Changes

* Collision Detection* Recursive calls**: Vector Frame::position()**: Matrix Frame::rotation()**: Matrix Frame::world()** Detaching from and attaching to a parent frame**: Frame::attachTo()* Visibility Determination** Plane**: normal + constant - examples**: equation of a plane: dot(n, x) + D = 0**: positive side of a plane dot(n, x) + D > 0**: test a point for presence within a set of planes**: normal calculations - general rotation matrix - vector and angle** ViewingFrustum**: parameters**:: near-clipping plane**:: far-clipping plane**:: field of view angle**:: aspect ratio**: 6 planes**:: near and far planes**:: left and right planes**:: top and bottom planes**: coding**:: constructor**:: ViewingFrustum::contains()* Finite Size of Objects*: Expansion of the Viewing Frustum*: Bounded Volume*:: BoundedVolume : Frame*:: BoundedVolume::setRadius()*:: BoundedVolume::getRadius()

<!--# Uninstall DirectX SDK 9.0c August 2007

# Port Game Design over to Update Base Code-->

*: rotation about an axis*: order of rotation matters*: Euler angles*: gimble lock*:: quaternions*:: geometric algebra (more abstract)* Billboards and Skyboxes*: definition, purpose of a billboard*: types of billboards* SkyBox*: definition of a skybox*: other forms* Index Buffers, *: amount of storage needed for vertex data*: duplication of vertex data*: indexing*: indexed primitives* Meshes*: Stock Objects*:: Sphere*:: Cylinder*:: Torus*:: Utah Teapot*: Simple Mesh COM object*:: What is a mesh?*:: Create a Mesh*:: DrawSubset*:: FVF settings

* Form Teams, Identify Members (3 2-5 members) and add your team and members to [[GAM670/DPS905 Teams 20111 | Teams 20111]] ''' Before Thursday 20th'''.

=== Resources === == Week 3 - Sep 19 Jan 23 ===== This Week ====== To Do ====== Resources ===* [http://www.microsoft.com/downloads/en/details.aspx?FamilyID=3021d52b-514e-41d3-ad02-438a3ba730ba DirectX SDK June 2010] == Week 4 - Jan 30 ===== This Week ===* [http://msdn.microsoft.com/en-us/library/bb147178%28v=VS.85%29.aspx Mathematics of Lighting]* Vertex Shaders* Lighting in Vertex Shaders** Notation**: G_a - global ambient color**: C_a - material ambient color**: C_d - material diffuse color**: C_s - material specular color**: L_{a_i} - ambient color of light i**: L_{d_i} - diffuse color of light i**: L_{s_i} - specular color of light i**: L_{dir_i} - direction vector of light i**: N - normal to the surface at the vertex*** [http://msdn.microsoft.com/en-us/library/bb172279%28v=VS.85%29.aspx Attenuation and Spotlight Factors]**** Atten_i - attenuation of light i***: d_i - distance from light i***:: d_i = |L_{dir_i}|***: a₀ - constant attenuation factor***: a₁ - linear attenuation factor***: a₂ - quadratic attenuation factor***: Atten_i = 1/(a₀ + a₁ d_i + a₂ d_i²)***: Atten_i = [0, 1]**** Spot_i - spot factor of light i***: Spot_i = {[r_i - cos(phi_i/2)]/[cos(theta_i/2) - cos(phi_i/2)]}^f_i***: r_i - cosine of angle from axis of spotlight_i***:: r_i = norm(- light direction in camera space) . norm(L_{dir_i})***: phi_i - penumbra (exterior cone) angle of spotlight_i***: theta_i - umbra (interior cone) angle of spotlight_i***: f_i - falloff factor of spotlight_i** [http://en.wikipedia.org/wiki/Blinn%E2%80%93Phong_shading_model Blinn-Phong and Phong]**: V - viewpoint vector**:: V = norm(Camera_position - Vertex_position)** Phong - account accurately for position of viewer**: Specular reflectance = (R_i . V)^p_i**: R_i - reflection vector**:: R_i = 2 * (N . L_{dir_i}) N - L_{dir_i}**: p_i - true specular power of light i**:** Blinn-Phong - use halfway vector instead of reflection vector - adjust power to compensate**: Specular reflectance = (N . H_i)^p'_i**: H_i - halfway vector**:: H_i = norm(V + L_{dir_i})**:: H_i = norm([0,0,1] + L_{dir_i}) - less computationally intensive - assumes that camera is at infinity along z axis**: p'_i - adjusted specular power of light i**:** [http://msdn.microsoft.com/en-us/library/bb172256%28v=VS.85%29.aspx Ambient]**: C_a * ( G_a + sum [L_{a_i} * Atten_i * Spot_i] )** [http://msdn.microsoft.com/en-us/library/bb219656%28v=VS.85%29.aspx Diffuse]**: C_d * sum [ L_{d_i} * (N . L_{dir_i}) * Atten_i * Spot_i ]** [http://msdn.microsoft.com/en-us/library/bb147399%28VS.85%29.aspx Specular]**: C_s * sum [ L_{s_i} * (N . H_i)^p'_i * Atten_i * Spot_i ] - Blinn-Phong**: C_s * sum [ L_{s_i} * (R_i . V)^p_i * Atten_i * Spot_i ] - Phong** [http://msdn.microsoft.com/en-us/library/ff471376%28v=vs.85%29.aspx HLSL Intrinsic Functions]*** [http://msdn.microsoft.com/en-us/library/bb509630%28v=vs.85%29.aspx normalize()] - normalize a vector*** [http://msdn.microsoft.com/en-us/library/bb509594%28v=vs.85%29.aspx dot(,)] - dot product of two vectors of any size*** [http://msdn.microsoft.com/en-us/library/bb509617%28v=vs.85%29.aspx length()] - length of a vector*** [http://msdn.microsoft.com/en-us/library/bb509645%28v=vs.85%29.aspx saturate()] - clamp scalar, vector, or matrix to [0, 1] === To Do ===* reorganize framework code so that vertex shader receives product of world, view, and projection matrices** store viewProjection matrix as an instance variable in Display** add viewProjection query to Display to extract product of view and projection matrices** retrieve viewProjection in *::draw() method** pre-multiply viewProjection by world to obtain composite matrix to pass to vertex shader** add composite matrix to the constant table in the vertex shader* reorganize framework code to minimize duplication of heading normalization** perform normalization of heading in Display::beginDraw() === Resources === == Week 5 - Feb 6 ===== This Week ====== To Do ====== Resources ===  == Week 6 - Feb 13 ===== This Week ====== To Do ====== Resources ===  == Week 7 - Feb 20 ==