init the ids.
Note that Surface_mesh is indexed based and no particular handling is needed to get indices.
Based on sloriots code from his answer:
void mesh2GLM(CGAL::Surface_mesh<Kernel::Point_3>& trimesh, std::vector<glm::vec3>& vertices, std::vector<int>& indices) {
std::map<size_t, size_t> meshIndex2Index;
// Loop over all vertices in mesh:
size_t index = 0;
for (Mesh::Vertex_index v : CGAL::vertices(trimesh)) {
CGAL::Epick::Point_3 point = trimesh.point(v);
std::size_t vi = v;
vertices.push_back(glm::vec3(point.x(), point.y(), point.z()));
meshIndex2Index[vi] = index;
index++;
}
// Loop over all triangles (faces):
for (Mesh::Face_index f : faces(trimesh)) {
for (Mesh::Vertex_index v : CGAL::vertices_around_face(CGAL::halfedge(f, trimesh), trimesh)) {
trimesh.point(v);
std::size_t vi = v;
size_t index = meshIndex2Index[vi];
indices.push_back(index);
}
}
}
Seems to work fine.

Sprite Smooth movement and facing position according to movement

i'm trying to make this interaction with keyboard for movement using some sprites and i got stuck with two situations.
1) The character movement is not going acording to the animation itself (it only begin moving after one second or so while it's already being animated). What i really want it to do is, to move without a "initial acceleration feeling" that i get because of this problem
2) I can't think of a way to make the character face the position it should be facing when the key is released. I'll post the code here, but since it need images to work correctly and is not so small i made a skecth available at this link if you want to check it out: https://www.openprocessing.org/sketch/439572
PImage[] reverseRun = new PImage [16];
PImage[] zeroArray = new PImage [16];
void setup(){
size(800,600);
//Right Facing
for(int i = 0; i < zeroArray.length; i++){
zeroArray[i] = loadImage (i + ".png");
zeroArray[i].resize(155,155);
}
//Left Facing
for( int z = 0; z < reverseRun.length; z++){
reverseRun[z] = loadImage ( "mirror" + z + ".png");
reverseRun[z].resize(155,155);
}
}
void draw(){
frameRate(15);
background(255);
imageMode(CENTER);
if(x > width+10){
x = 0;
} else if (x < - 10){
x = width;}
if (i >= zeroArray.length){
i = 3;} //looping to generate constant motiion
if ( z >= reverseRun.length){
z = 3;} //looping to generate constant motiion
if (isRight) {
image(zeroArray[i], x, 300);
i++;
} //going through the images at the array
else if (isLeft) {
image(reverseRun[z],x,300);
z++;
} going through the images at the array
else if(!isRight){
image(zeroArray[i], x, 300);
i = 0; } //"stoped" sprite
}
}
//movement
float x = 300;
float y = 300;
float i = 0;
float z = 0;
float speed = 25;
boolean isLeft, isRight, isUp, isDown;
void keyPressed() {
setMove(keyCode, true);
if (isLeft ){
x -= speed;
}
if(isRight){
x += speed;
}
}
void keyReleased() {
setMove(keyCode, false);
}
boolean setMove(int k, boolean b) {
switch (k) {
case UP:
return isUp = b;
case DOWN:
return isDown = b;
case LEFT:
return isLeft = b;
case RIGHT:
return isRight = b;
default:
return b; }
}
The movement problem is caused by your operating system setting a delay between key presses. Try this out by going to a text editor and holding down a key. You'll notice that a character shows up immediately, followed by a delay, followed by the character repeating until you release the key.
That delay is also happening between calls to the keyPressed() function. And since you're moving the character (by modifying the x variable) inside the keyPressed() function, you're seeing a delay in the movement.
The solution to this problem is to check which key is pressed instead of relying solely on the keyPressed() function. You could use the keyCode variable inside the draw() function, or you could keep track of which key is pressed using a set of boolean variables.
Note that you're actually already doing that with the isLeft and isRight variables. But you're only checking them in the keyPressed() function, which defeats the purpose of them because of the problem I outlined above.
In other words, move this block from the keyPressed() function so it's inside the draw() function instead:
if (isLeft ){
x -= speed;
}
if(isRight){
x += speed;
}
As for knowing which way to face when the character is not moving, you could do that using another boolean value that keeps track of which direction you're facing.
Side note: you should really try to properly indent your code, as right now it's pretty hard to read.
Shameless self-promotion: I wrote a tutorial on user input in Processing available here.

Vulkan depth image binding error

Hi I am trying to bind depth memory buffer but I get an error saying as below. I have no idea why this error is popping up.
The depth format is VK_FORMAT_D16_UNORM and the usage is VK_IMAGE_USAGE_DEPTH_STENCIL_ATTACHMENT_BIT. I have read online that the TILING shouldnt be linear but then I get a different error. Thanks!!!
The code for creating and binding the image is as below.
VkImageCreateInfo imageInfo = {};
// If the depth format is undefined, use fallback as 16-byte value
if (Depth.format == VK_FORMAT_UNDEFINED) {
Depth.format = VK_FORMAT_D16_UNORM;
}
const VkFormat depthFormat = Depth.format;
VkFormatProperties props;
vkGetPhysicalDeviceFormatProperties(*deviceObj->gpu, depthFormat, &props);
if (props.linearTilingFeatures & VK_FORMAT_FEATURE_DEPTH_STENCIL_ATTACHMENT_BIT) {
imageInfo.tiling = VK_IMAGE_TILING_LINEAR;
}
else if (props.optimalTilingFeatures & VK_FORMAT_FEATURE_DEPTH_STENCIL_ATTACHMENT_BIT) {
imageInfo.tiling = VK_IMAGE_TILING_OPTIMAL;
}
else {
std::cout << "Unsupported Depth Format, try other Depth formats.\n";
exit(-1);
}
imageInfo.sType = VK_STRUCTURE_TYPE_IMAGE_CREATE_INFO;
imageInfo.pNext = NULL;
imageInfo.imageType = VK_IMAGE_TYPE_2D;
imageInfo.format = depthFormat;
imageInfo.extent.width = width;
imageInfo.extent.height = height;
imageInfo.extent.depth = 1;
imageInfo.mipLevels = 1;
imageInfo.arrayLayers = 1;
imageInfo.samples = NUM_SAMPLES;
imageInfo.queueFamilyIndexCount = 0;
imageInfo.pQueueFamilyIndices = NULL;
imageInfo.sharingMode = VK_SHARING_MODE_EXCLUSIVE;
imageInfo.usage = VK_IMAGE_USAGE_DEPTH_STENCIL_ATTACHMENT_BIT;
imageInfo.flags = 0;
// User create image info and create the image objects
result = vkCreateImage(deviceObj->device, &imageInfo, NULL, &Depth.image);
assert(result == VK_SUCCESS);
// Get the image memory requirements
VkMemoryRequirements memRqrmnt;
vkGetImageMemoryRequirements(deviceObj->device, Depth.image, &memRqrmnt);
VkMemoryAllocateInfo memAlloc = {};
memAlloc.sType = VK_STRUCTURE_TYPE_MEMORY_ALLOCATE_INFO;
memAlloc.pNext = NULL;
memAlloc.allocationSize = 0;
memAlloc.memoryTypeIndex = 0;
memAlloc.allocationSize = memRqrmnt.size;
// Determine the type of memory required with the help of memory properties
pass = deviceObj->memoryTypeFromProperties(memRqrmnt.memoryTypeBits, 0, /* No requirements */ &memAlloc.memoryTypeIndex);
assert(pass);
// Allocate the memory for image objects
result = vkAllocateMemory(deviceObj->device, &memAlloc, NULL, &Depth.mem);
assert(result == VK_SUCCESS);
// Bind the allocated memeory
result = vkBindImageMemory(deviceObj->device, Depth.image, Depth.mem, 0);
assert(result == VK_SUCCESS);
Yes, linear tiling may not be supported for depth usage Images.
Consult the specification and Valid Usage section of VkImageCreateInfo. The capability is queried by vkGetPhysicalDeviceFormatProperties and vkGetPhysicalDeviceImageFormatProperties commands. Though depth formats are "opaque", so there is not much reason to use linear tiling.
This you seem to be doing in your code.
But the error informs you that you are trying to use a memory type that is not allowed for the given Image. Use vkGetImageMemoryRequirements command to query which memory types are allowed.
Possibly you have some error there (you are using 0x1 which is obviously not part of 0x84 per the message). You may want to reuse the example code in the Device Memory chapter of the specification. Provide your memoryTypeFromProperties implementation for more specific answer.
I accidentally set the typeIndex to 1 instead of i and it works now. In my defense I have been vulkan coding the whole day and my eyes are bleeding :). Thanks for the help.
bool VulkanDevice::memoryTypeFromProperties(uint32_t typeBits, VkFlags
requirementsMask, uint32_t *typeIndex)
{
// Search memtypes to find first index with those properties
for (uint32_t i = 0; i < 32; i++) {
if ((typeBits & 1) == 1) {
// Type is available, does it match user properties?
if ((memoryProperties.memoryTypes[i].propertyFlags & requirementsMask) == requirementsMask) {
*typeIndex = i;// was set to 1 :(
return true;
}
}
typeBits >>= 1;
}
// No memory types matched, return failure
return false;
}

Making sense of a list of GPS values in an iOS application

I have a web service that interfaces with the google maps API to generate a polygon on a google map. The service takes the GPS values and stores them for retrieval.
The problem is that when I try and use these values on my iPhone app the MKPolyline is just either a mess or a bunch of zig-zag lines.
Is there a way to make sense of these values so I can reconstruct the polygon?
My current code looks like this
private void GenerateMap()
{
var latCoord = new List<double>();
var longCoord = new List<double>();
var pad = AppDelegate.Self.db.GetPaddockFromCrop(crop);
mapMapView.MapType = MKMapType.Standard;
mapMapView.ZoomEnabled = true;
mapMapView.ScrollEnabled = false;
mapMapView.OverlayRenderer = (m, o) =>
{
if (o.GetType() == typeof(MKPolyline))
{
var p = new MKPolylineRenderer((MKPolyline)o);
p.LineWidth = 2.0f;
p.StrokeColor = UIColor.Green;
return p;
}
else
return null;
};
scMapType.ValueChanged += (s, e) =>
{
switch (scMapType.SelectedSegment)
{
case 0:
mapMapView.MapType = MKMapType.Standard;
break;
case 1:
mapMapView.MapType = MKMapType.Satellite;
break;
case 2:
mapMapView.MapType = MKMapType.Hybrid;
break;
}
};
if (pad.Boundaries != null)
{
var bounds = pad.Boundaries.OrderBy(t => t.latitude).ThenBy(t => t.longitude).ToList();
foreach (var l in bounds)
{
double lat = l.latitude;
double lon = l.longitude;
latCoord.Add(lat);
longCoord.Add(lon);
}
if (latCoord.Count != 0)
{
if (latCoord.Count > 0)
{
var coord = new List<CLLocationCoordinate2D>();
for (int i = 0; i < latCoord.Count; ++i)
{
var c = new CLLocationCoordinate2D();
c.Latitude = latCoord[i];
c.Longitude = longCoord[i];
coord.Add(c);
}
var line = MKPolyline.FromCoordinates(coord.ToArray());
mapMapView.AddOverlay(line);
mapMapView.SetVisibleMapRect(line.BoundingMapRect, true);
}
}
}
}
MKPolygon / MKPolygonRenderer gives the same sort of random line mess. The OrderBy LINQ makes no difference other than to make the random lines a zig-zag going up or down the view.
Since you don't know the order the points were captured in, you can't trace the actual path traveled around the perimeter of the paddock; this is why your polylines are turning into silly-walks all over the map. Lacking that information, you can at best make an educated guess.
Some possible heuristics you might want to try:
Take the average of all the points to get a "somewhere in the middle" point, then order by atan2(l.latitude - middle.latitude, l.longitude - middle.longitude). (Be careful, atan2 is undefined at (0, 0)!)
Take the convex hull of the points captured: for a relatively small number of points you can get away with the simple quadratic time Jarvis's march. This has the approximate effect of wrapping a notional rubber band around the outside of the map push-pins by discarding points that would form concavities, and should also give you the order of the remaining points.

Solving math equations from a text field

I am trying to increase the performance of the update(); function below. The numbers inside the mathNumber variable will come from an NSString created from a text field. Even though I'm using five numbers I would like it to be able to run any amount that the user inserts into a text field. What are some ways I could speed up the code in update(); with C and/or Objective-C? I also would like it to work on the Mac and iPhone.
typedef struct {
float *left;
float *right;
float *equals;
int operation;
} MathVariable;
#define MULTIPLY 1
#define DIVIDE 2
#define ADD 3
#define SUBTRACT 4
MathVariable *mathVariable;
float *mathPointer;
float newNumber;
void init();
void update();
float solution(float *left, float *right, int *operation);
void init()
{
float *mathNumber = (float *) malloc(sizeof(float) * 9);
mathNumber[0] =-1.0;
mathNumber[1] =-2.0;
mathNumber[2] = 3.0;
mathNumber[3] = 4.0;
mathNumber[4] = 5.0;
mathNumber[5] = 0.0;
mathNumber[6] = 0.0;
mathNumber[7] = 0.0;
mathNumber[8] = 0.0;
mathVariable = (MathVariable *) malloc(sizeof(MathVariable) * 4);
mathVariable[0].equals = &mathPointer[5];
mathVariable[0].left = &mathPointer[2];
mathVariable[0].operation = MULTIPLY;
mathVariable[0].right = &mathPointer[3];
mathVariable[1].equals = &mathPointer[6];
mathVariable[1].left = &mathPointer[1];
mathVariable[1].operation = SUBTRACT;
mathVariable[1].right = &mathPointer[5];
mathVariable[2].equals = &mathPointer[7];
mathVariable[2].left = &mathPointer[0];
mathVariable[2].operation = ADD;
mathVariable[2].right = &mathPointer[6];
mathVariable[3].equals = &mathPointer[8];
mathVariable[3].left = &mathPointer[7];
mathVariable[3].operation = MULTIPLY;
mathVariable[3].right = &mathPointer[4];
return self;
}
// This is updated with a timer
void update()
{
int i;
for (i = 0; i < 4; i++)
{
*mathVariable[i].equals = solution(mathVariable[i].left, mathVariable[i].right, &mathVariable[i].operation);
}
// Below is the equivalent of: newNumber = (-1.0 + (-2.0 - 3.0 * 4.0)) * 5.0;
// newNumber should equal -75
newNumber = mathPointer[8];
}
float solution(float *left, float *right, int *operation)
{
if ((*operation) == MULTIPLY)
{
return (*left) * (*right);
}
else if ((*operation) == DIVIDE)
{
return (*left) / (*right);
}
else if ((*operation) == ADD)
{
return (*left) + (*right);
}
else if ((*operation) == SUBTRACT)
{
return (*left) - (*right);
}
else
{
return 0.0;
}
}
EDIT:
I first must say thank you for all of your kind posts. This is the first forum I've gotten people that don't tell me I'm a complete idiot. Sorry about the return self; I didn't realize this was an objective-C forum too (thus why I hastily used C). I have my own parser which is slow but I'm not concerned with its speed. All I want is to speed up the update() function since it slows everything down and 90% of the objects use it. Also, I'm try to get it to work faster with iOS devices since I can't compile anything in the text boxes. If you have any other advice on making update() faster I thank you.
Thanks again,
Jonathan
EDIT 2:
Well I got it to run faster by changing it from:
int i;
for (i = 0; i < 4; i++)
{
*mathVariable[i].equals = solution(*mathVariable[i].left, *mathVariable[i].right, mathVariable[i].operation);
}
To:
*mathVariable[0].equals = solution(*mathVariable[0].left, *mathVariable[0].right, mathVariable[0].operation);
*mathVariable[1].equals = solution(*mathVariable[1].left, *mathVariable[1].right, mathVariable[1].operation);
*mathVariable[2].equals = solution(*mathVariable[2].left, *mathVariable[2].right, mathVariable[2].operation);
*mathVariable[3].equals = solution(*mathVariable[3].left, *mathVariable[3].right, mathVariable[3].operation);
Is there any other way to increment it as fast as the preloaded numbers in the array like above?
Your code is a mix of styles, and contains some unwarranted uses of pointers (e.g. when passing operation to solution). It is unclear why you are passing the floats by reference, but maybe you intend that these change be changed and the expression reevaluated?
Below are some changes both to tidy and incidentally speed it up - the cost of any of this is not high and you may be guilt of premature optimization. As #Dave commented there are libraries to do parsing for you, but if you're targeting simple math expressions an operator precedence stack-based parser/evaluator is easy enough to code.
Suggestion 1: use enum - cleaner:
typedef enum { MULTIPLY, DIVIDE, ADD, SUBTRACT } BinaryOp;
typedef struct
{
float *left;
float *right;
float *equals;
BinaryOp operation;
} MathVariable;
Suggestion 2: use switch - cleaner and probably faster as well:
float solution(float left, float right, int operation)
{
switch(operation)
{
case MULTIPLY:
return left * right;
case DIVIDE:
return left / right;
case ADD:
return left + right;
case SUBTRACT:
return left - right;
default:
return 0.0;
}
}
Note I also removed passing pointers, the call is now:
*mathVariable[i].equals = solution(*mathVariable[i].left,
*mathVariable[i].right,
mathVariable[i].operation);
Now an OO person will probably object (:-)) to the switch (or the if/else) and argue each node (your MathVariable) should be an instance which knows how to perform its own operation. A C person might suggest you use function pointers in the node so they can perform their own operation. All this is design and you'll have to figure that out yourself.